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Quantum Oscillation from In-Gap States and a Non-Hermitian Landau Level Problem

2018/02/28 by Huitao Shen, Liang Fu · 266 citations
Physics and Astronomy · #Band gap #Condensed matter physics #Effective mass (spring–mass system) #Electron #Fermi surface #Kondo effect #Kondo insulator #Landau quantization #Oscillation (cell signaling) #Physics #Quantum and electron transport phenomena #Quantum electrodynamics #Quantum mechanics #Quantum oscillations #Quantum, superfluid, helium dynamics #Quasiparticle #Scattering #Scattering rate #Superconductivity #Topological Materials and Phenomena #cond-mat.mes-hall #cond-mat.str-el

paper · pdf · doi:10.1103/physrevlett.121.026403

published in Physical Review Letters 121(2), 026403 (American Physical Society) · 5 pages, 3 figures + 11 pages of supplemental material. to appear on Physics Review Letters

arxiv created 2018/07/04 · openalex publication_date 2018/07/11 · arxiv updated 2018/07/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Motivated by recent experiments on Kondo insulators, we theoretically study quantum oscillations from disorder-induced in-gap states in small-gap insulators. By solving a non-Hermitian Landau level problem that incorporates the imaginary part of electron's self-energy, we show that the oscillation period is determined by the Fermi surface area in the absence of the hybridization gap, and we derive an analytical formula for the oscillation amplitude as a function of the indirect band gap, scattering rates, and temperature. Over a wide parameter range, we find that the effective mass is controlled by scattering rates, while the Dingle factor is controlled by the indirect band gap. We also show the important effect of scattering rates in reshaping the quasiparticle dispersion in connection with angle-resolved photoemission measurements on heavy fermion materials.

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