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Thermoelectric power in between two plateaus in quantum Hall effect

2003/05/16 by Keshav N. Shrivastava, Shrivastava, Keshav N.
Chemistry · Physics and Astronomy · #Advanced Physical and Chemical Molecular Interactions #Advanced Thermodynamics and Statistical Mechanics #FOS: Physical sciences #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Quantum and electron transport phenomena #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.mes-hall #cond-mat.stat-mech

paper · pdf · doi:10.48550/arxiv.cond-mat/0305379

6 pages TeX

arxiv created 2003/05/16 · openalex publication_date 2003/05/16 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We have considered the response at two energies corresponding to two plateaus in the quantum Hall effect. Since the thermoelectric power involves the derivative of conductivity with respect to energy, we introduce the concept of a line width and hence an activation energy. We then use the Hall conductivity to define the thermoelectric power at the centre of two plateaus, which is found to vary monotonically as T2 at low temperatures with fixed magnetic field. At elivated temperatures, the thermoelectric power varies as T(exp-Δ/kBT).

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