Large Violation of the Wiedemann-Franz Law in Luttinger Liquids

被引：55

作者：

Garg, Arti ^{[1
]}

Rasch, David ^{[2
]}

Shimshoni, Efrat ^{[3
]}

Rosch, Achim ^{[2
,4
]}

机构：

[1] Technion Israel Inst Technol, Dept Phys, IL-32000 Haifa, Israel

[2] Univ Cologne, Inst Theoret Phys, D-50937 Cologne, Germany

[3] Bar Ilan Univ, Dept Phys, IL-52900 Ramat Gan, Israel

[4] Univ Calif Santa Barbara, Kavli Inst Theoret Phys, Santa Barbara, CA 93106 USA

来源：

PHYSICAL REVIEW LETTERS | 2009年 / 103卷 / 09期

关键词：

CONDUCTIVITY;

D O I：

10.1103/PhysRevLett.103.096402

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We show that in weakly disordered Luttinger liquids close to a commensurate filling the ratio of thermal conductivity kappa and electrical conductivity sigma can deviate strongly from the Wiedemann-Franz law valid for Fermi liquids scattering from impurities. In the regime where the umklapp scattering rate Gamma(U) is much larger than the impurity scattering rate Gamma(imp), the Lorenz number L=kappa/(sigma T) rapidly changes from very large values L similar to Gamma(U)/Gamma(imp)1 at the commensurate point to very small values L similar to Gamma(imp)/Gamma(U)< 1 for a slightly doped system. This surprising behavior is a consequence of approximate symmetries existing even in the presence of strong umklapp scattering.

引用

页数：4

共 21 条

[1] Scaling behavior of the longitudinal and transverse transport in quasi-one-dimensional organic conductors
Dressel, M
Petukhov, K
Salameh, B
Zornoza, R
Giamarchi, T
[J]. PHYSICAL REVIEW B, 2005, 71 (07):
[2] New directions for low-dimensional thermoelectric materials
Dresselhaus, Mildred S.
Chen, Gang
Tang, Ming Y.
Yang, Ronggui
Lee, Hohyun
Wang, Dezhi
Ren, Zhifeng
Fleurial, Jean-Pierre
Gogna, Pawan
[J]. ADVANCED MATERIALS, 2007, 19 (08) : 1043 - 1053
[3] Forster D., 1975, Hydrodynamic Fluctuations, Broken Symmetry, And Correlation Functions
[4] Franz R., 1853, ANN PHYS-NEW YORK, V165, P497
[5] Giamarchi T, 2003, QUANTUM PHYS ONE DIM
[6] LUTTINGER LIQUID THEORY OF ONE-DIMENSIONAL QUANTUM FLUIDS .1. PROPERTIES OF THE LUTTINGER MODEL AND THEIR EXTENSION TO THE GENERAL 1D INTERACTING SPINLESS FERMI GAS
HALDANE, FDM
[J]. JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1981, 14 (19): : 2585 - 2609
[7] Breakdown of Fermi-liquid theory in a copper-oxide superconductor
Hill, RW
Proust, C
Taillefer, L
Fournier, P
Greene, RL
[J]. NATURE, 2001, 414 (6865) : 711 - 715
[8] Violation of the Wiedemann-Franz law in a large-N solution of the t-J model -: art. no. 220503
Houghton, A
Lee, S
Marston, JB
[J]. PHYSICAL REVIEW B, 2002, 65 (22): : 1 - 4
[9] Transport in almost integrable models: Perturbed Heisenberg chains - art. no. 067202
Jung, P
Helmes, RW
Rosch, A
[J]. PHYSICAL REVIEW LETTERS, 2006, 96 (06)
[10] Lower bounds for the conductivities of correlated quantum systems
Jung, Peter
Rosch, Achim
[J]. PHYSICAL REVIEW B, 2007, 75 (24):

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