The DOI matches its Crossref record; 27 of the 27 references it cites were found in a registry or an index.
Non-Fermi-liquid and topological states with strong spin-orbit coupling.
Open accessAbstract
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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In the citing paper
“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
In the citing paper
“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
In the citing paper
“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
In the citing paper
“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
In the citing paper
“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
Citations
Cites
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Flagged first, then by citations
Research works printed but not linked: 2
- A. A. Abrikosov, 1971, Sov. Phys. JETP, 32, 699
- A. A. Abrikosov, 1974, Sov. Phys. JETP, 39, 709
Cited by
Sorted by citations
Weyl and Dirac semimetals in three-dimensional solids
Armitage, N. P., Mele, E. J., & Vishwanath, A. (2018) · Reviews of Modern Physics · doi:10.1103/revmodphys.90.015001 · Cited by 4,528
“…phase above the magnetic ordering temperature is expected have quadratic doubly degenerate bands that touch at the Γ point (Kondo et al., 2015; Nakayama et al., 2016; Witczak-Krempa and Kim, 2012), a state we term a Luttinger semimetal (Abrikosov and Beneslavskii, 1971a; Moon et al., 2013).”
BackgroundInfluentialClassification of stable three-dimensional Dirac semimetals with nontrivial topology
Yang, B.-J., & Nagaosa, N. (2014) · Nature Communications · doi:10.1038/ncomms5898 · Cited by 864
The conformal bootstrap: Theory, numerical techniques, and applications
Poland, D., Rychkov, S., & Vichi, A. (2019) · Reviews of Modern Physics · doi:10.1103/revmodphys.91.015002 · Cited by 922
Spin-Orbit Physics Giving Rise to Novel Phases in Correlated Systems: Iridates and Related Materials
Rau, J. G., Lee, E. K.-H., & Kee, H. (2015) · Annual Review of Condensed Matter Physics · doi:10.1146/annurev-conmatphys-031115-011319 · Cited by 735
Experimental perspective on three-dimensional topological semimetals
Lv, B., Qian, T., & Ding, H. Q. (2021) · Reviews of Modern Physics · doi:10.1103/revmodphys.93.025002 · Cited by 632
Metadata
- Authors
- Moon, E.-G., Xu, C., Kim, Y. B., & Balents, L.
- Affiliations
- University of California, Santa Barbara (US)
- University of Toronto (CA)
- 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
- 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
- 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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