An Analytical Approach to Thermal and Electrical Transport in a Mesoscopic Conductor |
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Authors: | WANG;Zheng-Chuan;SU;Gang;LI;Ling;GAO;Jie |
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Institution: | 1. Department of Physics, Graduate School of the Chinese
Academy of Sciences, Beijing 100049, China
;2. Department of Physics, Sichuan University, Chengdu 610018, China |
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Abstract: | In order to consider the thermal and electrical coherent transport in a
mesoscopic conductor under the influence of electron-electron interaction, in this paper, we establish a method in terms of which one can analytically obtain the Hartree self-consistent potential instead of computing it by the numerical iterative procedure as usual, which is convenient for us to describe the thermal and electric current flow through a mesoscopic conductor. If we study the electron-electron interaction at the Hartree approximation level, the Hartree potential satisfies the Poisson equation and Schrödinger equation, so when we expand the action function S(x)
by Planck constant ħ, the self-consistent potential and the
wavefunction can be solved analytically order by order, and the thermal and
electrical conductance can thus be obtained readily. However, we just show
the quantum corrections up to the second order. |
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Keywords: | mesoscopic conductor thermal and electrical transport |
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