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A Review of the Terahertz Conductivity of Bulk and Nano-Materials

  • James Lloyd-Hughes
  • Tae-In Jeon
Invited Review Article

Abstract

We review pioneering and recent studies of the conductivity of solid state systems at terahertz frequencies. A variety of theoretical formalisms that describe the terahertz conductivity of bulk, mesoscopic and nanoscale materials are outlined, and their validity and limitations are given. Experimental highlights are discussed from studies of inorganic semiconductors, organic materials (such as graphene, carbon nanotubes and polymers), metallic films and strongly correlated electron systems including superconductors.

Keywords

Terahertz Conductivity Semiconductor Superconductor 

Notes

Acknowledgements

JL would like to acknowledge the EPSRC (UK) for a Fellowship. This work was partially supported by a National Research Foundation of Korea (NRF) grant funded by the Korea government (MEST) (No. 2010-0009070 and No. 2011-0001053).

References

  1. 1.
    B. Ferguson, X.C. Zhang, Nat. Mater. 1, 26 (2002)CrossRefGoogle Scholar
  2. 2.
    C.A. Schmuttenmaer, Chem. Rev. 104, 1759 (2004)CrossRefGoogle Scholar
  3. 3.
    M. Tonouchi, Nat. Photon. 1, 97 (2007)CrossRefGoogle Scholar
  4. 4.
    J.B. Baxter, G.W. Guglietta, Anal. Chem. 83, 4342 (2011)CrossRefGoogle Scholar
  5. 5.
    P.U. Jepsen, D.G. Cooke, M. Koch, Laser Photon. Rev. 5, 124 (2011)CrossRefGoogle Scholar
  6. 6.
    R. Ulbricht, E. Hendry, J. Shan, T.F. Heinz, M. Bonn, Rev. Mod. Phys. 83, 543 (2011)CrossRefGoogle Scholar
  7. 7.
    H. Němec, P. Kužel, V. Sundström, J. Photochem. Photobiol. A-Chem. 215, 123 (2010)CrossRefGoogle Scholar
  8. 8.
    R.D. Averitt, A.J. Taylor, J. Phys. Condens. Matter 14, R1357 (2002)CrossRefGoogle Scholar
  9. 9.
    D.N. Basov, R.D. Averitt, D. van der Marel, M. Dressel, K. Haule, Rev. Mod. Phys. 83, 471 (2011)CrossRefGoogle Scholar
  10. 10.
    A.J.L. Adam, J Infrared Milli Terahz Waves 32, 1 (2011)CrossRefGoogle Scholar
  11. 11.
    T. Löffler, M. Kreß, M. Thomson, T. Hahn, N. Hasegawa, H.G. Roskos, Semicond. Sci. Technol. 20, S134 (2005)CrossRefGoogle Scholar
  12. 12.
    M.D. Thomson, M. Kreß, T. Löffler, H.G. Roskos, Laser Photon. Rev. 1, 349 (2007)CrossRefGoogle Scholar
  13. 13.
    D.H. Auston, Appl. Phys. Lett. 26, 101 (1975)CrossRefGoogle Scholar
  14. 14.
    D.H. Auston, K.P. Cheung, P.R. Smith, Appl. Phys. Lett. 45, 284 (1984)CrossRefGoogle Scholar
  15. 15.
    X.C. Zhang, B.B. Hu, J.T. Darrow, D.H. Auston, Appl. Phys. Lett. 56, 1011 (1990)CrossRefGoogle Scholar
  16. 16.
    M.B. Johnston, D.M. Whittaker, A. Corchia, A.G. Davies, E.H. Linfield, Phys. Rev. B 65, 165301 (2002)CrossRefGoogle Scholar
  17. 17.
    G. Klatt, F. Hilser, W. Qiao, M. Beck, R. Gebs, A. Bartels, K. Huska, U. Lemmer, G. Bastian, M.B. Johnston, M. Fischer, J. Faist, T. Dekorsy, Opt. Express 18, 4939 (2010)CrossRefGoogle Scholar
  18. 18.
    D.H. Auston, K.P. Cheung, J. Opt. Soc. Am. B, Opt. Phys. 2, 606 (1985)CrossRefGoogle Scholar
  19. 19.
    P.C.M. Planken, H.K. Nienhuys, H.J. Bakker, T. Wenckebach, J. Opt. Soc. Am. B, Opt. Phys. 18, 313 (2001)CrossRefGoogle Scholar
  20. 20.
    G. Zhao, R.N. Schouten, W.T. Wenckebach, P.C.M. Planken, Rev. Sci. Instrum. 73, 1715 (2002)CrossRefGoogle Scholar
  21. 21.
    E. Castro-Camus, L. Fu, J. Lloyd-Hughes, H.H. Tan, C. Jagadish, M.B. Johnston, J. Appl. Phys. 104, 053113 (2008)CrossRefGoogle Scholar
  22. 22.
    S. Nashima, O. Morikawa, K. Takata, M. Hangyo, Appl. Phys. Lett. 79, 3923 (2001)CrossRefGoogle Scholar
  23. 23.
    A. Pashkin, M. Kempa, H. Němec, F. Kadlec, P. Kužel, Rev. Sci. Instrum. 74, 4711 (2003)CrossRefGoogle Scholar
  24. 24.
    P.U. Jepsen, B.M. Fischer, Opt. Lett. 30, 29 (2005)CrossRefGoogle Scholar
  25. 25.
    L. Duvillaret, F. Garet, J.L. Coutaz, IEEE J. Sel. Top. Quantum Electron. 2, 739 (1996)CrossRefGoogle Scholar
  26. 26.
    R.E.G. III, M. Tinkham, Phys. Rev. 108, 243 (1957)CrossRefGoogle Scholar
  27. 27.
    H.K. Nienhuys, V. Sundström, Appl. Phys. Lett. 87, 012101 (2005)CrossRefGoogle Scholar
  28. 28.
    P. Parkinson, J. Lloyd-Hughes, Q. Gao, H.H. Tan, C. Jagadish, M.B. Johnston, L.M. Herz, Nano Lett. 7, 2162 (2007)CrossRefGoogle Scholar
  29. 29.
    J.M. Pitarke, V.M. Silkin, E.V. Chulkov, P.M. Echenique, Rep. Prog. Phys. 70, 1 (2007)CrossRefGoogle Scholar
  30. 30.
    N.V. Smith, Phys. Rev. B 64, 155106 (2001)CrossRefGoogle Scholar
  31. 31.
    N.F. Mott, M. Kaveh, Adv. Phys. 34, 329 (1985)CrossRefGoogle Scholar
  32. 32.
    T.-I. Jeon, D. Grischkowsky, A. Mukherjee, R. Menon, Appl. Phys. Lett. 79, 4142 (2001)CrossRefGoogle Scholar
  33. 33.
    T.-I. Jeon, D. Grischkowsky, A. Mukherjee, R. Menon, Appl. Phys. Lett. 81, 2902 (2002)CrossRefGoogle Scholar
  34. 34.
    K.H. Lee, A.J. Heeger, Y. Cao, Phys. Rev. B 48, 14884 (1993)CrossRefGoogle Scholar
  35. 35.
    G. Grosso, G. Parravicini, Solid State Physics (Academic Press, 2000)Google Scholar
  36. 36.
    P.Y. Yu, M. Cardona, Fundamentals of Semiconductors, 3rd edn. (Springer, 2003)Google Scholar
  37. 37.
    J. Lloyd-Hughes, Appl. Phys. Lett. 100, 122103 (2012)CrossRefGoogle Scholar
  38. 38.
    T. Unuma, M. Yoshita, T. Noda, H. Sakaki, H. Akiyama, J. Appl. Phys. 93, 1586 (2003)CrossRefGoogle Scholar
  39. 39.
    T.-I. Jeon, D. Grischkowsky, Phys. Rev. Lett. 78, 1106 (1997)CrossRefGoogle Scholar
  40. 40.
    T. Ando, Z. Physik B 24, 33 (1976)MathSciNetCrossRefGoogle Scholar
  41. 41.
    R.H.M. Groeneveld, D. Grischkowsky, J. Opt. Soc. Am. B, Opt. Phys. 11, 2502 (1994)CrossRefGoogle Scholar
  42. 42.
    R.A. Kaindl, M.A. Carnahan, D. Hägele, R. Lövenich, D.S. Chemla, Nature 423, 734 (2003)CrossRefGoogle Scholar
  43. 43.
    R. Huber, R.A. Kaindl, B.A. Schmid, D.S. Chemla, Phys. Rev. B 72, 161314 (2005)CrossRefGoogle Scholar
  44. 44.
    R.A. Kaindl, D. Hägele, M.A. Carnahan, D.S. Chemla, Phys. Rev. B 79, 045320 (2009)CrossRefGoogle Scholar
  45. 45.
    D.C. Mattis, J. Bardeen, Phys. Rev. 111, 412 (1958)MATHCrossRefGoogle Scholar
  46. 46.
    A.J. Berlinsky, C. Kallin, G. Rose, A.C. Shi, Phys. Rev. B 48, 4074 (1993)CrossRefGoogle Scholar
  47. 47.
    S.D. Brorson, R. Buhleier, I.E. Trofimov, J.O. White, C. Ludwig, F.F. Balakirev, H.U. Habermeier, J. Kuhl, J. Opt. Soc. Am. B, Opt. Phys. 13, 1979 (1996)CrossRefGoogle Scholar
  48. 48.
    W. Gotze, P. Wolfle, Phys. Rev. B 6, 1226 (1972)CrossRefGoogle Scholar
  49. 49.
    D.N. Basov, T. Timusk, Rev. Mod. Phys. 77, 721 (2005)CrossRefGoogle Scholar
  50. 50.
    E. Hendry, M. Koeberg, B. O’Regan, M. Bonn, Nano Lett. 6, 755 (2006)CrossRefGoogle Scholar
  51. 51.
    D. Polder, J. van Santen, Physica 12, 257 (1946)CrossRefGoogle Scholar
  52. 52.
    D.A.G. Bruggeman, Ann. Physik 416, 636 (1935)CrossRefGoogle Scholar
  53. 53.
    M. Scheller, S. Wietzke, C. Jansen, M. Koch, J. Phys. D, Appl. Phys. 42, 065415 (2009)CrossRefGoogle Scholar
  54. 54.
    J.C. Dyre, J. Appl. Phys. 64, 2456 (1988)CrossRefGoogle Scholar
  55. 55.
    J.C. Dyre, Phys. Rev. B 48, 12511 (1993)CrossRefGoogle Scholar
  56. 56.
    K. Shimakawa, H. Naito, S.O. Kasap, Philos. Mag. Lett. 89, 673 (2009)CrossRefGoogle Scholar
  57. 57.
    K. Shimakawa, T. Itoh, H. Naito, S.O. Kasap, Appl. Phys. Lett. 100, 132102 (2012)CrossRefGoogle Scholar
  58. 58.
    D.G. Cooke, A.N. MacDonald, A. Hryciw, J. Wang, Q. Li, A. Meldrum, F.A. Hegmann, Phys. Rev. B 73, 193311 (2006)CrossRefGoogle Scholar
  59. 59.
    B.K. Ridley, Quantum Processes in Semiconductors, 4th edn. (Oxford University Press, 2004)Google Scholar
  60. 60.
    J. Lloyd-Hughes, E. Castro-Camus, M.D. Fraser, C. Jagadish, M.B. Johnston, Phys. Rev. B 70, 235330 (2004)CrossRefGoogle Scholar
  61. 61.
    D.S. Kim, D.S. Citrin, Appl. Phys. Lett. 87, 061108 (2005)CrossRefGoogle Scholar
  62. 62.
    E. Castro-Camus, J. Lloyd-Hughes, M.B. Johnston, Phys. Rev. B 71, 195301 (2005)CrossRefGoogle Scholar
  63. 63.
    J. Lloyd-Hughes, E. Castro-Camus, M.B. Johnston, Solid State Commun. 136, 595 (2005)CrossRefGoogle Scholar
  64. 64.
    D.S. Kim, D.S. Citrin, Appl. Phys. Lett. 88, 161117 (2006)CrossRefGoogle Scholar
  65. 65.
    K.J. Willis, S.C. Hagness, I. Knezevic, Appl. Phys. Lett. 96, 062106 (2010)CrossRefGoogle Scholar
  66. 66.
    H. Němec, P. Kužel, V. Sundström, Phys. Rev. B 79, 115309 (2009)CrossRefGoogle Scholar
  67. 67.
    H. Němec, P. Kužel, F. Kadlec, D. Fattakhova-rohlfing, J. Szeifert, T. Bein, V. Kalousek, J. Rathousky, Appl. Phys. Lett. 96, 062103 (2010)CrossRefGoogle Scholar
  68. 68.
    R. Kubo, J. Phys. Soc. Jpn. 12, 570 (1957)MathSciNetCrossRefGoogle Scholar
  69. 69.
    P. Prins, F.C. Grozema, J.M. Schins, S. Patil, U. Scherf, L.D.A. Siebbeles, Phys. Rev. Lett. 96, 146601 (2006)CrossRefGoogle Scholar
  70. 70.
    Z. Mics, H. Němec, I. Rychetsky, P. Kužel, P. Formanek, P. Maly, P. Nemec, Phys. Rev. B 83, 155326 (2011)CrossRefGoogle Scholar
  71. 71.
    D. Grischkowsky, S. Keiding, M. van Exter, C. Fattinger, J. Opt. Soc. Am. B, Opt. Phys. 7, 2006 (1990)CrossRefGoogle Scholar
  72. 72.
    M. van Exter, D. Grischkowsky, Phys. Rev. B 41, 12140 (1990)CrossRefGoogle Scholar
  73. 73.
    T.-I. Jeon, D. Grischkowsky, Appl. Phys. Lett. 72, 2259 (1998)CrossRefGoogle Scholar
  74. 74.
    S. Nashima, O. Morikawa, K. Takata, M. Hangyo, J. Appl. Phys. 90, 837 (2001)CrossRefGoogle Scholar
  75. 75.
    T.-I. Jeon, D. Grischkowsky, Appl. Phys. Lett. 72, 3032 (1998)CrossRefGoogle Scholar
  76. 76.
    M. Herrmann, M. Tani, K. Sakai, R. Fukasawa, J. Appl. Phys. 91, 1247 (2002)CrossRefGoogle Scholar
  77. 77.
    N. Katzenellenbogen, D. Grischkowsky, Appl. Phys. Lett. 61, 840 (1992)CrossRefGoogle Scholar
  78. 78.
    P.G. Huggard, J.A. Cluff, G.P. Moore, C.J. Shaw, S.R. Andrews, S.R. Keiding, E.H. Linfield, D.A. Ritchie, J. Appl. Phys. 87, 2382 (2000)CrossRefGoogle Scholar
  79. 79.
    M.C. Nuss, D.H. Auston, F. Capasso, Phys. Rev. Lett. 58, 2355 (1987)CrossRefGoogle Scholar
  80. 80.
    B.I. Greene, J.F. Federici, D.R. Dykaar, A.F.J. Levi, L. Pfeiffer, Opt. Lett. 16, 48 (1991)CrossRefGoogle Scholar
  81. 81.
    P.N. Saeta, J.F. Federici, B.I. Greene, D.R. Dykaar, Appl. Phys. Lett. 60, 1477 (1992)CrossRefGoogle Scholar
  82. 82.
    S.E. Ralph, Y. Chen, J. Woodall, D. McInturff, Phys. Rev. B 54, 5568 (1996)CrossRefGoogle Scholar
  83. 83.
    S.S. Prabhu, S.E. Ralph, M.R. Melloch, E.S. Harmon, Appl. Phys. Lett. 70, 2419 (1997)CrossRefGoogle Scholar
  84. 84.
    B.N. Flanders, D.C. Arnett, N.F. Scherer, IEEE J. Sel. Top. Quantum Electron. 4, 353 (1998)CrossRefGoogle Scholar
  85. 85.
    M.C. Beard, G.M. Turner, C.A. Schmuttenmaer, Phys. Rev. B 62, 15764 (2000)CrossRefGoogle Scholar
  86. 86.
    M.C. Beard, G.M. Turner, C.A. Schmuttenmaer, J. Appl. Phys. 90, 5915 (2001)CrossRefGoogle Scholar
  87. 87.
    M.C. Beard, C.A. Schmuttenmaer, J. Chem. Phys. 114, 2903 (2001)CrossRefGoogle Scholar
  88. 88.
    R. Huber, F. Tauser, A. Brodschelm, M. Bichler, G. Abstreiter, A. Leitenstorfer, Nature 414, 286 (2001)CrossRefGoogle Scholar
  89. 89.
    R. Huber, C. Kübler, S. Tubel, A. Leitenstorfer, Q.T. Vu, H. Haug, F. Kohler, M.C. Amann, Phys. Rev. Lett. 94, 027401 (2005)CrossRefGoogle Scholar
  90. 90.
    D.M. Mittleman, J. Cunningham, M.C. Nuss, M. Geva, Appl. Phys. Lett. 71, 16 (1997)CrossRefGoogle Scholar
  91. 91.
    K. Yatsugi, N. Matsumoto, T. Nagashima, M. Hangyo, Appl. Phys. Lett. 98, 212108 (2011)CrossRefGoogle Scholar
  92. 92.
    W. Zhang, A.K. Azad, D. Grischkowsky, Appl. Phys. Lett. 82, 2841 (2003)CrossRefGoogle Scholar
  93. 93.
    G.H. Ma, D. Li, H. Ma, J. Shen, C.G. Wu, J. Ge, S.H. Hu, N. Dai, Appl. Phys. Lett. 93, 211101 (2008)CrossRefGoogle Scholar
  94. 94.
    J.B. Baxter, C.A. Schmuttenmaer, Phys. Rev. B 80, 235205 (2009)CrossRefGoogle Scholar
  95. 95.
    X.H. Zhang, H.C. Guo, A.M. Yong, J.D. Ye, S.T. Tan, X.W. Sun, J. Appl. Phys. 107, 033101 (2010)CrossRefGoogle Scholar
  96. 96.
    T.T. Kang, M. Yamamoto, M. Tanaka, A. Hashimoto, A. Yamamoto, R. Sudo, A. Noda, D.W. Liu, K. Yamamoto, Opt. Lett. 34, 2507 (2009)CrossRefGoogle Scholar
  97. 97.
    A. Schneider, Opt. Lett. 35, 265 (2010)CrossRefGoogle Scholar
  98. 98.
    T.T. Kang, M. Yamamoto, M. Tanaka, A. Hashimoto, A. Yamamoto, R. Suto, A. Noda, D.W. Liu, K. Yamamoto, Opt. Lett. 35, 266 (2010)CrossRefGoogle Scholar
  99. 99.
    J. Lloyd-Hughes, S.K.E. Merchant, L. Fu, H.H. Tan, C. Jagadish, E. Castro-Camus, M.B. Johnston, Appl. Phys. Lett. 89, 232102 (2006)CrossRefGoogle Scholar
  100. 100.
    G.M. Turner, M.C. Beard, C.A. Schmuttenmaer, J. Phys. Chem. B 106, 11716 (2002)CrossRefGoogle Scholar
  101. 101.
    P. Tiwana, P. Parkinson, M.B. Johnston, H.J. Snaith, L.M. Herz, J. Phys. Chem. C 114, 1365 (2010)CrossRefGoogle Scholar
  102. 102.
    P. Tiwana, P. Docampo, M.B. Johnston, H.J. Snaith, L.M. Herz, ACS Nano 5, 5158 (2011)CrossRefGoogle Scholar
  103. 103.
    E. Hendry, F. Wang, J. Shan, T.F. Heinz, M. Bonn, Phys. Rev. B 69, 081101 (2004)CrossRefGoogle Scholar
  104. 104.
    L.V. Titova, T.L. Cocker, D.G. Cooke, X.Y. Wang, A. Meldrum, F.A. Hegmann, Phys. Rev. B 83, 085403 (2011)CrossRefGoogle Scholar
  105. 105.
    P. Parkinson, H.J. Joyce, Q. Gao, H.H. Tan, X. Zhang, J. Zou, C. Jagadish, L.M. Herz, M.B. Johnston, Nano Lett. 9, 3349 (2009)CrossRefGoogle Scholar
  106. 106.
    H. Němec, J. Rochford, O. Taratula, E. Galoppini, P. Kužel, T. Polìvka, A. Yartsev, V. Sundström, Phys. Rev. Lett. 104, 197401 (2010)CrossRefGoogle Scholar
  107. 107.
    S. Ramani, A. Cheville, J.E. Garcia, V. Agarwal, Phys. Status Solidi C 4, 2111 (2007)CrossRefGoogle Scholar
  108. 108.
    S.K.E. Merchant, J. Lloyd-Hughes, L. Sirbu, I.M. Tiginyanu, P. Parkinson, L.M. Herz, M.B. Johnston, Nanotechnology 19, 395704 (2008)CrossRefGoogle Scholar
  109. 109.
    J. Lloyd-Hughes, S. Mueller, G. Scalari, H. Bishop, A. Crossley, M. Enachi, L. Sirbu, I.M. Tiginyanu, Appl. Phys. Lett. 100, 132106 (2012)CrossRefGoogle Scholar
  110. 110.
    J. Lloyd-Hughes, S.K.E. Merchant, L. Sirbu, I.M. Tiginyanu, M.B. Johnston, Phys. Rev. B 78, 085320 (2008)CrossRefGoogle Scholar
  111. 111.
    N.A. Kabir, Y. Yoon, J.R. Knab, J.Y. Chen, A.G. Markelz, J.L. Reno, Y. Sadofyev, S. Johnson, Y.H. Zhang, J.P. Bird, Appl. Phys. Lett. 89, 132109 (2006)CrossRefGoogle Scholar
  112. 112.
    J. Lloyd-Hughes, Y.L. Delley, G. Scalari, M. Fischer, V. Liverini, M. Beck, J. Faist, J. Appl. Phys. 106, 093104 (2009)CrossRefGoogle Scholar
  113. 113.
    R. Kohler, A. Tredicucci, F. Beltram, H.E. Beere, E.H. Linfield, A.G. Davies, D.A. Ritchie, R.C. Iotti, F. Rossi, Nature 417, 156 (2002)CrossRefGoogle Scholar
  114. 114.
    G. Scalari, C. Walther, M. Fischer, R. Terazzi, H. Beere, D. Ritchie, J. Faist, Laser Photon. Rev. 3, 45 (2009)CrossRefGoogle Scholar
  115. 115.
    P.G. Huggard, J.A. Cluff, C.J. Shaw, S.R. Andrews, E.H. Linfield, D.A. Ritchie, Appl. Phys. Lett. 71, 2647 (1997)CrossRefGoogle Scholar
  116. 116.
    X.F. Wang, D.J. Hilton, L. Ren, D.M. Mittleman, J. Kono, J.L. Reno, Opt. Lett. 32, 1845 (2007)CrossRefGoogle Scholar
  117. 117.
    J. Lloyd-Hughes, H.E. Beere, D.A. Ritchie, M.B. Johnston, Phys. Rev. B 77, 125322 (2008)CrossRefGoogle Scholar
  118. 118.
    G. Scalari, C. Maissen, D. Turčinková, D. Hagenmuller, de Liberato, C. Ciuti, C. Reichl, D. Schuh, W. Wegscheider, M. Beck, J. Faist, Science 335, 1323 (2012)CrossRefGoogle Scholar
  119. 119.
    J. Kröll, J. Darmo, S.S. Dhillon, X. Marcadet, M. Calligaro, C. Sirtori, K. Unterrainer, Nature 449, 698 (2007)CrossRefGoogle Scholar
  120. 120.
    W. Parz, T. Müller, J. Darmo, K. Unterrainer, M. Austerer, G. Strasser, L.R. Wilson, J.W. Cockburn, A.B. Krysa, J.S. Roberts, Appl. Phys. Lett. 93, 091105 (2008)CrossRefGoogle Scholar
  121. 121.
    N. Jukam, S.S. Dhillon, D. Oustinov, Z. Zhao, S. Hameau, J. Tignon, S. Barbieri, A. Vasanelli, P. Filloux, C. Sirtori, X. Marcadet, Appl. Phys. Lett. 93, 101115 (2008)CrossRefGoogle Scholar
  122. 122.
    N. Jukam, S.S. Dhillon, D. Oustinov, J. Madeo, C. Manquest, S. Barbieri, C. Sirtori, S.P. Khanna, E.H. Linfield, A.G. Davies, J. Tignon, Nat. Photonics 3, 715 (2009)CrossRefGoogle Scholar
  123. 123.
    J. Lloyd-Hughes, G. Scalari, A. van Kolck, M. Fischer, M. Beck, J. Faist, Opt. Express 17, 18387 (2009)CrossRefGoogle Scholar
  124. 124.
    G. Gunter, A.A. Anappara, J. Hees, A. Sell, G. Biasiol, L. Sorba, C. Ciuti, A. Tredicucci, A. Leitenstorfer, R. Huber, Nature 458, 178 (2009)CrossRefGoogle Scholar
  125. 125.
    M.C. Beard, G.M. Turner, J.E. Murphy, O.I. Mićic̀, M.C. Hanna, A.J. Nozik, C.A. Schmuttenmaer, Nano Lett. 3, 1695 (2003)CrossRefGoogle Scholar
  126. 126.
    M.C. Beard, G.M. Turner, C.A. Schmuttenmaer, Nano Lett. 2, 983 (2002)CrossRefGoogle Scholar
  127. 127.
    F. Wang, J. Shan, M.A. Islam, I.P. Herman, M. Bonn, T.F. Heinz, Nat. Mater. 5, 861 (2006)CrossRefGoogle Scholar
  128. 128.
    E. Hendry, M. Koeberg, F. Wang, H. Zhang, C.D. Donega, D. Vanmaekelbergh, M. Bonn, Phys. Rev. Lett. 96, 057408 (2006)CrossRefGoogle Scholar
  129. 129.
    D.A. Yarotski, R.D. Averitt, N. Negre, S.A. Crooker, A.J. Taylor, G.P. Donati, A. Stintz, L.F. Lester, K.J. Malloy, J. Opt. Soc. Am. B, Opt. Phys. 19, 1480 (2002)CrossRefGoogle Scholar
  130. 130.
    D.G. Cooke, F.A. Hegmann, Y.I. Mazur, W.Q. Ma, X. Wang, Z.M. Wang, G.J. Salamo, M. Xiao, T.D. Mishima, M.B. Johnson, Appl. Phys. Lett. 85, 3839 (2004)CrossRefGoogle Scholar
  131. 131.
    R.P. Prasankumar, A. Scopatz, D.J. Hilton, A.J. Taylor, R.D. Averitt, J.M. Zide, A.C. Gossard, Appl. Phys. Lett. 86, 201107 (2005)CrossRefGoogle Scholar
  132. 132.
    T. Müller, W. Parz, K. Unterrainer, S. Sauvage, J. Houel, P. Boucaud, A. Miard, A. Lemaître, Phys. Rev. B 77, 035314 (2008)CrossRefGoogle Scholar
  133. 133.
    H.P. Porte, P.U. Jepsen, N. Daghestani, E.U. Rafailov, D. Turchinovich, Appl. Phys. Lett. 94, 262104 (2009)CrossRefGoogle Scholar
  134. 134.
    D.G. Cooke, F.A. Hegmann, Y.I. Mazur, Z.M. Wang, W. Black, H. Wen, G.J. Salamo, T.D. Mishima, G.D. Lian, M.B. Johnson, J. Appl. Phys. 103, 023710 (2008)CrossRefGoogle Scholar
  135. 135.
    D. Stehr, C.M. Morris, D. Talbayev, M. Wagner, H.C. Kim, A.J. Taylor, H. Schneider, P.M. Petroff, M.S. Sherwin, Appl. Phys. Lett. 95, 251105 (2009)CrossRefGoogle Scholar
  136. 136.
    A.K. Geim, P. Kim, Scientific American, p. 90 (2008)Google Scholar
  137. 137.
    Y.M. Lin, K.A. Jenkins, A. Valdes-garcia, J.P. Small, D.B. Farmer, P. Avouris, Nano Lett. 9, 422 (2009)CrossRefGoogle Scholar
  138. 138.
    V. Ryzhii, M. Ryzhii, T. Otsuji, J. Appl. Phys. 101, 083114 (2007)CrossRefGoogle Scholar
  139. 139.
    F. Rana, IEEE Trans. Nanotech. 7, 91 (2008)CrossRefGoogle Scholar
  140. 140.
    N.L. Rangel., J.M. Seminario, J. Phys. Chem. A 112, 13699 (2008)CrossRefGoogle Scholar
  141. 141.
    N.L. Rangel., J.M. Seminario, J. Chem. Phys. 132, 125102 (2010)CrossRefGoogle Scholar
  142. 142.
    T. Otsuji, T. Watanabe, H. Karasawa, T. Komori, A. Satou, T. Suemitsu, M. Suemitsu, E. Sano, W. Knap, V. Ryzhii, J. Infrared Millim. Terahertz Waves 32, 629 (2011)CrossRefGoogle Scholar
  143. 143.
    P.A. George, J. Strait, J. Dawlaty, S. Shivaraman, M. Chandrashekhar, F. Rana, M.G. Spencer, Nano Lett. 8, 4248 (2008)CrossRefGoogle Scholar
  144. 144.
    J.M. Dawlaty, S. Shivaraman, J. Strait, P. George, M. Chandrashekhar, F. Rana, M.G. Spencer, D. Veksler, Y.Q. Chen, Appl. Phys. Lett. 93, 131905 (2008)CrossRefGoogle Scholar
  145. 145.
    D. Sun, Z.K. Wu, C. Divin, X.B. Li, C. Berger, P.N. First, T.B. Norris, Phys. Rev. Lett. 101, 157402 (2008)CrossRefGoogle Scholar
  146. 146.
    H. Choi, F. Borondics, D.A. Siegel, S.Y. Zhou, M.C. Martin, A. Lanzara, R.A. Kaindl, Appl. Phys. Lett. 94, 172102 (2009)CrossRefGoogle Scholar
  147. 147.
    T. Hofmann, A. Boosalis, P. Kuhne, C.M. Herzinger, J.A. Woollam, D.K. Gaskill, J.L. Tedesco, M. Schubert, Appl. Phys. Lett. 98, 041906 (2011)CrossRefGoogle Scholar
  148. 148.
    J.L. Tomaino, A.D. Jameson, J.W. Kevek, M.J. Paul, A.M. v d Zande, R.A. Barton, P.L. McEuen, E.D. Minot, Y. Lee, Opt. Express 19, 141 (2011)CrossRefGoogle Scholar
  149. 149.
    A.R. Wright, X.G. Xu, J.C. Cao, C. Zhang, Appl. Phys. Lett. 95, 072101 (2009)CrossRefGoogle Scholar
  150. 150.
    N. Hamada, S. Sawada, A. Oshiyama, Phys. Rev. Lett. 68, 1579 (1992)CrossRefGoogle Scholar
  151. 151.
    O. Hilt, H.B. Brom, M. Ahlskog, Phys. Rev. B 61, R5129 (2000)CrossRefGoogle Scholar
  152. 152.
    P.W. Barone, S. Baik, D.A. Heller, M. Strano, Nat. Mater. 4, 86 (2005)CrossRefGoogle Scholar
  153. 153.
    M.E. Itkis, F. Borondics, A. Yu, R.C. Haddon, Science 312, 413 (2006)CrossRefGoogle Scholar
  154. 154.
    Y. Kawano, T. Uchida, K. Ishibashi, Appl. Phys. Lett. 95, 083123 (2009)CrossRefGoogle Scholar
  155. 155.
    T.-I. Jeon, K.J. Kim, C. Kang, S.J. Oh, J.H. Son, K.H. An, D.J. Bae, Y.H. Lee, Appl. Phys. Lett. 80, 3403 (2002)CrossRefGoogle Scholar
  156. 156.
    L. Ren, C.L. Pint, L.G. Booshenri, W.D. Rice, X.F. Wang, D.J. Hilton, K. Takeya, I. Kawayama, M. Tonouchi, R.H. Hauge, J. Kono, Nano Lett. 9, 2610 (2009)CrossRefGoogle Scholar
  157. 157.
    A. Ugawa, A.G. Rinzler, D.B. Tanner, Phys. Rev. B 60, R11305 (1999)CrossRefGoogle Scholar
  158. 158.
    T.-I. Jeon, K.J. Kim, C. Kang, I.H. Maeng, J.H. Son, K.H. An, J.Y. Lee, Y.H. Lee, J. Appl. Phys. 95, 5736 (2004)CrossRefGoogle Scholar
  159. 159.
    J. Han, Z. Zhu, Y. Liao, Z. Wang, L. Yu, W. Zhang, L. Sun, T. Wang, Jetp Lett. 78, 436 (2003)CrossRefGoogle Scholar
  160. 160.
    T.-I. Jeon, J.H. Son, K.H. An, Y.H. Lee, Y.S. Lee, J. Appl. Phys. 98, 034316 (2005)CrossRefGoogle Scholar
  161. 161.
    H. Nishimura, N. Minami, R. Shimano, Appl. Phys. Lett. 91, 011108 (2007)CrossRefGoogle Scholar
  162. 162.
    I. Maeng, C. Kang, S.J. Oh, J.H. Son, K.H. An, Y.H. Lee, Appl. Phys. Lett. 90, 051914 (2007)CrossRefGoogle Scholar
  163. 163.
    G.Y. Slepyan, M.V. Shuba, S.A. Maksimenko, C. Thomsen, A. Lakhtakia, Phys. Rev. B 81, 205423 (2010)CrossRefGoogle Scholar
  164. 164.
    T. Kampfrath, K. v Volkmann, C.M. Aguirre, P. Desjardins, R. Martel, M. Krenz, C. Frischkorn, M. Wolf, L. Perfetti, Phys. Rev. Lett. 101, 267403 (2008)CrossRefGoogle Scholar
  165. 165.
    L. Perfetti, T. Kampfrath, F. Schapper, A. Hagen, T. Hertel, C.M. Aguirre, P. Desjardins, R. Martel, C. Frischkorn, M. Wolf, Phys. Rev. Lett. 96, 027401 (2006)CrossRefGoogle Scholar
  166. 166.
    X. Xu, K. Chuang, R.J. Nicholas, M.B. Johnston, L.M. Herz, J. Phys. Chem. C 113, 18106 (2009)CrossRefGoogle Scholar
  167. 167.
    X.L. Xu, P. Parkinson, K.C. Chuang, M.B. Johnston, R.J. Nicholas, L.M. Herz, Phys. Rev. B 82, 085441 (2010)Google Scholar
  168. 168.
    J.G. Wang, M.W. Graham, Y.Z. Ma, G.R. Fleming, R.A. Kaindl, Phys. Rev. Lett. 104, 177401 (2010)CrossRefGoogle Scholar
  169. 169.
    R. Rungsawang, V.G. Geethamma, E.P.J. Parrott, D.A. Ritchie, E.M. Terentjev, J. Appl. Phys. 103, 123503 (2008)CrossRefGoogle Scholar
  170. 170.
    G.B. Jung, Y. Myung, Y.J. Cho, Y.J. Sohn, D.M. Jang, H.S. Kim, C.W. Lee, J. Park, I. Maeng, J.H. Son, C. Kang, J. Phys. Chem. C 114, 11258 (2010)CrossRefGoogle Scholar
  171. 171.
    J. Kyoung, E.Y. Jang, M.D. Lima, H.R. Park, R.O. Robles, X. Lepro, Y.H. Kim, R.H. Baughman, D.S. Kim, Nano Lett. 11, 4227 (2011)CrossRefGoogle Scholar
  172. 172.
    T.-I. Jeon, D. Grischkowsky, A. Mukherjee, R. Menon, Appl. Phys. Lett. 77, 2452 (2000)CrossRefGoogle Scholar
  173. 173.
    T.-I. Jeon, D. Grischkowsky, A. Mukherjee, R. Menon, Synth. Met. 135, 451 (2003)CrossRefGoogle Scholar
  174. 174.
    T. Unuma, K. Fujii, H. Kishida, A. Nakamura, Appl. Phys. Lett. 97, 033308 (2010)CrossRefGoogle Scholar
  175. 175.
    J.L. Brédas, G.B. Street, Accounts Chem. Res. 18, 309 (1985)CrossRefGoogle Scholar
  176. 176.
    E. Hendry, J.M. Schins, L.P. Candeias, L.D.A. Siebbeles, M. Bonn, Phys. Rev. Lett. 92, 196601 (2004)CrossRefGoogle Scholar
  177. 177.
    E. Hendry, M. Koeberg, J.M. Schins, H.K. Nienhuys, V. Sundström, L.D.A. Siebbeles, M. Bonn, Phys. Rev. B 71, 125201 (2005)CrossRefGoogle Scholar
  178. 178.
    E. Hendry, M. Koeberg, J.M. Schins, L.D.A. Siebbeles, M. Bonn, Chem. Phys. Lett. 432, 441 (2006)CrossRefGoogle Scholar
  179. 179.
    P. Prins, F.C. Grozema, J.M. Schins, T.J. Savenije, S. Patil, U. Scherf, L.D.A. Siebbeles, Phys. Rev. B 73, 045204 (2006)CrossRefGoogle Scholar
  180. 180.
    H. Sirringhaus, Adv. Mater. 17, 2411 (2005)CrossRefGoogle Scholar
  181. 181.
    J. Lloyd-Hughes, T. Richards, H. Sirringhaus, E. Castro-Camus, L.M. Herz, M.B. Johnston, Appl. Phys. Lett. 89, 112101 (2006)CrossRefGoogle Scholar
  182. 182.
    J. Lloyd-Hughes, T. Richards, H. Sirringhaus, M.B. Johnston, L.M. Herz, Phys. Rev. B 77, 125203 (2008)CrossRefGoogle Scholar
  183. 183.
    X. Ai, M.C. Beard, K.P. Knutsen, S.E. Shaheen, G. Rumbles, R.J. Ellingson, J. Phys. Chem. B 110, 25462 (2006)CrossRefGoogle Scholar
  184. 184.
    P. Parkinson, J. Lloyd-Hughes, M.B. Johnston, L.M. Herz, Phys. Rev. B 78, 115321 (2008)CrossRefGoogle Scholar
  185. 185.
    P.D. Cunningham, L.M. Hayden, J. Phys. Chem. C 112, 7928 (2008)CrossRefGoogle Scholar
  186. 186.
    H. Němec, H.K. Nienhuys, F. Zhang, O. Inganäs, A. Yartsev, V. Sundström, J. Phys. Chem. C 112, 6558 (2008)CrossRefGoogle Scholar
  187. 187.
    D.G. Cooke, F.C. Krebs, P.U. Jepsen, Phys. Rev. Lett. 108, 056603 (2012)CrossRefGoogle Scholar
  188. 188.
    F.A. Hegmann, R.R. Tykwinski, K.P.H. Lui, J.E. Bullock, J.E. Anthony, Phys. Rev. Lett. 89, 227403 (2002)CrossRefGoogle Scholar
  189. 189.
    O. Ostroverkhova, D.G. Cooke, S. Shcherbyna, R.F. Egerton, F.A. Hegmann, R.R. Tykwinski, J.E. Anthony, Phys. Rev. B 71, 035204 (2005)CrossRefGoogle Scholar
  190. 190.
    O. Ostroverkhova, S. Shcherbyna, D.G. Cooke, R.F. Egerton, F.A. Hegmann, R.R. Tykwinski, S.R. Parkin, J.E. Anthony, J. Appl. Phys. 98, 033701 (2005)CrossRefGoogle Scholar
  191. 191.
    O. Ostroverkhova, D.G. Cooke, F.A. Hegmann, J.E. Anthony, V. Podzorov, M.E. Gershenson, O.D. Jurchescu, T.T.M. Palstra, Appl. Phys. Lett. 88, 162101 (2006)CrossRefGoogle Scholar
  192. 192.
    O. Ostroverkhova, D.G. Cooke, F.A. Hegmann, R.R. Tykwinski, S.R. Parkin, J.E. Anthony, Appl. Phys. Lett. 89, 192113 (2006)CrossRefGoogle Scholar
  193. 193.
    N. Laman, D. Grischkowsky, Appl. Phys. Lett. 93, 051105 (2008)CrossRefGoogle Scholar
  194. 194.
    M. Walther, D.G. Cooke, C. Sherstan, M. Hajar, M.R. Freeman, F.A. Hegmann, Phys. Rev. B 76, 125408 (2007)CrossRefGoogle Scholar
  195. 195.
    D.R. Lide, CRC Handbook of Chemistry and Physics, 73rd edn (1992)Google Scholar
  196. 196.
    A. Thoman, A. Kern, H. Helm, M. Walther, Phys. Rev. B 77, 195405 (2008)CrossRefGoogle Scholar
  197. 197.
    L.H. Palmer, M. Tinkham, Phys. Rev. 165, 588 (1968)CrossRefGoogle Scholar
  198. 198.
    G.J. Dick, F. Reif, Phys. Rev. 181, 774 (1969)CrossRefGoogle Scholar
  199. 199.
    M.C. Nuss, K.W. Goossen, J.P. Gordon, P.M. Mankiewich, M.L. O’Malley, M. Bhushan, J. Appl. Phys. 70, 2238 (1991)CrossRefGoogle Scholar
  200. 200.
    S. Spielman, B. Parks, J. Orenstein, D.T. Nemeth, F. Ludwig, J. Clarke, P. Merchant, D.J. Lew, Phys. Rev. Lett. 73, 1537 (1994)CrossRefGoogle Scholar
  201. 201.
    B. Parks, S. Spielman, J. Orenstein, D.T. Nemeth, F. Ludwig, J. Clarke, P. Merchant, D.J. Lew, Phys. Rev. Lett. 74, 3265 (1995)CrossRefGoogle Scholar
  202. 202.
    F. Gao, J.F. Whitaker, Y. Liu, C. Uher, C.E. Platt, M.V. Klein, Phys. Rev. B 52, 3607 (1995)CrossRefGoogle Scholar
  203. 203.
    M. Tinkham, Introduction to Superconductivity (McGraw-Hill, 1975)Google Scholar
  204. 204.
    T.R. Tsai, C.C. Chi, S.F. Horng, Physica C 391, 281 (2003)CrossRefGoogle Scholar
  205. 205.
    R.A. Kaindl, M.A. Carnahan, J. Orenstein, D.S. Chemla, H.M. Christen, H.Y. Zhai, M. Paranthaman, D.H. Lowndes, Phys. Rev. Lett. 88, 027003 (2002)CrossRefGoogle Scholar
  206. 206.
    R.V. Aguilar, L.S. Bilbro, S. Lee, C.W. Bark, J. Jiang, J.D. Weiss, E.E. Hellstrom, D.C. Larbalestier, C.B. Eom, N.P. Armitage, Phys. Rev. B 82, 180514 (2010)CrossRefGoogle Scholar
  207. 207.
    T. Fischer, A.V. Pronin, J. Wosnitza, K. Iida, F. Kurth, S. Haindl, L. Schultz, B. Holzapfel, E. Schachinger, Phys. Rev. B 82, 224507 (2010)CrossRefGoogle Scholar
  208. 208.
    J.F. Federici, B.I. Greene, P.N. Saeta, D.R. Dykaar, F. Sharifi, R.C. Dynes, Phys. Rev. B 46, 11153 (1992)CrossRefGoogle Scholar
  209. 209.
    R.A. Kaindl, M.A. Carnahan, D.S. Chemla, S. Oh, J.N. Eckstein, Phys. Rev. B 72, 060510 (2005)CrossRefGoogle Scholar
  210. 210.
    R.D. Averitt, A.I. Lobad, C. Kwon, S.A. Trugman, V.K. Thorsmølle, A.J. Taylor, Phys. Rev. Lett. 8701, 017401 (2001)CrossRefGoogle Scholar
  211. 211.
    K. Takahashi, N. Kida, M. Tonouchi, Appl. Phys. Lett. 83, 4303 (2003)CrossRefGoogle Scholar
  212. 212.
    A. Pimenov, M. Biberacher, D. Ivannikov, A. Loidl, A.A. Mukhin, Y.G. Goncharov, A.M. Balbashov, Phys. Rev. B 73, 220407 (2006)CrossRefGoogle Scholar
  213. 213.
    K. Hayashi, S. Matsuishi, T. Kamiya, M. Hirano, H. Hosono, Nature 419, 462 (2002)CrossRefGoogle Scholar
  214. 214.
    H. Harimochi, J. Kitagawa, M. Ishizaka, Y. Kadoya, M. Yamanishi, S. Matsuishi, H. Hosono, Phys. Rev. B 70, 193104 (2004)CrossRefGoogle Scholar
  215. 215.
    J. Kitagawa, M. Ishizaka, Y. Kadoya, S. Matsuishi, H. Hosono, J. Phys. Soc. Jpn. 75, 084715 (2006)CrossRefGoogle Scholar
  216. 216.
    A. Pimenov, S. Tachos, T. Rudolf, A. Loidl, D. Schrupp, M. Sing, R. Claessen, V.A.M. Brabers, Phys. Rev. B 72, 035131 (2005)CrossRefGoogle Scholar
  217. 217.
    J. Kitagawa, Y. Kadoya, M. Tsubota, F. Iga, T. Takabatake, J. Phys. Condens. Matter 19, 406224 (2007)CrossRefGoogle Scholar
  218. 218.
    P.U. Jepsen, B.M. Fischer, A. Thoman, H. Helm, J.Y. Suh, R. Lopez, J.R.F. Haglund, Phys. Rev. B 74, 205103 (2006)CrossRefGoogle Scholar
  219. 219.
    C. Kübler, H. Ehrke, R. Huber, R. Lopez, A. Halabica, J.R.F. Haglund, A. Leitenstorfer, Phys. Rev. Lett. 99, 116401 (2007)CrossRefGoogle Scholar
  220. 220.
    T.L. Cocker, L.V. Titova, S. Fourmaux, H.C. Bandulet, D. Brassard, J.C. Kieffer, F.A. Hegmann, Appl. Phys. Lett. 97, 221905 (2010)CrossRefGoogle Scholar
  221. 221.
    J. Lloyd-Hughes, D. Prabhakaran, A.T. Boothroyd, M.B. Johnston, Phys. Rev. B 77, 195114 (2008)CrossRefGoogle Scholar
  222. 222.
    G. Gruner, Rev. Mod. Phys. 60, 1129 (1988)CrossRefGoogle Scholar

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© Springer Science+Business Media, LLC 2012

Authors and Affiliations

  1. 1.Department of PhysicsUniversity of OxfordOxfordUK
  2. 2.Division of Electrical and Electronics EngineeringKorea Maritime UniversityBusanKorea

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