Electrically Controllable Flat Band in Two-Dimensional Electron Gases under Nonuniform Magnetic Fields

Fuente: arXiv
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Autori principali: Huang, You-Ting, Kaun, Chao-Cheng, Chang, Ching-Hao
Natura: Preprint
Pubblicazione: 2026
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author Huang, You-Ting
Kaun, Chao-Cheng
Chang, Ching-Hao
author_facet Huang, You-Ting
Kaun, Chao-Cheng
Chang, Ching-Hao
contents Flat bands underlie a diverse range of quantum phenomena, from strongly correlated phases to superconductivity. We theoretically establish that a two-dimensional electron gas under a linear magnetic-field gradient and a transverse electric field exhibits electrically tunable flat bands. At specific field values, these bands become strictly dispersionless. By providing exact classical and quantum solutions, we demonstrate that these states are high-order Landau levels associated with drift-compensated cyclotron orbits of carriers arising from the synergy between the magnetic-field gradient and the electric field. These electrically controllable Landau levels exhibit quantized Hall conductance and a strongly enhanced density of states. Our results provide a new route for flat-band creation, magnetoelectric band engineering, and quantized Hall currents controlled via source-drain voltage.
format Preprint
id arxiv_https___arxiv_org_abs_2601_05064
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Electrically Controllable Flat Band in Two-Dimensional Electron Gases under Nonuniform Magnetic Fields
Huang, You-Ting
Kaun, Chao-Cheng
Chang, Ching-Hao
Materials Science
Flat bands underlie a diverse range of quantum phenomena, from strongly correlated phases to superconductivity. We theoretically establish that a two-dimensional electron gas under a linear magnetic-field gradient and a transverse electric field exhibits electrically tunable flat bands. At specific field values, these bands become strictly dispersionless. By providing exact classical and quantum solutions, we demonstrate that these states are high-order Landau levels associated with drift-compensated cyclotron orbits of carriers arising from the synergy between the magnetic-field gradient and the electric field. These electrically controllable Landau levels exhibit quantized Hall conductance and a strongly enhanced density of states. Our results provide a new route for flat-band creation, magnetoelectric band engineering, and quantized Hall currents controlled via source-drain voltage.
title Electrically Controllable Flat Band in Two-Dimensional Electron Gases under Nonuniform Magnetic Fields
topic Materials Science
url https://arxiv.org/abs/2601.05064