Cited by 261Advanced Condensed Matter PhysicsTopological Materials and PhenomenaPhysics of Superconductivity and Magnetism

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Non-Fermi-liquid and topological states with strong spin-orbit coupling.

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Moon, Eun-Gook, Xu, Cenke, Kim, Yong Baek, Balents, Leon·2013·Physical Review Letters

DOI 10.1103/physrevlett.111.206401

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Abstract

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 σ(xy)∼M0.51.

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A. A. Abrikosov, 1971, Sov. Phys. JETP, 32, 699
A. A. Abrikosov, 1974, Sov. Phys. JETP, 39, 709

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Self-citation

Authors: Moon, E.-G., Xu, C., Kim, Y. B., & Balents, L.
Affiliations: University of California, Santa Barbara (US)
University of Toronto (CA)
ORCID: Moon, Eun-Gook
Xu, Cenke
Kim, Yong Baek
Balents, Leon
Venue: Physical Review Letters
Publisher: American Physical Society (APS)
Published: 2013-11-12
Volume: 111
Issue: 20
Pages: 206401-206401
ISSN: 0031-9007 (ISSN-L)
1079-7114
DOI: 10.1103/physrevlett.111.206401
OpenAlex: W2134259379
Cited by: 260
References: 27
Citations by year: 2026: 10 · 2025: 17 · 2024: 23 · 2023: 16 · 2022: 15 · 2021: 18 · 2020: 33 · 2019: 22 · 2018: 23 · 2017: 19 · 2016: 26 · 2015: 26 · 2014: 12
FWCI: 14.01
Type: journal article
Language: en
Open access: green
arxiv.org
Licence: link.aps.org/licenses/aps-default-license (vor)
Locations: Physical Review Letters (publishedVersion)
PubMed (publishedVersion)
arXiv (Cornell University) (submittedVersion)
arXiv (Cornell University)
Topics: Physical Sciences › Physics and Astronomy › Condensed Matter Physics › Advanced Condensed Matter Physics
Physical Sciences › Physics and Astronomy › Condensed Matter Physics › Topological Materials and Phenomena
Physical Sciences › Physics and Astronomy › Condensed Matter Physics › Physics of Superconductivity and Magnetism
Keywords: non-Fermi liquid, topological insulators, Weyl semimetals, strong spin-orbit coupling, Luttinger Hamiltonian, electrostatic interactions, quantum criticality, flow index, HgTe, pyrochlore iridates, time-reversal symmetry breaking, cubic symmetry breaking, anomalous Hall effect, nonlinear optical susceptibility, specific heat, conductivity

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Non-Fermi-liquid and topological states with strong spin-orbit coupling.

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