Thermal transport in a Luttinger liquid

被引:162
作者
Kane, CL [1 ]
Fisher, MPA [1 ]
机构
[1] UNIV CALIF SANTA BARBARA,INST THEORET PHYS,SANTA BARBARA,CA 93106
基金
美国国家科学基金会;
关键词
D O I
10.1103/PhysRevLett.76.3192
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We study thermal transport in a one-dimensional (1D) interacting electron gas, employing the Luttinger liquid model. Both thermal conductance and thermopower are analyzed for a pure 1D gas and with impurities. The universal ratio of electrical to thermal conductance in a Fermi liquid-the Wiedemann-Franz law-is modified, whereas the thermopower is still linear in temperature. For a single impurity the Lorentz number is given by L(T --> 0) = 3L(0)/(2g + g(2))-with L(0) the Fermi liquid value-and the conductance 1/2 < g < 1. For g < 1/2 the Lorentz number diverges as T --> 0. Possible relevance to thermal transport in conducting polymer systems is discussed.
引用
收藏
页码:3192 / 3195
页数:4
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