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Title: Violation of Ohm’s law in a Weyl metal [A hallmark of the Weyl metal state: Breakdown of Ohm's law]

Abstract

Ohm’s law is a fundamental paradigm in the electrical transport of metals. Any transport signatures violating Ohm’s law would give an indisputable fingerprint for a novel metallic state. Here, we uncover the breakdown of Ohm’s law owing to a topological structure of the chiral anomaly in the Weyl metal phase. We observe nonlinear I–V characteristics in Bi0.96Sb0.04 single crystals in the diffusive limit, which occurs only for a magnetic-field-aligned electric field (E∥B). The Boltzmann transport theory with the charge pumping effect reveals the topological-in-origin nonlinear conductivity, and it leads to a universal scaling function of the longitudinal magnetoconductivity, which completely describes our experimental results. Furthermore, as a hallmark of Weyl metals, the nonlinear conductivity provides a venue for nonlinear electronics, optical applications, and the development of a topological Fermi-liquid theory beyond the Landau Fermi-liquid theory.

Authors:
 [1];  [2];  [3];  [2]; ORCiD logo [4]; ORCiD logo [5];  [6];  [2]; ORCiD logo [1]
  1. Pohang Univ. of Science and Technology (POSTECH), Pohang (Republic of Korea); Institute for Basic Science (IBS), Pohang (Republic of Korea)
  2. Pohang Univ. of Science and Technology (POSTECH), Pohang (Republic of Korea)
  3. Yamagata Univ., Yamagata (Japan)
  4. Florida State Univ., Tallahassee, FL (United States); Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
  5. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
  6. Daegu Univ., Gyeonbuk (Korea)
Publication Date:
Research Org.:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
National Science Foundation (NSF); USDOE
OSTI Identifier:
1398920
Report Number(s):
LA-UR-17-22745
Journal ID: ISSN 1476-1122
Grant/Contract Number:  
AC52-06NA25396; IBS-R014-D1; DMR-1157490
Resource Type:
Accepted Manuscript
Journal Name:
Nature Materials
Additional Journal Information:
Journal Volume: 16; Journal ID: ISSN 1476-1122
Publisher:
Nature Publishing Group
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE

Citation Formats

Shin, Dongwoo, Lee, Yongwoo, Sasaki, M., Jeong, Yoon Hee, Weickert, Franziska, Betts, Jonathan Bobby, Kim, Heon -Jung, Kim, Ki -Seok, and Kim, Jeehoon. Violation of Ohm’s law in a Weyl metal [A hallmark of the Weyl metal state: Breakdown of Ohm's law]. United States: N. p., 2017. Web. doi:10.1038/nmat4965.
Shin, Dongwoo, Lee, Yongwoo, Sasaki, M., Jeong, Yoon Hee, Weickert, Franziska, Betts, Jonathan Bobby, Kim, Heon -Jung, Kim, Ki -Seok, & Kim, Jeehoon. Violation of Ohm’s law in a Weyl metal [A hallmark of the Weyl metal state: Breakdown of Ohm's law]. United States. https://doi.org/10.1038/nmat4965
Shin, Dongwoo, Lee, Yongwoo, Sasaki, M., Jeong, Yoon Hee, Weickert, Franziska, Betts, Jonathan Bobby, Kim, Heon -Jung, Kim, Ki -Seok, and Kim, Jeehoon. Mon . "Violation of Ohm’s law in a Weyl metal [A hallmark of the Weyl metal state: Breakdown of Ohm's law]". United States. https://doi.org/10.1038/nmat4965. https://www.osti.gov/servlets/purl/1398920.
@article{osti_1398920,
title = {Violation of Ohm’s law in a Weyl metal [A hallmark of the Weyl metal state: Breakdown of Ohm's law]},
author = {Shin, Dongwoo and Lee, Yongwoo and Sasaki, M. and Jeong, Yoon Hee and Weickert, Franziska and Betts, Jonathan Bobby and Kim, Heon -Jung and Kim, Ki -Seok and Kim, Jeehoon},
abstractNote = {Ohm’s law is a fundamental paradigm in the electrical transport of metals. Any transport signatures violating Ohm’s law would give an indisputable fingerprint for a novel metallic state. Here, we uncover the breakdown of Ohm’s law owing to a topological structure of the chiral anomaly in the Weyl metal phase. We observe nonlinear I–V characteristics in Bi0.96Sb0.04 single crystals in the diffusive limit, which occurs only for a magnetic-field-aligned electric field (E∥B). The Boltzmann transport theory with the charge pumping effect reveals the topological-in-origin nonlinear conductivity, and it leads to a universal scaling function of the longitudinal magnetoconductivity, which completely describes our experimental results. Furthermore, as a hallmark of Weyl metals, the nonlinear conductivity provides a venue for nonlinear electronics, optical applications, and the development of a topological Fermi-liquid theory beyond the Landau Fermi-liquid theory.},
doi = {10.1038/nmat4965},
journal = {Nature Materials},
number = ,
volume = 16,
place = {United States},
year = {Mon Aug 14 00:00:00 EDT 2017},
month = {Mon Aug 14 00:00:00 EDT 2017}
}

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  • Journal of Adhesion Science and Technology, Vol. 33, Issue 13
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  • Sultana, Rabia; Gurjar, Ganesh; Gahtori, Bhasker
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