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

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

Open access
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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Crossref · 10.1103/physrevlett.111.206401

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27 of 27 references verified0 citation errors · 0 not checkable

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  • These Weyl points correspond to ±2 monopoles in momentum space.

    “These Weyl points correspond to ± 2 monopoles in momentum space.”

    From Weyl and Dirac semimetals in three-dimensional solids (2018) · cites this paper as Moon et al., 2013

  • Applied magnetic field allows non-degenerate bands to cross along the applied field direction, and for fields in the (001) direction, gives a pair of double Weyl points, with linear dispersion along the applied field direction axis and quadratic dispersion normal to it.

    “Applied magnetic field allows non-degenerate bands to cross along the applied field direction and for fields in the (001) direction, give a pair of double Weyl points, with linear dispersion along the applied field direction axis and quadratic dispersion normal to it (Moon et al. , 2013).”

    From Weyl and Dirac semimetals in three-dimensional solids (2018) · cites this paper as Moon et al., 2013

  • These QBT systems can be viewed as 'parent' states to a number of topological phases.

    “Quadratic band touching points that are not topologically protected are generically unstable to cubic symmetry or T breaking perturbations and in this regard these systems can be viewed as 'parent' states to a number of topological phases (Cano et al. , 2017; Moon et al. , 2013).”

    From Weyl and Dirac semimetals in three-dimensional solids (2018) · cites this paper as Moon et al., 2013

  • Quadratic band touching points that are not topologically protected are generically unstable to cubic symmetry or T breaking perturbations.

    “Quadratic band touching points that are not topologically protected are generically unstable to cubic symmetry or T breaking perturbations and in this regard these systems can be viewed as 'parent' states to a number of topological phases (Cano et al. , 2017; Moon et al. , 2013).”

    From Weyl and Dirac semimetals in three-dimensional solids (2018) · cites this paper as Moon et al., 2013

  • Moon et al. argue that for the 3D case the Coulomb interactions may stabilize a new stable non-Fermi liquid phase, rather than driving the system to an instability.

    “More recently Moon et al. , 2013 argue that for the 3D case the Coulomb interactions may stabilize a new stable non-Fermi liquid phase , rather than driving the system to an instability.”

    From Weyl and Dirac semimetals in three-dimensional solids (2018) · cites this paper as Moon et al., 2013

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Authors
Moon, E.-G., Xu, C., Kim, Y. B., & Balents, L.
Affiliations
  • University of California, Santa Barbara (US)
  • University of Toronto (CA)
ORCID
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
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 › Atomic and Molecular Physics, and Optics › 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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