Thermoelectric transport properties in disordered systems near the Anderson transition

Thermoelectric transport properties in disordered systems near the Anderson transition
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安德森转变附近无序系统的热电输运特性

DOI:
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发表时间:
1999
期刊:
影响因子:
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通讯作者:
M. Schreiber
M. Schreiber
中科院分区:
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文献类型:
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作者:
C. Villagonzalo;R. Römer;M. Schreiber

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摘要:我们研究了金属-绝缘体转变(MIT)附近局域化的三维Anderson模型的热电输运特性。特别地,我们研究了热电势S、热导率K和洛伦兹数L0对温度T的依赖关系。我们首先从麻省理工学院的电子数密度n出发,用对角化得到的平均态密度计算了化学势μ的T依赖关系。在没有任何附加近似的情况下,我们根据S、K和L0在低T时的行为来确定MIT接近时的行为。我们发现,在麻省理工学院的AS中,和K都降到了零,说明S没有发散。在麻省理工学院,S和L0都与温度无关,并且只依赖于电导率的临界行为。
Abstract:We study the thermoelectric transport properties in the three-dimensional Anderson model of localization near the metal-insulator transition (MIT). In particular, we investigate the dependence of the thermoelectric power S, the thermal conductivity K, and the Lorenz number L0 on temperature T. We first calculate the T dependence of the chemical potential μ from the number density n of electrons at the MIT using an averaged density of states obtained by diagonalization. Without any additional approximation, we determine from the behavior of S, K and L0 at low T as the MIT is approached. We find that and K decrease to zero at the MIT as and show that S does not diverge. Both S and L0 become temperature independent at the MIT and depend only on the critical behavior of the conductivity.