Critical exponents at the unconventional disorder-driven transition in a Weyl semimetal

被引:49
作者
Syzranov, S. V. [1 ,2 ]
Ostrovsky, P. M. [3 ,4 ]
Gurarie, V. [1 ,2 ]
Radzihovsky, L. [1 ,2 ,5 ]
机构
[1] Univ Colorado, Dept Phys, Boulder, CO 80309 USA
[2] Univ Colorado, Ctr Theory Quantum Matter, Boulder, CO 80309 USA
[3] Max Planck Inst Solid State Res, Heisenbergstr 1, D-70569 Stuttgart, Germany
[4] RAS, LD Landau Theoret Phys Inst, Moscow 119334, Russia
[5] Univ Colorado, JILA, NIST, Boulder, CO 80309 USA
基金
美国国家科学基金会;
关键词
GROSS-NEVEU MODEL; CRITICAL-BEHAVIOR; BETA-FUNCTION; DEGENERATE SEMICONDUCTORS; FERMION SEMIMETAL; ARCS;
D O I
10.1103/PhysRevB.93.155113
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
Disordered noninteracting systems in sufficiently high dimensions have been predicted to display a non-Anderson disorder-driven transition that manifests itself in the critical behavior of the density of states and other physical observables. Recently, the critical properties of this transition have been extensively studied for the specific case of Weyl semimetals by means of numerical and renormalisation-group approaches. Despite this, the values of the critical exponents at such a transition in a Weyl semimetal are currently under debate. We present an independent calculation of the critical exponents using a two-loop renormalization-group approach for Weyl fermions in 2 - epsilon dimensions and resolve controversies currently existing in the literature.
引用
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页数:10
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