Scattering theory of the chiral magnetic effect in a Weyl semimetal: interplay of bulk Weyl cones and surface Fermi arcs

被引:51
作者
Baireuther, P. [1 ]
Hutasoit, J. A. [1 ]
Tworzydlo, J. [2 ]
Beenakker, C. W. J. [1 ]
机构
[1] Leiden Univ, Inst Lorentz, POB 9506, NL-2300 RA Leiden, Netherlands
[2] Univ Warsaw, Fac Phys, Inst Theoret Phys, Ul Pasteura 5, PL-02093 Warsaw, Poland
关键词
Weyl semimetal; chiral magnetic effect; scattering theory; Fermi arcs; surface contribution; EQUILIBRIUM; DISCOVERY;
D O I
10.1088/1367-2630/18/4/045009
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We formulate a linear response theory of the chiral magnetic effect in a finite Weyl semimetal, expressing the electrical current density j induced by a slowly oscillating magnetic field B or chiral chemical potential mu in terms of the scattering matrix of Weyl fermions at the Fermi level. Surface conduction can be neglected in the infinite-system limit for delta j/delta mu, but not for delta j/delta B: the chirally circulating surface Fermi arcs give a comparable contribution to the bulk Weyl cones no matter how large the system is, because their smaller number is compensated by an increased flux sensitivity. The Fermi arc contribution to mu(-1)delta j/delta B has the universal value (e/h)(2), protected by chirality against impurity scattering-unlike the bulk contribution of opposite sign.
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页数:11
相关论文
共 48 条
[1]  
Alavirad Y, 2015, ARXIV151001767
[2]   Universality of transport properties in equilibrium, the goldstone theorem, and chiral anomaly [J].
Alekseev, AY ;
Cheianov, VV ;
Frohlich, J .
PHYSICAL REVIEW LETTERS, 1998, 81 (16) :3503-3506
[3]  
[Anonymous], 2015, PHYSICS, V8, P84
[4]  
Arnold F, 2015, ARXIV150606577
[5]   Triangle anomaly in Weyl semimetals [J].
Basar, Goekce ;
Kharzeev, Dmitri E. ;
Yee, Ho-Ung .
PHYSICAL REVIEW B, 2014, 89 (03)
[6]   Visualizing the chiral anomaly in Dirac and Weyl semimetals with photoemission spectroscopy [J].
Behrends, Jan ;
Grushin, Adolfo G. ;
Ojanen, Teemu ;
Bardarson, Jens H. .
PHYSICAL REVIEW B, 2016, 93 (07)
[7]   It's been a Weyl coming [J].
Bernevig, B. Andrei .
NATURE PHYSICS, 2015, 11 (09) :698-699
[8]   Chiral anomaly and transport in Weyl metals [J].
Burkov, A. A. .
JOURNAL OF PHYSICS-CONDENSED MATTER, 2015, 27 (11)
[9]   Chiral anomaly without relativity [J].
Burkov, Anton .
SCIENCE, 2015, 350 (6259) :378-379
[10]   Chiral magnetic effect in a two-band lattice model of Weyl semimetal [J].
Chang, Ming-Che ;
Yang, Min-Fong .
PHYSICAL REVIEW B, 2015, 91 (11)