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Main Authors: Fu, Jianlong, Weng, Chun Yu, Po, Hoi Chun
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2501.16792
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author Fu, Jianlong
Weng, Chun Yu
Po, Hoi Chun
author_facet Fu, Jianlong
Weng, Chun Yu
Po, Hoi Chun
contents Landau levels in certain models are known to protrude into the zero-field energy gap. These are known as anomalous Landau levels (ALLs). We study whether ALLs can lead to Fermi-surface like quantum oscillation in the absence of a zero-field Fermi surface. Focusing on two-dimensional multi-band low-energy models of electrons with continuous rotation symmetry, we show that an effective-band description, akin to the semiclassical treatment of Landau level problems in metals, can be used to predict the Landau level spectrum, including possible ALLs. This description then describes ALL induced quantum oscillation for certain insulating models, which we demonstrate through numerical calculations.
format Preprint
id arxiv_https___arxiv_org_abs_2501_16792
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Anomalous Landau levels and quantum oscillation in rotation-invariant insulators
Fu, Jianlong
Weng, Chun Yu
Po, Hoi Chun
Strongly Correlated Electrons
Landau levels in certain models are known to protrude into the zero-field energy gap. These are known as anomalous Landau levels (ALLs). We study whether ALLs can lead to Fermi-surface like quantum oscillation in the absence of a zero-field Fermi surface. Focusing on two-dimensional multi-band low-energy models of electrons with continuous rotation symmetry, we show that an effective-band description, akin to the semiclassical treatment of Landau level problems in metals, can be used to predict the Landau level spectrum, including possible ALLs. This description then describes ALL induced quantum oscillation for certain insulating models, which we demonstrate through numerical calculations.
title Anomalous Landau levels and quantum oscillation in rotation-invariant insulators
topic Strongly Correlated Electrons
url https://arxiv.org/abs/2501.16792