Non-Fermi-Liquid and Topological States with Strong Spin-Orbit Coupling

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We argue that a class of strongly spin-orbit-coupled materials, including some pyrochlore iridates and the inverted band gap semiconductor HgTe, may be described by a minimal model consisting of the Luttinger Hamiltonian supplemented by Coulomb interactions, a problem studied by Abrikosov and collaborators. It contains twofold degenerate conduction and valence bands touching quadratically at the zone center. Using modern renormalization group methods, we update and extend Abrikosov's classic work and show that interactions induce a quantum critical non-Fermi-liquid phase, stable provided time-reversal and cubic symmetries are maintained. We determine the universal power-law exponents describing various observables in this Luttinger-Abrikosov-Beneslavskii state, which include conductivity, specific heat, nonlinear susceptibility, and the magnetic Gruneisen number. Furthermore, we determine the phase diagram in the presence of cubic and/or time-reversal symmetry breaking perturbations, which includes a topological insulator and Weyl semimetal phases. Many of these phases possess an extraordinarily large anomalous Hall effect, with the Hall conductivity scaling sublinearly with magnetization sigma(xy) similar to M-0.51.
Publisher
AMER PHYSICAL SOC
Issue Date
2013-11
Language
English
Article Type
Article
Keywords

QUANTUM CRITICAL-POINTS; GRUNEISEN-PARAMETER; SUPERCONDUCTORS; INSULATORS; METALS; WELLS

Citation

PHYSICAL REVIEW LETTERS, v.111, no.20, pp.UNSP 20640 - UNSP 20640

ISSN
0031-9007
DOI
10.1103/PhysRevLett.111.206401
URI
http://hdl.handle.net/10203/200022
Appears in Collection
PH-Journal Papers(저널논문)
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