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Finite-temperature fractional quantum Hall effect

1994/09/18 by Lizeng Zhang · 2 citations
Engineering · Mathematics · Physics and Astronomy · #Advancements in Semiconductor Devices and Circuit Design #Composite fermion #Condensed matter physics #Electron #Excitation #Fractional quantum Hall effect #Mathematics #Physics #Physics of Superconductivity and Magnetism #Quantization (signal processing) #Quantum Hall effect #Quantum and electron transport phenomena #Quantum electrodynamics #Quantum mechanics #Quantum spin Hall effect #Quasiparticle #Scattering #cond-mat

paper · pdf · doi:10.1103/physrevb.51.4645

12 pages, Revtex (3 figures will be sent through airmail upon request)

arxiv created 1994/09/18 · openalex publication_date 1995/02/15 · arxiv updated 2016/08/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We investigate the fractional quantum Hall effect at finite temperature using a fermion Chern-Simons field-theoretical approach. In the absence of impurity scattering, the essential aspects of the fractional quantum Hall effect, such as the quantization of Hall conductance, as well as quasiparticle charge and statistics are not renormalized by thermal fluctuations. On the other hand, we find that the low-energy excitation spectrum at finite T may undergo some qualitative changes as the temperature is raised. Interesting new features include a splitting of the low-energy collective modes and a redshift of the magnetoroton minimum at finite T. Possible experimental consequences are discussed.

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