Topological and magnetic phases of interacting electrons in the pyrochlore iridates
Open accessAbstract
We construct a model for interacting electrons with strong spin-orbit coupling in the pyrochlore iridates. We establish the importance of the direct hopping process between the Ir atoms, and use the relative strength of the direct and indirect hopping as a generic tuning parameter to study the correlation effects across the iridates family. We predict quantum phase transitions between conventional and/or topologically nontrivial phases. At weak coupling, we find topological insulator and metallic phases. As one increases the interaction strength, various magnetic orders emerge. The topological Weyl semimetal phase is found to be realized in these different orders, one of them being the all-in/all-out pattern. Our findings establish the possible magnetic ground states for the iridates and suggest the generic presence of the Weyl semimetal phase in correlated magnetic insulators on the pyrochlore lattice. We discuss the implications for existing and future experiments.
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In the pyrochlore iridates where the interaction scale is comparable to the spin-orbit scale, this leads to a rich mean-field phase diagram featuring topological insulating and semimetallic phases with transitions driven by the type of magnetic order.
“This was a key feature in the early development of this subject and in the pyrochlore iridates where the interaction scale is comparable to the spin-orbit scale (Wan et al. , 2011; Witczak-Krempa and Kim, 2012) this leads to a rich mean-field phase diagram featuring topological insulating and semimetallic phases with transitions driven by the type of magnetic order.”
From Weyl and Dirac semimetals in three-dimensional solids (2018) · cites this paper as Witczak-Krempa and Kim, 2012
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Experimental — accuracy not yet measuredThe metallic phase above the magnetic ordering temperature in pyrochlore iridates is expected to have quadratic doubly degenerate bands that touch at the Γ point, a state termed a Luttinger semimetal.
“The metallic 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).”
From Weyl and Dirac semimetals in three-dimensional solids (2018) · cites this paper as Witczak-Krempa and Kim, 2012
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Cites
Topological insulators and superconductors
Qi, X.-L., & Zhang, S.-C. (2011) · Reviews of Modern Physics · doi:10.1103/revmodphys.83.1057 · Cited by 14,394 · see citing works
Wan, X., Turner, A. M., Vishwanath, A., & Savrasov, S. Y. (2011) · Physical Review B · doi:10.1103/physrevb.83.205101 · Cited by 4,718 · see citing works
Flagged first, then by citations
Research works printed but not linked: 5
- Rev. B 82, 165122 (2010) 6 M. Levin and A. Stern, Phys. Rev. Lett. 103, 196803
- (2009) 7 S. Rachel and K. Le Hur, Phys. Rev. B 82, 075106 (2010) 8 J. Maciejko, X.-L. Qi, A. Karch, and S.-C. Zhang, Phys.
- Rev. Lett. 105, 246809 (2010) 9 B. Swingle, M. Barkeshli, J. McGreevy, and T. Senthil arXiv:1005.1076 10 X.-L. Qi arXiv:1105.4298 11 X. Wan, A. M. Turner, A. Vishwanath, and S. Y. Savrasov, · arXiv
- Phys. Rev. B 83, 205101 (2011) 12 L. Balents, Physics 4, 36 (2011) 13 G. A. Fiete, V. Chua, X. Hu, M. Kargarian, R. Lundgren,
- A. Ruegg, J. Wen, and V. Zyuzin(2011), arXiv:1106.0013 14 M. Kargarian, J. Wen, and G. A. Fiete, Phys. Rev. B 83, · arXiv
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 · see citing works
“In a crystal with cubic symmetry, where T breaking Weyl nodes may appear as proposed in the pyrochlore iridates (Wan et al., 2011; Wang et al., 2017; Witczak-Krempa and Kim, 2012), symmetry enforces vanishing of the anomalous Hall effect, due to the absence of a preferred axis.”
BackgroundTopological response in Weyl semimetals and the chiral anomaly
Zyuzin, A. A., & Burkov, A. A. (2012) · Physical Review B · doi:10.1103/physrevb.86.115133 · Cited by 906 · see citing works
Recent developments in transport phenomena in Weyl semimetals
Hosur, P., & Qi, X. (2013) · Comptes Rendus. Physique · doi:10.1016/j.crhy.2013.10.010 · Cited by 743 · see citing works
Quantum oscillations from surface Fermi arcs in Weyl and Dirac semimetals
Potter, A. C., Kimchi, I., & Vishwanath, A. (2014) · Nature Communications · doi:10.1038/ncomms6161 · Cited by 558 · see citing works
Probing the Chiral Anomaly with Nonlocal Transport in Three-Dimensional Topological Semimetals
Parameswaran, S. A., Grover, T., Abanin, D. A., Pesin, D. A., & Vishwanath, A. (2014) · Physical Review X · doi:10.1103/physrevx.4.031035 · Cited by 442 · see citing works
Non-Fermi-liquid and topological states with strong spin-orbit coupling.
Moon, E.-G., Xu, C., Kim, Y. B., & Balents, L. (2013) · Physical Review Letters · doi:10.1103/physrevlett.111.206401 · Cited by 260 · see citing works
Self-citationOptical spectroscopy of the Weyl semimetal TaAs
Xu, B., Dai, Y. M., Zhao, L. X., Wang, K., Yang, R., Zhang, W., Liu, J. Y., Xiao, H., Chen, G. F., Taylor, A. J., et al. (2016) · Physical Review B · doi:10.1103/physrevb.93.121110 · Cited by 177 · see citing works
Beyond Band Insulators: Topology of Semimetals and Interacting Phases
Turner, A. M., & Vishwanath, A. (2013) · Contemporary Concepts of Condensed Matter Science · doi:10.1016/b978-0-444-63314-9.00011-1 · Cited by 164 · see citing works
Friedel oscillations due to Fermi arcs in Weyl semimetals
Hosur, P. (2012) · Physical Review B · doi:10.1103/physrevb.86.195102 · Cited by 152 · see citing works
Magneto-optical conductivity of Weyl semimetals
Ashby, P. E. C., & Carbotte, J. P. (2013) · Physical Review B · doi:10.1103/physrevb.87.245131 · Cited by 148 · see citing works
Field-induced quantum metal–insulator transition in the pyrochlore iridate Nd2Ir2O7
Tian, Z., Kohama, Y., Tomita, T., Ishizuka, H., Hsieh, T. H., Ishikawa, J. J., Kindo, K., Balents, L., & Nakatsuji, S. (2016) · Nature Physics · doi:10.1038/nphys3567 · Cited by 145 · see citing works
Helical Fermi arcs and surface states in time-reversal invariant Weyl semimetals
Ojanen, T. (2013) · Physical Review B · doi:10.1103/physrevb.87.245112 · Cited by 129 · see citing works
Topological Nodal Cooper Pairing in Doped Weyl Metals.
Li, Y., & Haldane, F. D. M. (2018) · Physical Review Letters · doi:10.1103/physrevlett.120.067003 · Cited by 113 · see citing works
Tunable circular dichroism due to the chiral anomaly in Weyl semimetals
Hosur, P., & Qi, X.-L. (2015) · Physical Review B · doi:10.1103/physrevb.91.081106 · Cited by 95 · see citing works
Current at a distance and resonant transparency in Weyl semimetals
Baum, Y., Berg, E., Parameswaran, S. A., & Stern, A. (2015) · Physical Review X · doi:10.1103/physrevx.5.041046 · Cited by 79 · see citing works
Ishizuka, H., Hayata, T., Ueda, M., & Nagaosa, N. (2016) · Physical Review Letters · doi:10.1103/physrevlett.117.216601 · Cited by 76 · see citing works
Weyl and Dirac Semimetals in Three Dimensional Solids
Armitage, N. P., Mele, E. J., & Vishwanath, A. (2017) · arXiv
“In a crystal with cubic symmetry, where T breaking Weyl nodes may appear as proposed in the pyrochlore iridates (Wan et al., 2011; Wang et al., 2017; Witczak-Krempa and Kim, 2012), symmetry enforces vanishing of the anomalous Hall effect, due to the absence of a preferred axis.”
Background
- Authors
- Witczak-Krempa, W., & Kim, Y. B.
- Affiliations
- Korea Institute for Advanced Study (KR)
- ORCID
- Kim, Yong Baek
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 2012-01-24
- Volume
- 85
- Issue
- 4
- ISSN
- 1098-0121 (ISSN-L)
- 1550-235X
- OpenAlex
- W2078619771
- Cited by
- 384
- References
- 2
- Citations by year
- 2026: 15 · 2025: 17 · 2024: 22 · 2023: 17 · 2022: 14 · 2021: 18 · 2020: 27 · 2019: 29 · 2018: 28 · 2017: 32 · 2016: 38 · 2015: 39 · 2014: 31 · 2013: 34 · 2012: 22
- FWCI
- 25.71
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical Review B (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- Funders
- Canadian Institute for Advanced Research
- Fonds Québécois de la Recherche sur la Nature et les Technologies
- Natural Sciences and Engineering Research Council of Canada
- 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
- pyrochlore iridates, interacting electrons, spin-orbit coupling, quantum phase transitions, topological insulators, Weyl semimetals, magnetic ground state, pyrochlore lattice
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