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Title: Zero-field magnetic response functions in Landau levels

Abstract

Here, we present a fresh perspective on the Landau level quantization rule; that is, by successively including zero-field magnetic response functions at zero temperature, such as zero-field magnetization and susceptibility, the Onsager’s rule can be corrected order by order. Such a perspective is further reinterpreted as a quantization of the semiclassical electron density in solids. Our theory not only reproduces Onsager’s rule at zeroth order and the Berry phase and magnetic moment correction at first order but also explains the nature of higher-order corrections in a universal way. In applications, those higher-order corrections are expected to curve the linear relation between the level index and the inverse of the magnetic field, as already observed in experiments. Our theory then provides a way to extract the correct value of Berry phase as well as the magnetic susceptibility at zero temperature from Landau level fan diagrams in experiments. Moreover, it can be used theoretically to calculate Landau levels up to second-order accuracy for realistic models.

Authors:
 [1];  [2]
  1. Univ. of Texas, Austin, TX (United States). Dept. of Physics
  2. Univ. of Texas, Austin, TX (United States). Dept. of Physics; Peking Univ., Beijing (China). International Center for Quantum Materials
Publication Date:
Research Org.:
Univ. of Texas, Austin, TX (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Materials Sciences & Engineering Division; National Science Foundation (NSF); National Basic Research Program of China (NBRPC); Welch Foundation
OSTI Identifier:
1366767
Alternate Identifier(s):
OSTI ID: 1418601
Grant/Contract Number:  
FG03-02ER45958; 2013CB921900; EFMA-1641101; F-1255
Resource Type:
Journal Article: Published Article
Journal Name:
Proceedings of the National Academy of Sciences of the United States of America
Additional Journal Information:
Journal Volume: 114; Journal Issue: 28; Journal ID: ISSN 0027-8424
Publisher:
National Academy of Sciences, Washington, DC (United States)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; Landau level; magnetic susceptibility; Berry phase; Hofstadter butterfly; topological insulator

Citation Formats

Gao, Yang, and Niu, Qian. Zero-field magnetic response functions in Landau levels. United States: N. p., 2017. Web. doi:10.1073/pnas.1702595114.
Gao, Yang, & Niu, Qian. Zero-field magnetic response functions in Landau levels. United States. doi:10.1073/pnas.1702595114.
Gao, Yang, and Niu, Qian. Tue . "Zero-field magnetic response functions in Landau levels". United States. doi:10.1073/pnas.1702595114.
@article{osti_1366767,
title = {Zero-field magnetic response functions in Landau levels},
author = {Gao, Yang and Niu, Qian},
abstractNote = {Here, we present a fresh perspective on the Landau level quantization rule; that is, by successively including zero-field magnetic response functions at zero temperature, such as zero-field magnetization and susceptibility, the Onsager’s rule can be corrected order by order. Such a perspective is further reinterpreted as a quantization of the semiclassical electron density in solids. Our theory not only reproduces Onsager’s rule at zeroth order and the Berry phase and magnetic moment correction at first order but also explains the nature of higher-order corrections in a universal way. In applications, those higher-order corrections are expected to curve the linear relation between the level index and the inverse of the magnetic field, as already observed in experiments. Our theory then provides a way to extract the correct value of Berry phase as well as the magnetic susceptibility at zero temperature from Landau level fan diagrams in experiments. Moreover, it can be used theoretically to calculate Landau levels up to second-order accuracy for realistic models.},
doi = {10.1073/pnas.1702595114},
journal = {Proceedings of the National Academy of Sciences of the United States of America},
number = 28,
volume = 114,
place = {United States},
year = {Tue Jun 27 00:00:00 EDT 2017},
month = {Tue Jun 27 00:00:00 EDT 2017}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record at 10.1073/pnas.1702595114

Citation Metrics:
Cited by: 4 works
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Works referenced in this record:

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Quantum Oscillations and Hall Anomaly of Surface States in the Topological Insulator Bi2Te3
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Manifestation of Berry's Phase in Metal Physics
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