Magnetoconductivity in Weyl semimetals: Effect of chemical potential and temperature

Xiao, Xiao; Law, K. T.; Lee, P. A.

doi:10.1103/physrevb.96.165101

Title: Magnetoconductivity in Weyl semimetals: Effect of chemical potential and temperature

Abstract

This work presents detailed analyses of magnetoconductivities in a Weyl semimetal within the Born and self-consistent Born approximations. In the presence of charged impurities, linear magnetoresistance can occur when the charge carriers are mainly from the zeroth (n = 0) Landau level. Interestingly, the linear magnetoresistance is very robust against changes of temperature as long as the charge carriers come mainly from the zeroth Landau level. We denote this parameter regime as the high-field regime. In contrast, the linear magnetoresistance disappears once the charge carriers from the higher Landau levels can provide notable contributions. Our analysis indicates that the deviation from linear magnetoresistance is mainly due to the deviation of the longitudinal conductivity from 1/B behavior. We discovered two important features of the self-energy approximation: (i) A dramatic jump of σ_xx , when the n = 1 Landau level begins to contribute charge carriers, which is the beginning point of the middle-field regime, when decreasing the external magnetic field from high field; (ii) in the low-field regime, σ_xx exhibits B ^-5/3 behavior, causing the magnetoresistance ρ_xx to exhibit B^1/3 behavior. A detailed and careful numerical calculation indicates that the self-energy approximation (including both the Born and the self-consistent Born approximations)more »« less

Authors:

Xiao, Xiao ^[1]; Law, K. T. ^[1]; Lee, P. A. ^[2]

Hong Kong Univ. of Science and Technology, Hong Kong (China)
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

Publication Date:: Mon Oct 02 00:00:00 EDT 2017

Research Org.:: Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

OSTI Identifier:: 1511839

Alternate Identifier(s):: OSTI ID: 1395920

Grant/Contract Number:: FG02-03ER46076; FG01-03-ER46076

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review B

Additional Journal Information:: Journal Volume: 96; Journal Issue: 16; Journal ID: ISSN 2469-9950

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY

Citation Formats


                    Xiao, Xiao, Law, K. T., and Lee, P. A. Magnetoconductivity in Weyl semimetals: Effect of chemical potential and temperature.  United States: N. p., 2017. 
Web.  doi:10.1103/physrevb.96.165101.

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                    Xiao, Xiao, Law, K. T., & Lee, P. A. Magnetoconductivity in Weyl semimetals: Effect of chemical potential and temperature.  United States.  https://doi.org/10.1103/physrevb.96.165101

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                    Xiao, Xiao, Law, K. T., and Lee, P. A. Mon .  
"Magnetoconductivity in Weyl semimetals: Effect of chemical potential and temperature".  United States.  https://doi.org/10.1103/physrevb.96.165101.  https://www.osti.gov/servlets/purl/1511839.

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@article{osti_1511839,

  title        = {Magnetoconductivity in Weyl semimetals: Effect of chemical potential and temperature},

  author       = {Xiao, Xiao and Law, K. T. and Lee, P. A.},

  abstractNote = {This work presents detailed analyses of magnetoconductivities in a Weyl semimetal within the Born and self-consistent Born approximations. In the presence of charged impurities, linear magnetoresistance can occur when the charge carriers are mainly from the zeroth (n = 0) Landau level. Interestingly, the linear magnetoresistance is very robust against changes of temperature as long as the charge carriers come mainly from the zeroth Landau level. We denote this parameter regime as the high-field regime. In contrast, the linear magnetoresistance disappears once the charge carriers from the higher Landau levels can provide notable contributions. Our analysis indicates that the deviation from linear magnetoresistance is mainly due to the deviation of the longitudinal conductivity from 1/B behavior. We discovered two important features of the self-energy approximation: (i) A dramatic jump of σxx , when the n = 1 Landau level begins to contribute charge carriers, which is the beginning point of the middle-field regime, when decreasing the external magnetic field from high field; (ii) in the low-field regime, σxx exhibits B -5/3 behavior, causing the magnetoresistance ρxx to exhibit B1/3 behavior. A detailed and careful numerical calculation indicates that the self-energy approximation (including both the Born and the self-consistent Born approximations) does not explain the recent experimental observation of linear magnetoresistance in Weyl semimetals.},

  doi          = {10.1103/physrevb.96.165101},

  journal      = {Physical Review B},

  number       = 16,

  volume       = 96,

  place        = {United States},

  year         = {Mon Oct 02 00:00:00 EDT 2017},

  month        = {Mon Oct 02 00:00:00 EDT 2017}

}

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https://doi.org/10.1103/physrevb.96.165101

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Cited by: 17 works

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Figures / Tables:

FIG. 1: (a) the diagrammatic expression of self-energy approximation due to the charge impurities; (b) the diagrammatic expression of the magneto-conductivity $σ_{ij}$. In the ﬁgure, the solid line denotes the Green’s function, the dashed line denotes the impurity scattering, and the dot denotes the velocity vertex.

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Works referenced in this record:

Experimental observation of the quantum Hall effect and Berry's phase in graphene
journal, November 2005

Zhang, Yuanbo; Tan, Yan-Wen; Stormer, Horst L.
Nature, Vol. 438, Issue 7065, p. 201-204
DOI: 10.1038/nature04235

Electronic properties of graphene in a strong magnetic field
journal, November 2011

Goerbig, M. O.
Reviews of Modern Physics, Vol. 83, Issue 4
DOI: 10.1103/RevModPhys.83.1193

Observation of the Chiral-Anomaly-Induced Negative Magnetoresistance in 3D Weyl Semimetal TaAs
journal, August 2015

Huang, Xiaochun; Zhao, Lingxiao; Long, Yujia
Physical Review X, Vol. 5, Issue 3
DOI: 10.1103/PhysRevX.5.031023

Quantum magnetoresistance
journal, August 1998

Abrikosov, A. A.
Physical Review B, Vol. 58, Issue 5
DOI: 10.1103/PhysRevB.58.2788

Three-dimensional Dirac semimetal and quantum transport in Cd $_{3}$ As $_{2}$
journal, September 2013

Wang, Zhijun; Weng, Hongming; Wu, Quansheng
Physical Review B, Vol. 88, Issue 12
DOI: 10.1103/PhysRevB.88.125427

Observation of Fermi arc surface states in a topological metal
journal, December 2014

Xu, S. -Y.; Liu, C.; Kushwaha, S. K.
Science, Vol. 347, Issue 6219
DOI: 10.1126/science.1256742

Discovery of a Weyl fermion state with Fermi arcs in niobium arsenide
journal, August 2015

Xu, Su-Yang; Alidoust, Nasser; Belopolski, Ilya
Nature Physics, Vol. 11, Issue 9
DOI: 10.1038/nphys3437

Electric Field Effect in Atomically Thin Carbon Films
journal, October 2004

Novoselov, K. S.
Science, Vol. 306, Issue 5696, p. 666-669
DOI: 10.1126/science.1102896

Classification of stable three-dimensional Dirac semimetals with nontrivial topology
journal, September 2014

Yang, Bohm-Jung; Nagaosa, Naoto
Nature Communications, Vol. 5, Issue 1
DOI: 10.1038/ncomms5898

Weyl Semimetal in a Topological Insulator Multilayer
journal, September 2011

Burkov, A. A.; Balents, Leon
Physical Review Letters, Vol. 107, Issue 12
DOI: 10.1103/PhysRevLett.107.127205

Large linear magnetoresistance in the Dirac semimetal TlBiSSe
journal, January 2015

Novak, Mario; Sasaki, Satoshi; Segawa, Kouji
Physical Review B, Vol. 91, Issue 4
DOI: 10.1103/PhysRevB.91.041203

Transversal magnetoresistance in Weyl semimetals
journal, November 2015

Klier, J.; Gornyi, I. V.; Mirlin, A. D.
Physical Review B, Vol. 92, Issue 20
DOI: 10.1103/PhysRevB.92.205113

Axial-Vector Vertex in Spinor Electrodynamics
journal, January 1969

Adler, Stephen L.
Physical Review, Vol. 177, Issue 5
DOI: 10.1103/PhysRev.177.2426

Large linear magnetoresistance in Dirac semimetal ${Cd}_{3} {As}_{2}$ with Fermi surfaces close to the Dirac points
journal, August 2015

Feng, Junya; Pang, Yuan; Wu, Desheng
Physical Review B, Vol. 92, Issue 8
DOI: 10.1103/PhysRevB.92.081306

Electronic transport in two-dimensional graphene
journal, May 2011

Das Sarma, S.; Adam, Shaffique; Hwang, E. H.
Reviews of Modern Physics, Vol. 83, Issue 2, p. 407-470
DOI: 10.1103/RevModPhys.83.407

Discovery of a Weyl fermion semimetal and topological Fermi arcs
journal, July 2015

Xu, S. -Y.; Belopolski, I.; Alidoust, N.
Science, Vol. 349, Issue 6248
DOI: 10.1126/science.aaa9297

Weyl Semimetal Phase in Noncentrosymmetric Transition-Metal Monophosphides
journal, March 2015

Weng, Hongming; Fang, Chen; Fang, Zhong
Physical Review X, Vol. 5, Issue 1
DOI: 10.1103/PhysRevX.5.011029

Quantum transport in topological semimetals under magnetic fields
journal, June 2017

Lu, Hai-Zhou; Shen, Shun-Qing
Frontiers of Physics, Vol. 12, Issue 3
DOI: 10.1007/s11467-016-0609-y

Density of states and magnetotransport in Weyl semimetals with long-range disorder
journal, November 2015

Pesin, D. A.; Mishchenko, E. G.; Levchenko, A.
Physical Review B, Vol. 92, Issue 17
DOI: 10.1103/PhysRevB.92.174202

Anisotropic Fermi Surface and Quantum Limit Transport in High Mobility Three-Dimensional Dirac Semimetal ${Cd}_{3} {As}_{2}$
journal, September 2015

Zhao, Yanfei; Liu, Haiwen; Zhang, Chenglong
Physical Review X, Vol. 5, Issue 3
DOI: 10.1103/PhysRevX.5.031037

Probing the Chiral Anomaly with Nonlocal Transport in Three-Dimensional Topological Semimetals
journal, September 2014

Parameswaran, S. A.; Grover, T.; Abanin, D. A.
Physical Review X, Vol. 4, Issue 3
DOI: 10.1103/PhysRevX.4.031035

Chiral gauge field and axial anomaly in a Weyl semimetal
journal, June 2013

Liu, Chao-Xing; Ye, Peng; Qi, Xiao-Liang
Physical Review B, Vol. 87, Issue 23
DOI: 10.1103/PhysRevB.87.235306

Linear magnetoresistance in metals: Guiding center diffusion in a smooth random potential
journal, November 2015

Song, Justin C. W.; Refael, Gil; Lee, Patrick A.
Physical Review B, Vol. 92, Issue 18
DOI: 10.1103/PhysRevB.92.180204

A PCAC puzzle: π0→γγ in the σ-model
journal, March 1969

Bell, J. S.; Jackiw, R.
Il Nuovo Cimento A, Vol. 60, Issue 1
DOI: 10.1007/BF02823296

Chiral anomaly and classical negative magnetoresistance of Weyl metals
journal, September 2013

Son, D. T.; Spivak, B. Z.
Physical Review B, Vol. 88, Issue 10
DOI: 10.1103/PhysRevB.88.104412

The electronic properties of graphene
journal, January 2009

Castro Neto, A. H.; Guinea, F.; Peres, N. M. R.
Reviews of Modern Physics, Vol. 81, Issue 1, p. 109-162
DOI: 10.1103/RevModPhys.81.109

Adler-Bell-Jackiw anomaly in Weyl semimetals: Application to pyrochlore iridates
journal, June 2012

Aji, Vivek
Physical Review B, Vol. 85, Issue 24
DOI: 10.1103/PhysRevB.85.241101

Ultrahigh mobility and giant magnetoresistance in the Dirac semimetal Cd3As2
journal, November 2014

Liang, Tian; Gibson, Quinn; Ali, Mazhar N.
Nature Materials, Vol. 14, Issue 3
DOI: 10.1038/nmat4143

Electron-Electron Interactions in Graphene: Current Status and Perspectives
journal, July 2012

Kotov, Valeri N.; Uchoa, Bruno; Pereira, Vitor M.
Reviews of Modern Physics, Vol. 84, Issue 3
DOI: 10.1103/RevModPhys.84.1067

Topological semimetal and Fermi-arc surface states in the electronic structure of pyrochlore iridates
journal, May 2011

Wan, Xiangang; Turner, Ari M.; Vishwanath, Ashvin
Physical Review B, Vol. 83, Issue 20
DOI: 10.1103/PhysRevB.83.205101

Works referencing / citing this record:

Corrections to the magnetoresistance formula for semimetals with Dirac electrons: the Boltzmann equation approach validated by the Kubo formula
journal, October 2018

Owada, Mitsuaki; Awashima, Yudai; Fuseya, Yuki
Journal of Physics: Condensed Matter, Vol. 30, Issue 44
DOI: 10.1088/1361-648x/aae03c

Thermoelectric transport coefficients of a Dirac electron gas in high magnetic fields
journal, October 2019

Könye, Viktor; Ogata, Masao
Physical Review B, Vol. 100, Issue 15
DOI: 10.1103/physrevb.100.155430

Positive longitudinal spin magnetoconductivity in $Z_{2}$ topological Dirac semimetals
journal, December 2019

Deng, Ming-Xun; Yang, Yan-Yan; Luo, Wei
Physical Review B, Vol. 100, Issue 23
DOI: 10.1103/physrevb.100.235105

Disorder and magnetoconductivity in tilted Weyl semimetals
journal, February 2020

Wang, Yi-Xiang; Li, Fuxiang
Physical Review B, Vol. 101, Issue 8
DOI: 10.1103/physrevb.101.085201

Magnetoresistance of a three-dimensional Dirac gas
journal, November 2018

Könye, Viktor; Ogata, Masao
Physical Review B, Vol. 98, Issue 19
DOI: 10.1103/physrevb.98.195420

Thermoelectric transport coefficients of a Dirac electron gas in high magnetic fields
text, January 2019

Könye, Viktor; Ogata, Masao
arXiv
DOI: 10.48550/arxiv.1909.11292

Disorder and magnetoconductivity in tilted Weyl semimetals
text, January 2020

Wang, Yi-Xiang; Li, Fuxiang
arXiv
DOI: 10.48550/arxiv.2002.06292

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Title: Magnetoconductivity in Weyl semimetals: Effect of chemical potential and temperature

Abstract

Citation Formats

Figures / Tables:

Experimental observation of the quantum Hall effect and Berry's phase in graphene journal, November 2005

Electronic properties of graphene in a strong magnetic field journal, November 2011

Observation of the Chiral-Anomaly-Induced Negative Magnetoresistance in 3D Weyl Semimetal TaAs journal, August 2015

Quantum magnetoresistance journal, August 1998

Three-dimensional Dirac semimetal and quantum transport in Cd 3 As 2 journal, September 2013

Observation of Fermi arc surface states in a topological metal journal, December 2014

Discovery of a Weyl fermion state with Fermi arcs in niobium arsenide journal, August 2015

Electric Field Effect in Atomically Thin Carbon Films journal, October 2004

Classification of stable three-dimensional Dirac semimetals with nontrivial topology journal, September 2014

Weyl Semimetal in a Topological Insulator Multilayer journal, September 2011

Large linear magnetoresistance in the Dirac semimetal TlBiSSe journal, January 2015

Transversal magnetoresistance in Weyl semimetals journal, November 2015

Axial-Vector Vertex in Spinor Electrodynamics journal, January 1969

Large linear magnetoresistance in Dirac semimetal Cd 3 As 2 with Fermi surfaces close to the Dirac points journal, August 2015

Electronic transport in two-dimensional graphene journal, May 2011

Discovery of a Weyl fermion semimetal and topological Fermi arcs journal, July 2015

Weyl Semimetal Phase in Noncentrosymmetric Transition-Metal Monophosphides journal, March 2015

Quantum transport in topological semimetals under magnetic fields journal, June 2017

Density of states and magnetotransport in Weyl semimetals with long-range disorder journal, November 2015

Anisotropic Fermi Surface and Quantum Limit Transport in High Mobility Three-Dimensional Dirac Semimetal Cd 3 As 2 journal, September 2015

Probing the Chiral Anomaly with Nonlocal Transport in Three-Dimensional Topological Semimetals journal, September 2014

Chiral gauge field and axial anomaly in a Weyl semimetal journal, June 2013

Linear magnetoresistance in metals: Guiding center diffusion in a smooth random potential journal, November 2015

A PCAC puzzle: π0→γγ in the σ-model journal, March 1969

Chiral anomaly and classical negative magnetoresistance of Weyl metals journal, September 2013

The electronic properties of graphene journal, January 2009

Adler-Bell-Jackiw anomaly in Weyl semimetals: Application to pyrochlore iridates journal, June 2012

Ultrahigh mobility and giant magnetoresistance in the Dirac semimetal Cd3As2 journal, November 2014

Electron-Electron Interactions in Graphene: Current Status and Perspectives journal, July 2012

Topological semimetal and Fermi-arc surface states in the electronic structure of pyrochlore iridates journal, May 2011

Corrections to the magnetoresistance formula for semimetals with Dirac electrons: the Boltzmann equation approach validated by the Kubo formula journal, October 2018

Thermoelectric transport coefficients of a Dirac electron gas in high magnetic fields journal, October 2019

Positive longitudinal spin magnetoconductivity in Z 2 topological Dirac semimetals journal, December 2019

Disorder and magnetoconductivity in tilted Weyl semimetals journal, February 2020

Magnetoresistance of a three-dimensional Dirac gas journal, November 2018

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Disorder and magnetoconductivity in tilted Weyl semimetals text, January 2020

Experimental observation of the quantum Hall effect and Berry's phase in graphene
journal, November 2005

Electronic properties of graphene in a strong magnetic field
journal, November 2011

Observation of the Chiral-Anomaly-Induced Negative Magnetoresistance in 3D Weyl Semimetal TaAs
journal, August 2015

Quantum magnetoresistance
journal, August 1998

Three-dimensional Dirac semimetal and quantum transport in Cd $_{3}$ As $_{2}$
journal, September 2013

Observation of Fermi arc surface states in a topological metal
journal, December 2014

Discovery of a Weyl fermion state with Fermi arcs in niobium arsenide
journal, August 2015

Electric Field Effect in Atomically Thin Carbon Films
journal, October 2004

Classification of stable three-dimensional Dirac semimetals with nontrivial topology
journal, September 2014

Weyl Semimetal in a Topological Insulator Multilayer
journal, September 2011

Large linear magnetoresistance in the Dirac semimetal TlBiSSe
journal, January 2015

Transversal magnetoresistance in Weyl semimetals
journal, November 2015

Axial-Vector Vertex in Spinor Electrodynamics
journal, January 1969

Large linear magnetoresistance in Dirac semimetal ${Cd}_{3} {As}_{2}$ with Fermi surfaces close to the Dirac points
journal, August 2015

Electronic transport in two-dimensional graphene
journal, May 2011

Discovery of a Weyl fermion semimetal and topological Fermi arcs
journal, July 2015

Weyl Semimetal Phase in Noncentrosymmetric Transition-Metal Monophosphides
journal, March 2015

Quantum transport in topological semimetals under magnetic fields
journal, June 2017

Density of states and magnetotransport in Weyl semimetals with long-range disorder
journal, November 2015

Anisotropic Fermi Surface and Quantum Limit Transport in High Mobility Three-Dimensional Dirac Semimetal ${Cd}_{3} {As}_{2}$
journal, September 2015

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journal, September 2014

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journal, November 2015

A PCAC puzzle: π0→γγ in the σ-model
journal, March 1969

Chiral anomaly and classical negative magnetoresistance of Weyl metals
journal, September 2013

The electronic properties of graphene
journal, January 2009

Adler-Bell-Jackiw anomaly in Weyl semimetals: Application to pyrochlore iridates
journal, June 2012

Ultrahigh mobility and giant magnetoresistance in the Dirac semimetal Cd3As2
journal, November 2014

Electron-Electron Interactions in Graphene: Current Status and Perspectives
journal, July 2012

Topological semimetal and Fermi-arc surface states in the electronic structure of pyrochlore iridates
journal, May 2011

Corrections to the magnetoresistance formula for semimetals with Dirac electrons: the Boltzmann equation approach validated by the Kubo formula
journal, October 2018

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