Scaling theory of charge transport and thermoelectric response in disordered 2D electron systems: From weak to strong localization

2024/11/02 by Yamamoto, Takahiro, Kaya, Hiroki, Matsubara, Manaho +1
#FOS: Physical sciences #Materials Science (cond-mat.mtrl-sci) #Mesoscale and Nanoscale Physics (cond-mat.mes-hall)

paper · doi:10.48550/arxiv.2411.01127

Abstract

We develop a new theoretical scheme for charge transport and thermoelectric response in two-dimensional disordered systems exhibiting crossover from weak localization (WL) to strong localization (SL). The scheme is based on the scaling theory for Anderson localization combined with the Kubo-Luttinger theory. Key aspects of the scheme include introducing a unified β function that seamlessly connects the WL and SL regimes, as well as describing the temperature (T) dependence of the conductance from high to low T regions on the basis of the dephasing length. We found that the Seebeck coefficient, S, behaves as S∝ T in the WL limit and as S∝ T^1-p (p < 1) in the SL limit, both with possible logarithmic corrections. The scheme is applied to analyze experimental data for thin films of the p-type organic semiconductor poly[2,5-bis(3-alkylthiophen-2-yl)thieno(3,2-b)thiophene] (PBTTT).

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