Abstract
Due to the study of transport phenomena in metals, we can extract various important information with regard to the electronic states. In conventional metals, various transport phenomena are governed by a single parameter, namely, the quasiparticle relaxation time \(\tau \).
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
H.M. Ziman, Electrons and Phonons: The Theory of Transport Phenomena in Solids (Oxford Classic Texts in the Physical Sciences, Oxford, 1960)
J. Takeda, T. Nishikawa, M. Sato, Phys. C 231, 293 (1994)
T. Nishikawa, J. Takeda, M. Sato, J. Phys. Soc. Jpn. 63, 1441 (1994)
H.Y. Hwang, B. Batlogg, H. Takagi, H.L. Kao, J. Kwo, R.J. Cava, J.J. Krajewski, W.F. Peck Jr, Phys. Rev. Lett. 72, 2636 (1994)
P. Xiong, G. Xiao, X.D. Wu, Phys. Rev. B 47, 5516 (1993)
T.R. Chien, Z.Z. Wang, N.P. Ong, Phys. Rev. Lett. 67, 2088 (1991)
Y. Kubo, Y. Shimakawa, T. Manako, H. Igarashi, Phys. Rev. B 43, 7875 (1991)
P. Fournier, X. Jiang, W. jiang, S.N. Mao, T. Venkatesan, C.J. Lobb, R.L. Greene. Phys. Rev. B 56, 14149 (1997)
Y. Dagan, M.M. Qazilbash, C.P. Hill, V.N. Kulkarni, R.L. Greene, Phys. Rev. Lett. 92, 167001 (2004)
Y. Abe, K. Segawa, Y. Ando, Phys. Rev. B 60, R15055 (1999)
Y. Hanaki, Y. Ando, S. Ono, J. Takeya, Phys. Rev. B 64, 172514 (2001)
G. Xiao, P. Xiong, M.Z. Cieplak, Phys. Rev. B 46, 8687 (1992)
A. Malinowski, M.Z. Cieplak, S. Guha, Q. Wu, B. Kim, A. Krickser, A. Perali, K. Karpinska, M. Berkowski, C.H. Shang, P. Lindenfeld, Phys. Rev. B 66, 104512 (2002)
K. Katayama, T. Nagai, H. Taniguchi, K. Satoh, N. Tajima, R. Kato, J. Phys. Soc. Jpn. 76 (2007) Suppl. A, 194.
Yu. V. Sushko, N. Shirakawa, K. Murata, Y. Kubo, N.D. Kushch, E.B. Yagubskii, Synth. Met. 85, 1541 (1997)
H. Taniguchi, Unpublished.
K. Murata, M. Ishibashi, Y. Honda, N.A. Fortune, M. Tokumoto, N. Kinoshita, H. Anzai, Solid State Comm. 76, 377 (1990)
Y. Nakajima, K. Izawa, Y. Matsuda, S. Uji, T. Terashima, H. Shishido, R. Settai, Y. Onuki, H. Kontani, J. Phys. Soc. Jpn. 73, 5 (2004)
Y. Nakajima, H. Shishido, H. Nakai, T. Shibauchi, K. Behnia, K. Izawa, M. Hedo, Y. Uwatoko, T. Matsumoto, R. Settai, Y. Onuki, H. Kontani, Y. Matsuda, J. Phys. Soc. Jpn. 76, 027403 (2007)
T. Namiki, H. Sato, H. Sugawara, Y. Aoki, R. Settai, Y. Onuki, Preprint.
S. Paschen, T. Luhmann, S. Wirth, P. Gegenwart, O. Trovarelli, C. Geibel, F. Steglich, P. Coleman, Q. Si, Nature 432, 881 (2004)
P.W. Anderson, Phys. Rev. Lett. 67, 209 (1997)
P.W. Anderson, The Theory of Superconductivity in the High-Tc Cuprates (Princeton Series in Physics, New Jersey, 1991)
R. Hlubina, T.M. Rice, Phys. Rev. B 51, 9253–9260 (1995)
B.P. Stojkovic, D. Pines, Phys. Rev. B 55, 8576 (1997)
L.B. Ioffe, A.J. Millis, Phys. Rev. B 58, 11631 (1998)
Y. Yanase, K. Yamada, J. Phys. Soc. Jpn. 68, 548 (1999)
L. Landau, Sov. Phys. JETP 3, 920 (1957)
L. Landau, Sov. Phys. JETP 5, 101 (1957)
L. Landau, Sov. Phys. JETP 8, 70 (1959)
P. Noziéres, D. Pines, Theory of Quantum Liquids (Addison Wesley, New York, 1989)
P. Noziéres, Theory of Interaction Fermion Systems (Benjamin, New York, 1964)
A.A. Abricosov, L.P. Gor’kov, I.E. Dzyaloshinskii, Methods of Quantum Field Theory in Statistical Physics (Dover, New York, 1975)
H. Kontani, K. Yamada, J. Phy, Soc. Jpn. 74, 155 (2005)
H. Kontani, K. Kanki, K. Ueda, Phys. Rev. B 59, 14723 (1999)
K. Kanki, H. Kontani, J. Phys. Soc. Jpn. 68, 1614 (1999)
H. Kontani, Phys. Soc. Jpn. 70, 1873 (2001)
H. Kontani, Phys. Soc. Jpn. 70, 2840 (2001)
H. Kontani, Phys. Rev. Lett. 89, 237003 (2002)
H. Kontani, Phys. Rev. B 64, 054413 (2001)
H. Kontani, Phys. Rev. B 67, 014408 (2003)
G.M. Eliashberg, Sov. Phys. JETP 14, 886 (1962)
J.S. Langer, Phys. Rev. 120, 714 (1960)
K. Yamada, K. Yosida, Prog. Theor. Phys. 76, 621 (1986)
H. Kohno, K. Yamada, Prog. Theor. Phys. 80, 623 (1988)
H. Fukuyama, H. Ebisawa, Y. Wada, Prog. Theor. Phys. 42, 494 (1969)
S. Fujimoto, H. Kohno, K. Yamada, Phys. Soc. Jpn. 60, 2724 (1991)
H. Maebashi, H. Fukuyama, Phys. Soc. Jpn. 66, 3577 (1997)
H. Maebashi, H. Fukuyama, Phys. Soc. Jpn. 67, 242 (1998)
Y. Iye, in Physical Properties of High Temperature Superconductors, vol. 3, ed. by D.M. Ginsberg (World Scientific, Singapore, 1992).
K. Asayama, Y. Kitaoka, G.-q. Zheng, K. Ishida, Prog. NMR. Spectrosc. 28, 221 (1996)
K. Yamada, Electron Correlation in Metals (Cambridge University Press, Cambridge, 2004)
T. Moriya, Y. Takahashi, K. Ueda, J. Phys. Soc. Jpn 59, 2905 (1990)
K. Ueda, T. Moriya, Y. Takahashi, J. Phys. Chem. Solids 53, 1515 (1992)
T. Moriya, K. Ueda, Adv. Phys. 49, 555 (2000)
K. Miyake, O. Narikiyo, J. Phys. Soc. Jpn. 63, 3821 (1994)
P. Monthoux, D. Pines, Phys. Rev. B 47, 6069 (1993)
D.J. Scalapino, E. Loh Jr, J.E. Hirsch, Phys. Rev. B 34, 8190 (1986)
K. Miyake, S. Schmitt-Rink, C.M. Varma, Phys. Rev. B 34, 6554 (1986)
N.E. Bickers, S.R. White, Phys. Rev. B 43, 8044 (1991)
K. Kuroki, R. Arita, H. Aoki, Phys. Rev. B 60, 9850 (1999)
H. Yoshimura, D.S. Hirashima, J. Phys. Soc. Jpn. 73, 2057 (2004)
P. Coleman, C. Pépin, Q. Si, R. Ramazashvili, J. Phys. Condens. Matter. 13, R723 (2001)
S. Sachdev, Quantum Phase Transitions (Cambridge University Press, Cambridge UK, 1999)
A.V. Chubukov, D. Pines, J. Schmalian, The Physics of Superconductors, vol. 1, ed. by K.-H. Bennemann, J.B. Ketterson (Springer, Berlin, 2002).
A. Abanov, A.V. Chubukov, J. Schmalian, Adv. Phys. 52, 119 (2003) and references therein.
D. Manske, Theory of Unconventional Superconductors: Cooper-Pairing Mediated By Spin Excitations (Springer, Berlin, 2004)
M. Sigrist, T.M. Rice, J. Phys. Soc. Jpn. 61, 4283 (1992)
D.A. Wollmann, D.J. Van Harlingen, W.C. Lee, D.M. Ginsberg, A.J. Leggett, Phys. Rev. Lett. 71, 2134 (1993)
C.C. Tsuei, J.R. Kirtley, C.C. Chi, L.S. Yu-Jahnes, A. Gupta, T. Shaw, J.Z. Sun, M.B. Ketchen, Phys. Rev. Lett. 73, 593 (1994)
S. Kashiwaya, Y. Tanaka, Rep. Prog. Phys. 63, 1641 (2000)
T. Hotta, J. Phys. Soc. Jpn. 63, 4126 (1994)
N.P. Ong, Physical Properties of High Temperature Superconductors, vol. 2, ed. by D.M. Ginsberg (World Scientific, Singapore, 1992).
N.P. Armitage, D.H. Lu, C. Kim, A. Damascelli, K.M. Shen, F. Ronning, D.L. Feng, P. Bogdanov, Z.-X. Shen, Phys. Rev. Lett. 87, 147003 (2001)
N.P. Armitage, F. Ronning, D.H. Lu, C. Kim, A. Damascelli, K.M. Shen, D.L. Feng, H. Eisaki, Z.-X. Shen, P.K. Mang, N. Kaneko, M. Greven, Y. Onose, Y. Taguchi, Y. Tokura, Phys. Rev. Lett. 88, 257001 (2002)
J.M. Harris, Y.F. Yan, P. Mati, N.P. Ong, P.W. Anderson, T. Kimura, K. Kitazawa, Phys. Rev. Lett. 75, 1391 (1995)
S. Uchida, K. Kitazawa, M. Hiroi, M. Sera, N. Kobayashi, Phy. Rev. B 53, 8733 (1996)
A.W. Tyler, Y. Ando, F.F. Balakirev, A. Passner, G.S. Boebinger, A.J. Schofield, A.P. Mackenzie, O. Laborde, Phys. Rev. B 57, R728 (1998)
Z.A. Xu, Y. Zhang, N.P. Ong, cond-mat/9903123.
Y. Ando, T. Murayama, Phys. Rev. B 60, R6991 (1999)
Y. Abe, Y. Ando, J. Takeya, H. Tanabe, T. Watauchi, I. Tanaka, H. Kojima, Phys. Rev. B 59, 14753 (1999)
F.F. Balakirev, I.E. Trofimov, S. Guha, M.Z. Cieplak, P. Lindenfeld, Phys. Rev. B 57, R8083 (1998)
H. Yasuoka, T. Imai, T. Shimizu, Strong Correlation and Superconductivity (Springer-Verlag, Berlin, 1989), p. 254
W.W. Warren, R.E. Walstedt, G.F. Brennert, R.J. Cava, R. Tycko, R.F. Bell, G. Dabbagh, Phys. Rev. Lett. 62, 1193 (1989)
M. Takigawa, A.P. Reyes, P.C. Hammel, J.D. Thompson, R.H. Heffner, Z. Fisk, K.C. Ott, Phys. Rev. B 43, 247 (1991)
Y. Itoh, H. Yasuoka, Y. Fujiwara, Y. Ueda, T. Machi, I. Tomeno, K. Tai, N. Koshizuka, S. Tanaka, J. Phys. Soc. Jpn. 61, 1287 (1992)
M.H. Julien, P. Carretta, M. Horvatić, Phys. Rev. Lett. 76, 4238 (1996)
H. Ding, T. Yokoya, J.C. Campuzano, T. Takahashi, M. Randeria, M.R. Norman, T. Mochiku, K. Kadowaki, J. Giapintzakis, Nature 382, 51 (1996)
A.G. Loeser, Z.X. Shen, D.S. Dessau, D.S. Marshall, C.H. Park, P. Fournier, A. Kapitulnik, Science 273, 325 (1996)
M.R. Norman, H. Ding, M. Randeria, J.C. Campuzano, T. Yokoya, T. Takeuchi, T. Takahashi, T. Mochiku, K. Kadowaki, P. Guptasarma, D.G. Hinks, Nature 392, 157 (1998)
A. Damascelli, Z. Hussain, Z.-X. Shen, Rev. Mod. Phys. 75, 473 (2003)
Q. Chen, I. Kosztin, B. Jankó, K. Levin, Phys. Rev. Lett. 81, 4708 (1998)
Q. Chen, I. Kosztin, B. Janko, K. Levin, Phys. Rev. B 59, 7083 (1999)
J. Maly, B. Janko, K. Levin, Phys. Rev. B 59, 1354 (1999)
T. Dahm, D. Manske, L. Tewordt, Europhys. Lett. 55, 93 (2001)
Y. Yanase, K. Yamada, J. Phys. Soc. Jpn. 70, 1659 (2001)
A. Kobayashi, A. Tsuruta, T. Matsuura, Y. Kuroda, J. Phys. Soc. Jpn. 70, 1214 (2001)
T. Hanaguri, C. Lupien, Y. Kohsaka, D.-H. Lee, M. Azuma, M. Takano, H. Takagi, J.C. Davis, Nature 430, 1001 (2004)
T. Yoshida et al., J. Phys. Soc. Jpn. 81, 011006 (2012)
T. Yoshida, M. Hashimoto, I.M. Vishik, Z.-X. Shen, A. Fujimori, J. Phys. Soc. Jpn. 81, 011006 (2012)
T. Kondo et al., Nat. Phys. 7, 21 (2011)
K. Kanoda, Phys. C 282–287, 299 (1997)
H. Kino, H. Fukuyama, J. Phys. Soc. Jpn. 65, 2158 (1996)
H. Kino, H. Kontani, J. Phys. Soc. Jpn. 67, 3691 (1998)
H. Kondo, T. Moriya, J. Phys. Soc. Jpn. 67, 3695 (1998)
J. Schmalian, Phys. Rev. Lett. 81, 4232 (1998)
H. Kontani, H. Kino, Phys. Rev. B 63, 134524 (2001)
C. Petrovic, P.G. Pagliuso, M.F. Hundley, R. Movshovich, J.L. Sarrao, J.D. Thompson, Z. Fisk, P. Monthoux, J. Phys. Condens. Matter. 13, L337 (2001)
H. Hegger, C. Petrovic, E.G. Moshopoulou, M.F. Hundley, J.L. Sarrao, Z. Fisk, J.D. Thompson, Phys. Rev. Lett. 84, 4986 (2000)
C. Petrovic, R. Movshovich, M. Jaime, P.G. Pagliuso, M.F. Hundley, J.L. Sarrao, Z. Fisk, J.D. Thompson, Europhys. Lett. 53, 354 (2001)
G.-q. Zeng, K. Tanabe, T. Mito, S. Kawasaki, Y. Kitaoka, D. Aoki, Y. Haga, Y. Onuki, Phys. Rev. Lett. 86, 4664 (2001).
Y. Kawasaki, S. Kawasaki, M. Yashima, T. Mito, G.-q Zheng, Y. Kitaoka, H. Shishido, R. Settai, Y. Haga, Y. Onuki. J. Phys. Soc. Jpn. 72, 2308 (2003)
K. Izawa, H. Yamaguchi, Y. Matsuda, H. Shishido, R. Settai, Y. Onuki, Phys. Rev. Lett. 87, 057002 (2001)
Y. Matsuda, K. Izawa, I. Vekhter, J. Phys. Condens. Matter. 18, R705 (2006)
R. Movshovich, M. Jaime, J.D. Thompson, C. Petrovic, Z. Fisk, P.G. Pagliuso, J.L. Sarrao, Phys. Rev. Lett. 86, 5152 (2001)
H. Aoki, T. Sakakibara, H. Shishido, R. Settai, Y. Onuki, P. Miranovic, K. Machida, J. Phys. Condens. Matter. 16, L13 (2004)
H.A. Radovan, N.A. Fortune, T.P. Murphy, S.T. Hannahs, E.C. Palm, S.W. Tozer, D. Hall, Nature 425, 51 (2003)
A. Bianchi, R. Movshovich, C. Capan, P.G. Pagliuso, J.L. Sarrao, Phys. Rev. Lett. 91, 187004 (2003)
T. Watanabe, Y. Kasahara, K. Izawa, T. Sakakibara, Y. Matsuda, C.J. van der Beek, T. Hanaguri, H. Shishido, R. Settai, Y. Onuki, Phys. Rev. B 70, 020506 (2004)
K. Kakuyanagi, M. Saitoh, K. Kumagai, S. Takashima, M. Nohara, H. Takagi, Y. Matsuda, Phys. Rev. Lett. 94, 047602 (2005)
Y. Matsuda, H. Shimahara, J. Phys. Soc. Jpn. 76, 051005 (2007)
R. Bel, K. Behnia, Y. Nakajima, K. Izawa, Y. Matsuda, H. Shishido, R. Settai, Y. Onuki, Phys. Rev. Lett. 92, 217002 (2004)
K. Izawa, K. Behnia, Y. Matsuda, H. Shishido, R. Settai, Y. Onuki, J. Flouquet, Phys. Rev. Lett. 99, 147005 (2007)
S. Onari, H. Kontani, Y. Tanaka, Phys. Rev. B 73, 224434 (2006)
A. Georges, G. Kotliar, W. Krauth, M.J. Rozenberg, Rev. Mod. Phys. 68, 13 (1996)
G. Kotliar, D. Vollhardt, Phys. Today 57, 53 (2004)
J. Feldman, D. Lehmann, H. Knorrer, E. Trubowitz, Constructive Physics, ed. by V. Rivasseau (Springer, Berlin, 1995).
Y. Suzumura, Y. Hasegawa, H. Fukuyama, J. Phys. Soc. Jpn. 57, 2768 (1988)
G. Kotliar, Phys. Rev. B 37, 3664 (1988)
P.A. Lee, N. Nagaosa, X.-G. Wen, Rev. Mod. Phys. 78, 17 (2006)
T. Tohyama, Phys. Rev. B 70, 174517 (2004)
E. Dagotto, Rev. Mod. Phys. 66, 763 (1994)
T. Yanagisawa, S. Koike, K. Yamaji, Phys. Rev. B 64, 184509 (2001)
H. Yokoyama, M. Ogata, J. Phys. Soc. Jpn. 65, 3615 (1996)
H. Yokoyama, M. Ogata, Y. Tanaka, J. Phys. Soc. Jpn. 75, 114706 (2006)
F.F. Assaad, M. Imada, J. Phys. Soc. Jpn. 65, 189 (1996)
R. Preuss, W. Hanke, C. Grober, H.G. Evertz, Phys. Rev. Lett. 79, 1122–1125 (1997)
C.M. Varma, P.B. Littlewood, S. Schmitt-Rink, E. Abrahams, A.E. Ruckenstein, Phys. Rev. Lett. 63, 1996 (1989)
C.M. Varma, Phys. Rev. B 55, 14554 (1997)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2013 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Kontani, H. (2013). Introduction. In: Transport Phenomena in Strongly Correlated Fermi Liquids. Springer Tracts in Modern Physics, vol 251. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-35365-9_1
Download citation
DOI: https://doi.org/10.1007/978-3-642-35365-9_1
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-35364-2
Online ISBN: 978-3-642-35365-9
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)