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  (Quasi-)quantization of the electrical, thermal, and thermoelectrical conductivities in two and three dimensions

Noky, J., Gooth, J., Sun, Y., & Felser, C. (2021). (Quasi-)quantization of the electrical, thermal, and thermoelectrical conductivities in two and three dimensions. Journal of physics communications, 5(4): 045007, pp. 1-14. doi:10.1088/2399-6528/abf5ae.

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 Creators:
Noky, Jonathan1, Author              
Gooth, Johannes2, Author              
Sun, Yan1, Author              
Felser, Claudia3, Author              
Affiliations:
1Inorganic Chemistry, Max Planck Institute for Chemical Physics of Solids, Max Planck Society, ou_1863425              
2Nanostructured Quantum Matter, Max Planck Institute for Chemical Physics of Solids, Max Planck Society, ou_3018212              
3Claudia Felser, Inorganic Chemistry, Max Planck Institute for Chemical Physics of Solids, Max Planck Society, ou_1863429              

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Free keywords: Free electron gas, Haldane model, Quantum anomalous Hall effect, Quantum anomalous Nernst effect, Quantum Hall effect, Three-dimensional quantum Hall effect
 Abstract: The quantum Hall effect in a 2D electron system expresses a topological invariant, leading to a quantized conductivity. The thermal Hall and thermoelectric Nernst conductances in two dimensions are also reported to be quantized in specific systems. However, a comprehensive study of these quantities within one formalism for quantum Hall systems is so far elusive. In this work, we investigate the Hall, thermal Hall, and Nernst effects analytically and numerically in 2D and 3D. In addition to the quantized values for the Hall and thermal Hall conductances in two dimensions, we also find quasi-quantized values in three dimensions, which are the related 2D quanta scaled by a characteristic length. The Nernst conductivity is not generally quantized. Instead, an integration in energy is required to obtain a universally (quasi-)quantized thermoelectric quantity. © 2021 The Author(s). Published by IOP Publishing Ltd.

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Language(s): eng - English
 Dates: 2021-04-142021-04-14
 Publication Status: Published in print
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Type: -
 Identifiers: DOI: 10.1088/2399-6528/abf5ae
 Degree: -

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Title: Journal of physics communications
Source Genre: Journal
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Publ. Info: Bristol, UK : IOP Publishing
Pages: - Volume / Issue: 5 (4) Sequence Number: 045007 Start / End Page: 1 - 14 Identifier: ISSN: 2399-6528
CoNE: https://pure.mpg.de/cone/journals/resource/2399-6528