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Weyl Metals

A.A. Burkov

Apr 21, 2017

20 pages

Published in:

Ann.Rev.Condensed Matter Phys. 9 (2018) 359-378

Published: Dec 20, 2017

e-Print:

1704.06660 [cond-mat.mes-hall]

DOI:

10.1146/annurev-conmatphys-033117-054129

View in:

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Abstract: (Annual Reviews)

Weyl metal is the first example of a conducting material with a nontrivial electronic structure topology, making it distinct from an ordinary metal. Unlike in insulators, the nontrivial topology is not related to invariants associated with completely filled bands but with ones associated with the Fermi surface. The Fermi surface of a topological metal consists of disconnected sheets, each enclosing a Weyl node, which is a point of contact between two nondegenerate bands. Such a point contact acts as a source of Berry curvature or a magnetic monopole in momentum space. Its charge, or the flux of the Berry curvature through the enclosing Fermi surface sheet, is a topological invariant. We review the current state of this rapidly growing field with a focus on bulk transport phenomena in topological metals.

Note:

21 pages, 6 figures. Review article, submitted to Annual Reviews of Condensed Matter Physics

Weyl semimetal,Dirac semimetal,topological insulator,chiral anomaly

References(75)

Figures(6)

[1]

Model for a Quantum Hall Effect without Landau Levels: Condensed-Matter Realization of the 'Parity Anomaly'

F.D.M. Haldane
(
- UC, San Diego
)

- Phys.Rev.Lett. 61 (1988) 2015-2018
•
DOI:
- 10.1103/PhysRevLett.61.2015

[2]

Topological Insulators

M.Z. Hasan
(
- Princeton U.
)
,
C.L. Kane
(
- Pennsylvania U.
)

- Rev.Mod.Phys. 82 (2010) 3045
•
e-Print:
- 1002.3895
•
DOI:
- 10.1103/RevModPhys.82.3045

[3]

Topological insulators and superconductors

Xiao Liang Qi
(
- UC, Santa Barbara and
- Stanford U.
)
,
Shou Cheng Zhang
(
- Stanford U.
)

- Rev.Mod.Phys. 83 (2011) 4, 1057-1110
•
e-Print:
- 1008.2026
•
DOI:
- 10.1103/RevModPhys.83.1057

[4]

The Universe in a helium droplet

Volovik G.

[5]

Berry Curvature on the Fermi Surface: Anomalous Hall Effect as a Topological Fermi-Liquid Property

F.D.M. Haldane
(
- Princeton U.
)

- Phys.Rev.Lett. 93 (2004) 206602
•
e-Print:
- cond-mat/0408417
•
DOI:
- 10.1103/PhysRevLett.93.206602

[6]

Quantum phase transitions from topology in momentum space

G.E. Volovik
(
- Helsinki U. of Tech. and
- Landau Inst.
)

- Lect.Notes Phys. 718 (2007) 31-73
•
e-Print:
- cond-mat/0601372
•
DOI:
- 10.1007/3-540-70859-6_3

[7]

Article Locations:

Murakami S.

- New J.Phys. 9 (2007) 356
•
DOI:
- 10.1088/1367-2630/9/9/356

[8]

Topological semimetal and Fermi-arc surface states in the electronic structure of pyrochlore iridates

Xiangang Wan
(
- Nanjing U.
)
,
Ari Turner
(
- UC, Berkeley
)
,
Ashvin Vishwanath
(
- UC, Berkeley and
- LBNL, Berkeley
)
,
Sergey Y. Savrasov
(
- Nanjing U. and
- UC, Davis
)

- Phys.Rev.B 83 (2011) 20, 205101
•
e-Print:
- 1007.0016
•
DOI:
- 10.1103/PhysRevB.83.205101

[9]

Yang KY, Lu YM

Ran Y.

- Phys.Rev.B 84 (2011) 075129
•
DOI:
- 10.1103/PhysRevB.84.075129

[10]

Weyl Semimetal in a Topological Insulator Multilayer

- Phys.Rev.Lett. 107 (2011) 12, 127205
•
e-Print:
- 1105.5138
•
DOI:
- 10.1103/PhysRevLett.107.127205

[11]

Burkov AA, Hook MD

Balents L.

- Phys.Rev.B 84 (2011) 235126
•
DOI:
- 10.1103/PhysRevB.84.235126

[12]

Chern semi-metal and Quantized Anomalous Hall Effect in $HgCr_2Se_4$

Gang Xu
(
- Beijing, Inst. Phys.
)
,
Hongming Weng
(
- Beijing, Inst. Phys.
)
,
Zhijun Wang
(
- Beijing, Inst. Phys.
)
,
Xi Dai
(
- Beijing, Inst. Phys.
)
,
Zhong Fang
(
- Beijing, Inst. Phys.
)

- Phys.Rev.Lett. 107 (2011) 186806
•
e-Print:
- 1106.3125
•
DOI:
- 10.1103/PhysRevLett.107.186806

[13]

Young SM

Zaheer S

- Phys.Rev.Lett. 108 (2012) 140405
•
DOI:
- 10.1103/PhysRevLett.108.140405

[14]

Chen XQ, Franchini C

Wang Z
,
Sun Y

- Phys.Rev.B 85 (2012) 195320
•
DOI:
- 10.1103/PhysRevB.85.195320

[15]

Wu Q, Dai X, Fang Z

Wang Z
,
Weng H

- Phys.Rev.B 88 (2013) 125427
•
DOI:
- 10.1103/PhysRevB.88.125427

[16]

Discovery of a Weyl Fermion semimetal and topological Fermi arcs

et al.

- Science 349 (2015) 613-617
•
e-Print:
- 1502.03807
•
DOI:
- 10.1126/science.aaa9297

[17]

Xu SY, Sankar R, Alidoust N, Bian G, et al

Neupane M

[18]

Lv BQ, Xu N, Weng HM, Ma JZ

Richard P

•
DOI:
- 10.1038/nphys3426

[19]

Experimental discovery of Weyl semimetal TaAs

et al.

- Phys.Rev.X 5 (2015) 3, 031013
•
e-Print:
- 1502.04684
•
DOI:
- 10.1103/PhysRevX.5.031013

[20]

Experimental observation of Weyl points

et al.

- Science 439 (2015) 6248, 622-624
•
DOI:
- 10.1126/science.aaa9273

[21]

Annu. Rev

Yan B
,
Felser C.

- Condensed Matter Phys. 8 (2017) 337-54

[22]

Hasan MZ, Xu SY

Belopolski I

- Condensed Matter Phys. 8 (2017) 289-309

[23]

Halperin BI, Wu YS

Kohmoto M

- Phys.Rev.B 45 (1992) 13488-93
•
DOI:
- 10.1103/PhysRevB.45.13488

[24]

Chang CZ

Zhang J
,
Feng X
,
Shen J
,
Zhang Z

- Science 340 (2013) 167-70
•
DOI:
- 10.1126/science.1234414

[25]

Qi X-L.. Annu. Rev

Liu C-X
,
Zhang S-C

- Condensed Matter Phys. 7 (2016) 301-21

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