Skip to main content
SpringerLink
Log in

From Thermal Rectifiers to Thermoelectric Devices

  • Chapter
  • First Online:
Thermal Transport in Low Dimensions

Part of the book series: Lecture Notes in Physics ((LNP,volume 921))

Abstract

We discuss thermal rectification and thermoelectric energy conversion from the perspective of nonequilibrium statistical mechanics and dynamical systems theory. After preliminary considerations on the dynamical foundations of the phenomenological Fourier law in classical and quantum mechanics, we illustrate ways to control the phononic heat flow and design thermal diodes. Finally, we consider the coupled transport of heat and charge and discuss several general mechanisms for optimizing the figure of merit of thermoelectric efficiency.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 64.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 84.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Aberg, S.: Phys. Rev. Lett. 64, 3119 (1990)

    Article  ADS  Google Scholar 

  2. Ajisaka, S., Barra, F., Mejía-Monasterio, C., Prosen, T.: Phys. Rev. B 86, 125111 (2012)

    Article  ADS  Google Scholar 

  3. Alder, J., Wainwright, T.E.: Phys. Rev. Lett. 18, 988 (1967)

    Article  ADS  Google Scholar 

  4. Andresen, B.: Angew. Chem. Int. Ed. 50, 2690 (2011)

    Article  Google Scholar 

  5. Apertet, Y., Ouerdane, H., Goupil, C., Lecoeur, Ph.: Phys. Rev. E 85, 031116 (2012)

    Article  ADS  Google Scholar 

  6. Arrachea, L., Moskalets, M., Martin-Moreno, L.: Phys. Rev. B 75, 245420 (2007)

    Article  ADS  Google Scholar 

  7. Arrachea, L., Lozano, G.S., Aligia, A.A.: Phys. Rev. B 80, 014425 (2009)

    Article  ADS  Google Scholar 

  8. Arrachea, L., Mucciolo, E.R., Chamon, C., Capaz, R.B.: Phys. Rev. B 86, 125424 (2012)

    Article  ADS  Google Scholar 

  9. Arsenault, L.-F., Shastry, B.S., Sémon, P., Tremblay, A.- M.S.: Phys. Rev. B 87, 035126 (2013)

    Google Scholar 

  10. Aschcroft, N.W., Mermin, N.D.: Solid State Physics. Saunders College, Philadelphia (1976)

    Google Scholar 

  11. Balachandran, V., Benenti, G., Casati, G.: Phys. Rev. B, 87, 165419 (2013)

    Article  ADS  Google Scholar 

  12. Balcerek, K., Tyc, T.: Phys. Status Solidi (a) 47, K125 (1978)

    Google Scholar 

  13. Bandyopadhyay, M., Segal, D.: Phys. Rev. E 84, 011151 (2011)

    Article  ADS  Google Scholar 

  14. Barthel, T., Schollwöck, U.: Phys. Rev. Lett. 100, 100601 (2008)

    Article  ADS  Google Scholar 

  15. Bedkihal, S., Bandyopadhyay, M., Segal, D.: Eur. Phys. J. B 86, 506 (2013)

    Article  ADS  Google Scholar 

  16. Bell, L.E.: Science 321, 1457 (2008)

    Article  ADS  Google Scholar 

  17. Benenti, G., Saito, K., Casati, G.: Phys. Rev. Lett. 106, 230602 (2011)

    Article  ADS  Google Scholar 

  18. Benenti, G., Casati, G., Wang, J.: Phys. Rev. Lett. 110, 070604 (2013)

    Article  ADS  Google Scholar 

  19. Benenti, G., Casati, G., Mejía-Monasterio, C.: New J. Phys. 16, 015014 (2014)

    Article  ADS  Google Scholar 

  20. Benenti, G., Casati, G., Prosen, T., Saito, K.: arXiv:1311.4430

    Google Scholar 

  21. Bohigas, O., Giannoni, M.-J., Schmit, C.: Phys. Rev. Lett. 52, 1 (1984)

    Article  MathSciNet  ADS  Google Scholar 

  22. Bolsterli, M., Rich, M., Visscher, W.M.: Phys. Rev. A 1, 1086 (1970)

    Article  ADS  Google Scholar 

  23. Bonetto, F., Lebowitz, J.L., Lukkarinen, J.: J. Stat. Phys. 116, 783 (2004)

    Article  MathSciNet  ADS  Google Scholar 

  24. Bonetto, F., Lebowitz, J.L., Lukkarinen, J., Olla, S.: J. Stat. Phys. 134, 1097 (2009)

    Article  MathSciNet  ADS  Google Scholar 

  25. Bosisio, R., Gorini, C., Fleury, G., Pichard, J.-L.: New J. Phys. 16, 095005 (2014)

    Article  ADS  Google Scholar 

  26. Boukai, A.I., et al.: Nature 451, 168 (2008)

    Article  ADS  Google Scholar 

  27. Brandner, K., Seifert, U.: New J. Phys. 15, 105003 (2013)

    Article  ADS  Google Scholar 

  28. Brandner, K., Seifert, U.: Phys. Rev. E 91, 012121 (2015)

    Article  ADS  Google Scholar 

  29. Brandner, K., Saito, K., Seifert, U.: Phys. Rev. Lett. 110, 070603 (2013)

    Article  ADS  Google Scholar 

  30. Breuer, H.-P., Petruccione, F.: The Theory of Open Quantum Systems. Oxford University Press, New York (2007)

    Book  MATH  Google Scholar 

  31. Büttiker, M.: IBM J. Res. Dev. 32, 63 (1988)

    Article  Google Scholar 

  32. Cahill, D.G., et al.: J. Appl. Phys. 93, 793 (2003)

    Article  ADS  Google Scholar 

  33. Callen, H.B.: Thermodynamics and an Introduction to Thermostatics, 2nd edn. Wiley, New York (1985)

    MATH  Google Scholar 

  34. Casati, G., Mejía-Monasterio, C.: AIP Conf. Proc. 1076, 18 (2008)

    Article  ADS  Google Scholar 

  35. Casati, G., Valz-Gris, F., Guarneri, I.: Lett. Nuovo Cimento 28, 279 (1980)

    Article  MathSciNet  Google Scholar 

  36. Casati, G., Ford, J., Vivaldi, F., Visscher, W.M.: Phys. Rev. Lett. 52, 1861 (1984)

    Article  ADS  Google Scholar 

  37. Casati, G., Mejía-Monasterio, C., Prosen, T.: Phys. Rev. Lett. 101, 016601 (2008)

    Article  ADS  Google Scholar 

  38. Casati, G., Wang, L., Prosen, T.: J. Stat. Mech. L03004 (2009)

    Google Scholar 

  39. Chambadal, P.: Les Centrales Nucléaires. Armand Colin, Paris (1957)

    Google Scholar 

  40. Chang, C.W., Okawa, D., Majumdar, A., Zettl, A.: Science 314, 1121 (2006)

    Article  ADS  Google Scholar 

  41. Chen, Z., et al.: Nat. Commun. 5, 5446 (2014)

    Article  ADS  Google Scholar 

  42. Chen, S., Wang, J., Casati, G., Benenti, G.: Phys. Rev. E 90, 032134 (2014)

    Article  ADS  Google Scholar 

  43. Chen, S., Pereira, E., Casati, G.: Europhys. Lett. 111, 30004 (2015)

    Article  ADS  Google Scholar 

  44. Chen, S., Wang, J., Casati, G., Benenti, G.: Phys. Rev. E 92, 032139 (2015)

    Article  ADS  Google Scholar 

  45. Curzon, F., Ahlborn, B.: Am. J. Phys. 43, 22 (1975)

    Article  ADS  Google Scholar 

  46. Daley, A., Kollath, C., Schollwöck, U.: J. Stat. Mech. P04005 (2004)

    Google Scholar 

  47. Das, S.G., Dhar, A., Narayan, O.: J. Stat. Phys. 154, 204 (2013)

    Article  MathSciNet  Google Scholar 

  48. Datta, S.: Electronic Transport in Mesoscopic Systems. Cambridge University Press, Cambridge (1995)

    Book  Google Scholar 

  49. Dauxois, T., Peyrard, M., Bishop, A.R.: Phys. Rev. E 47, 684 (1993)

    Article  ADS  Google Scholar 

  50. Debye, P.: Ann. Phys. 39, 789 (1912)

    Article  Google Scholar 

  51. de Groot, S.R., Mazur, P.: Nonequilibrium Thermodynamics. North-Holland, Amsterdam (1962)

    Google Scholar 

  52. Dhar, A.: Adv. Phys. 57, 457 (2008)

    Article  ADS  Google Scholar 

  53. Dresselhaus, M.S., et al.: Adv. Mater. 19, 1043 (2007)

    Article  Google Scholar 

  54. Dubi, Y., Di Ventra, M.: Phys. Rev. B 79, 115415 (2009)

    Article  ADS  Google Scholar 

  55. Dubi, Y., Di Ventra, M.: Rev. Mod. Phys. 83, 131 (2011)

    Article  ADS  Google Scholar 

  56. Entin-Wohlman, O., Aharony, A.: Phys. Rev. B 85, 085401 (2012)

    Article  ADS  Google Scholar 

  57. Entin-Wohlman, O., Imry, Y., Aharony, A.: Phys. Rev. B 82, 115314 (2010)

    Article  ADS  Google Scholar 

  58. Eom, J., Chien, C.-J., Chandrasekhar, V.: Phys. Rev. Lett. 81, 437 (1998)

    Article  ADS  Google Scholar 

  59. Esposito, M., Kawai, R., Lindenberg, K., Van den Broeck, C.: Phys. Rev. Lett. 105, 150603 (2010)

    Article  ADS  Google Scholar 

  60. Gallavotti, G., Cohen, E.G.D.: Phys. Rev. Lett. 74, 2694 (1995); J. Stat. Phys. 80, 931 (1995); Gallavotti, G.: J. Stat. Phys. 84, 8996 (1996); Phys. Rev. Lett. 77, 4334 (1996)

    Google Scholar 

  61. Garst, M., Rosch, A.: Europhys. Lett. 55, 66 (2001)

    Article  ADS  Google Scholar 

  62. Gaul, C., Büttner, H.: Phys. Rev. E 76, 011111 (2007)

    Article  ADS  Google Scholar 

  63. Gorini, V., Kossakowski, A., Sudarshan, E.C.G.: J. Math. Phys. 17, 821 (1976)

    Article  MathSciNet  ADS  Google Scholar 

  64. Guhr, T., Müller-Groeling, A., Weidenmüller, H.A.: Phys. Rep. 299, 189 (1998)

    Article  MathSciNet  ADS  Google Scholar 

  65. Heidrich-Meisner, F., Honecker, A., Brenig, W.: Phys. Rev. B 71, 184415 (2005)

    Article  ADS  Google Scholar 

  66. Hicks, L.D., Dresselhaus, M.S.: Phys. Rev. B 47, 12727 (1993); 16631(R) (1993)

    Google Scholar 

  67. Horvat, M., Prosen, T., Benenti, G., Casati, G.: Phys. Rev. E 86, 052102 (2012)

    Article  ADS  Google Scholar 

  68. Humphrey, T.E., Linke, H.: Phys. Rev. Lett. 94, 096601 (2005)

    Article  ADS  Google Scholar 

  69. Humphrey, T.E., Newbury, R., Taylor, R.P., Linke, H.: Phys. Rev. Lett. 89, 116801 (2002)

    Article  ADS  Google Scholar 

  70. Ilievski, E., Prosen, T.: Commun. Math. Phys. 318, 809 (2013)

    Article  MathSciNet  ADS  Google Scholar 

  71. Imry, Y.: Introduction to Mesoscopic Physics. Oxford University Press, New York (1997)

    Google Scholar 

  72. Ioffe, A.F.: Semiconductor Thermoelements, and Thermoelectric Cooling. Infosearch, London (1957)

    Google Scholar 

  73. Jacquet, P.A.: J. Stat. Phys. 134, 709 (2009)

    Article  MathSciNet  ADS  Google Scholar 

  74. Jacquod, Ph., Meair, J.: J. Phys. Condens. Matter 25, 082201 (2013)

    Article  ADS  Google Scholar 

  75. Jacquod, Ph., Whitney, R.S.: Europhys. Lett. 91, 67009 (2010)

    Article  ADS  Google Scholar 

  76. Jiang, J.H., Entin-Wohlman, O., Imry, Y.: Phys. Rev. B 85, 075412 (2012)

    Article  ADS  Google Scholar 

  77. Jiang, J.H., Entin-Wohlman, O., Imry, Y.: Phys. Rev. B 87, 205420 (2013)

    Article  ADS  Google Scholar 

  78. Kobayashi, W., Teraoka, Y., Terasaki, I.: Appl. Phys. Lett. 95, 171905 (2009)

    Article  ADS  Google Scholar 

  79. Kobayashi, W., et al.: Appl. Phys. Express 5, 027302 (2012)

    Article  ADS  Google Scholar 

  80. Koumoto, K., Mori, T. (eds.): Thermoelectric Nanomaterials: Materials Design and Applications. Springer Series in Material Science, vol. 182. Springer, Berlin (2013)

    Google Scholar 

  81. Kubo, R.: J. Phys. Soc. Jpn. 12, 570 (1957)

    Article  ADS  Google Scholar 

  82. Kubo, R., Toda, M., Hashitsume, N.: Statistical Physics II: Nonequilibrium Statistical Mechanics. Springer, Berlin (1985)

    Book  MATH  Google Scholar 

  83. Larralde, H., Leyvraz, F., Mejía-Monasterio, C.: J. Stat. Phys. 113, 197 (2003)

    Article  Google Scholar 

  84. Lepri, S., Livi, R., Politi, A.: Phys. Rep. 377, 1 (2003)

    Article  MathSciNet  ADS  Google Scholar 

  85. Li, B., Casati, G., Wang, J.: Phys. Rev. E 67, 021204 (2003)

    Article  ADS  Google Scholar 

  86. Li, N., et al.: Rev. Mod. Phys. 84, 1045 (2012)

    Article  ADS  Google Scholar 

  87. Lindblad, G.: Commun. Math. Phys. 48, 119 (1976)

    Article  MathSciNet  ADS  Google Scholar 

  88. Mahan, G.D.: Many-Particle Physics. Plenum Press, New York (1990)

    Book  Google Scholar 

  89. Mahan, G.D., Sofo, J.O.: Proc. Natl. Acad. Sci. USA 93, 7436 (1996)

    Article  ADS  Google Scholar 

  90. Mahan, G.D., Sales, B., Sharp, J.: Phys. Today 50, 42 (1997)

    Article  Google Scholar 

  91. Majumdar, A.: Science 303, 778 ( 2004)

    Article  Google Scholar 

  92. Malevanets, A., Kapral, R.: J. Chem. Phys. 110, 8605 (1999)

    Article  ADS  Google Scholar 

  93. Manzano, D., Tiersch, M., Asadian, A., Briegel, H.J.: Phys. Rev. E 86, 061118 (2012)

    Article  ADS  Google Scholar 

  94. Martínez-Pérez, M.J., Fornieri, A., Giazotto, F.: Nat. Nanotechnol. 10, 303 (2015)

    Article  ADS  Google Scholar 

  95. Marucha, Cz., Mucha, J., Rafalowicz, J.: Phys. Status Solidi (a) 31, 269 (1975)

    Google Scholar 

  96. Marucha, Cz., Mucha, J., Rafalowicz, J.: Phys. Status Solidi (a) 37, K5 (1976)

    Google Scholar 

  97. Matthews, J., et al.: Phys. Rev. B 90, 165428 (2014)

    Article  MathSciNet  ADS  Google Scholar 

  98. Mazur, P.: Physica 43, 533 (1969)

    Article  MathSciNet  ADS  Google Scholar 

  99. Mazza, F., et al.: New J. Phys. 16, 085001 (2014)

    Article  ADS  Google Scholar 

  100. Mazza, F., et al.: Phys. Rev. B 91, 245435 (2015)

    Article  ADS  Google Scholar 

  101. Mejía-Monasterio, C., Larralde, H., Leyvraz, F.: Phys. Rev. Lett. 86, 5417 (2001)

    Article  ADS  Google Scholar 

  102. Mejía-Monasterio, C., Prosen, T., Casati, G.: Europhys. Lett. 72, 520 (2005)

    Article  MathSciNet  ADS  Google Scholar 

  103. Mejía-Monasterio, C., Wichterich, H.: Eur. Phys. J. Spec. Top. 151, 113 (2007)

    Article  Google Scholar 

  104. Michel, M., Hartmann, M., Gemmer, J., Mahler, G.: Eur. Phys. J. B 34, 325 (2003)

    Article  ADS  Google Scholar 

  105. Michel, M., Mahler, G., Gemmer, J.: Phys. Rev. Lett. 95, 180602 (2005)

    Article  MathSciNet  ADS  Google Scholar 

  106. Michel, M., Gemmer, J., Mahler, G.: Int. J. Mod. Phys. B 20, 4855 (2006)

    Article  MathSciNet  ADS  Google Scholar 

  107. Michel, M., Hess, O., Wichterich, H., Gemmer, J.: Phys. Rev. B 77, 104303 (2008)

    Article  ADS  Google Scholar 

  108. Novikov, I.I.: J. Nucl. Energy 7, 125 (1958)

    Google Scholar 

  109. O’Dwyer, M.F., Lewis, R.A., Zhang, C., Humphrey, T.E.: Phys. Rev. B 72, 205330 (2005)

    Article  ADS  Google Scholar 

  110. Ouerdane, H., et al.: Phys. Rev. B 91, 100501(R) (2015)

    Google Scholar 

  111. Peierls, R.: Ann. Phys. 3, 1055 (1929)

    Article  Google Scholar 

  112. Pereira, E.: Phys. Lett. A 374, 1933 (2010)

    Article  ADS  Google Scholar 

  113. Peterson, M.R., Mukerjee, S., Shastry, B.S., Haerter, J.O.: Phys. Rev. B 76, 125110 (2007)

    Article  ADS  Google Scholar 

  114. Peyrard, M.: Europhys. Lett. 76, 49 (2006)

    Article  ADS  Google Scholar 

  115. Prosen, T., Žnidarič, M.: J. Stat. Mech. Theory Exp. 02, P02035 (2009)

    Google Scholar 

  116. Prosen, T., Žnidarič, M.: New J. Phys. 12, 025016 (2010)

    Article  MathSciNet  ADS  Google Scholar 

  117. Redfield, A.G.: IBM J. Res. Dev. 1, 19 (1957)

    Article  Google Scholar 

  118. Roy, D., Dhar, A.: Phys. Rev. B 75, 195110 (2007)

    Article  ADS  Google Scholar 

  119. Saito, K.: Europhys. Lett. 61, 34 (2003)

    Article  ADS  Google Scholar 

  120. Saito, K.: J. Phys. Soc. Jpn. 75, 034603 (2006)

    Article  ADS  Google Scholar 

  121. Saito, K., Takesue, S., Miyashita, S.: Phys. Rev. E 61, 2397 (2000)

    Article  ADS  Google Scholar 

  122. Saito, K., Benenti, G., Casati, G.: Chem. Phys. 375, 508 (2010)

    Article  ADS  Google Scholar 

  123. Saito, K., Benenti, G., Casati, G., Prosen, T.: Phys. Rev. B 84, 201306(R) (2011)

    Google Scholar 

  124. Sánchez, R., Büttiker, M.: Phys. Rev. B 83, 085428 (2011)

    Article  ADS  Google Scholar 

  125. Sánchez, D., López, R.: Phys. Rev. Lett. 110, 026804 (2013)

    Article  ADS  Google Scholar 

  126. Sánchez, D., Serra, L.: Phys. Rev. B 84, 201307(R) (2011)

    Google Scholar 

  127. Savin, A.V., Kosevich, Y.A.: Phys. Rev. E 89, 032102 (2014)

    Article  ADS  Google Scholar 

  128. Sawaki, D., Kobayashi, W., Morimoto, Y., Terasaki, I.: Appl. Phys. Lett. 98, 081915 (2011)

    Article  ADS  Google Scholar 

  129. Schmiedl, T., Seifert, U.: Europhys. Lett. 81, 20003 (2008)

    Article  MathSciNet  ADS  Google Scholar 

  130. Schollwöck, U.: Ann. Phys. 326, 96 (2011)

    Article  ADS  Google Scholar 

  131. Segal, D., Nitzan, A.: Phys. Rev. Lett. 94, 034301 (2005)

    Article  ADS  Google Scholar 

  132. Shakouri, A.: Annu. Rev. Mater. Res. 41, 399 (2011)

    Article  ADS  Google Scholar 

  133. Shastry, B.S.: Rep. Prog. Phys. 72, 016501 (2009)

    Article  ADS  Google Scholar 

  134. Snyder, G.J., Toberer, E.S.: Nat. Mater. 7, 105 (2008)

    Article  ADS  Google Scholar 

  135. Sothmann, B., Büttiker, M.: Europhys. Lett. 99, 27001 (2012)

    Article  ADS  Google Scholar 

  136. Sothmann, B., Sánchez, R., Jordan, A.N., Büttiker, M.: Phys. Rev. B 85, 205301 (2012)

    Article  ADS  Google Scholar 

  137. Steinigeweg, R., Gemmer, J., Michel, M.: Europhys. Lett. 75, 406 (2006)

    Article  MathSciNet  ADS  Google Scholar 

  138. Sun, K.-W., Wang, C., Chen, Q.-H.: Europhys. Lett. 92, 24002 (2010)

    Article  ADS  Google Scholar 

  139. Suzuki, M.: Physica 51, 277 (1971)

    Article  MathSciNet  ADS  Google Scholar 

  140. Terasaki, I., Sasago, Y., Uchinokura, K.: Phys. Rev. B 56, R12685 (1997)

    Article  ADS  Google Scholar 

  141. Terraneo, M., Peyrard, M., Casati, G.: Phys. Rev. Lett. 88, 094302 (2002)

    Article  ADS  Google Scholar 

  142. Tian, H., et al.: Sci. Rep. 2, 523 (2012)

    ADS  Google Scholar 

  143. Van den Broeck, C.: Phys. Rev. Lett. 95, 190602 (2005)

    Article  Google Scholar 

  144. Vashaee, D., Shakouri, A.: Phys. Rev. Lett. 92, 106103 (2004)

    Article  ADS  Google Scholar 

  145. Vining, C.B.: Mater. Res. Soc. Symp. 478, 3 (1997)

    Article  Google Scholar 

  146. Wang, Y., Rogado, N.S., Cava, R.J., Ong, N.P.: Nature 423, 425 (2003)

    Article  ADS  Google Scholar 

  147. Wang, J., Pereira, E., Casati, G.: Phys. Rev. E 86, 010101(R) (2012)

    Google Scholar 

  148. Wang, L., Hu, B., Li, B.: Phys. Rev. E 88, 052112 (2013)

    Article  ADS  Google Scholar 

  149. White, S., Feiguin, A.E.: Phys. Rev. Lett. 93, 076401 (2004)

    Article  ADS  Google Scholar 

  150. Whitney, R.S.: Phys. Rev. B 87, 115404 (2013)

    Article  ADS  Google Scholar 

  151. Wichterich, H., et al.: Phys. Rev. E 76, 031115 (2007)

    Article  MathSciNet  ADS  Google Scholar 

  152. Wolfe, R., Smith, G.E., Haszko, S.E.: Appl. Phys. Lett. 2, 157 (1963)

    Article  ADS  Google Scholar 

  153. Wu, L.-A., Segal, D.: Phys. Rev. E 77, 060101(R) (2008)

    Google Scholar 

  154. Yang, N., Li, N., Wang, L., Li, B.: Phys. Rev. B 76, 020301(R) (2007)

    Google Scholar 

  155. Yvon, J.: In: Proceedings of the International Conference on Peaceful Uses of Atomic Energy, p. 387. United Nations, Geneva (1955)

    Google Scholar 

  156. Zemljič, M.M., Prelovšek, P.: Phys. Rev. B 71, 085110 (2007)

    Article  ADS  Google Scholar 

  157. Zhong, Y., Zhang, Y., Wang, J., Zhao, H.: Phys. Rev. E 85, 060102(R) (2012)

    Google Scholar 

  158. Zotos, X., Prelovšek, P.: In: Baeriswyl, D., Degiorgi, L. (eds.) Strong Interactions in Low Dimensions. Kluwer Academic, Dordrecht (2004)

    Google Scholar 

  159. Zotos, X., Naef, F., Prelovšek, P.: Phys. Rev. B 55, 11029 (1997)

    Article  ADS  Google Scholar 

  160. Žunkovič, B., Prosen, T.: AIP Conf. Proc. 1468, 350 (2012)

    Article  ADS  Google Scholar 

Download references

Acknowledgements

G.B. and G.C. acknowledge the support by MIUR-PRIN. C.M.-M. acknowledges the support by the Spanish MICINN grant MTM2012-39101-C02-01 andMTM2015-63914-P.

Author information

Authors and Affiliations

  1. Dipartimento di Scienza e Alta Tecnologia, Center for Nonlinear and Complex Systems, Università degli Studi dell’Insubria, via Valleggio 11, 22100, Como, Italy

    Giuliano Benenti & Giulio Casati

  2. Istituto Nazionale di Fisica Nucleare, Sezione di Milano, via Celoria 16, 20133, Milano, Italy

    Giuliano Benenti

  3. International Institute of Physics, Federal University of Rio Grande do Norte, Natal, Brazil

    Giulio Casati

  4. Laboratory of Physical Properties, School of Agricultural, Food and Biosystems Engineering, Technical University of Madrid, Av. Complutense s/n, 28040, Madrid, Spain

    Carlos Mejía-Monasterio

  5. Laboratoire de Physique CNRS UMR 5672, Ecole Normale Supérieure de Lyon, 46 allée d’Italie, 69364, Lyon Cedex 7, France

    Michel Peyrard

Authors
  1. Giuliano Benenti
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Giulio Casati
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Carlos Mejía-Monasterio
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Michel Peyrard
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Giuliano Benenti .

Editor information

Editors and Affiliations

  1. Istituto Sistemi Complessi, Consiglio Nazionale delle Ricerche, Sesto Fiorentino (FI), Italy

    Stefano Lepri

Rights and permissions

Reprints and permissions

Copyright information

© 2016 Springer International Publishing Switzerland

About this chapter

Cite this chapter

Benenti, G., Casati, G., Mejía-Monasterio, C., Peyrard, M. (2016). From Thermal Rectifiers to Thermoelectric Devices. In: Lepri, S. (eds) Thermal Transport in Low Dimensions. Lecture Notes in Physics, vol 921. Springer, Cham. https://doi.org/10.1007/978-3-319-29261-8_10

Download citation

Publish with us

Policies and ethics

Search

Navigation