Quadratic Fermi node in a 3D strongly correlated semimetal
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Strong spin–orbit coupling fosters exotic electronic states such as topological insulators and superconductors, but the combination of strong spin–orbit and strong electron–electron interactions is just beginning to be understood. Central to this emerging area are the 5 d transition metal iridium oxides. Here, in the pyrochlore iridate Pr 2 Ir 2 O 7 , we identify a non-trivial state with a single-point Fermi node protected by cubic and time-reversal symmetries, using a combination of angle-resolved photoemission spectroscopy and first-principles calculations. Owing to its quadratic dispersion, the unique coincidence of four degenerate states at the Fermi energy, and strong Coulomb interactions, non-Fermi liquid behaviour is predicted, for which we observe some evidence. Our discovery implies that Pr 2 Ir 2 O 7 is a parent state that can be manipulated to produce other strongly correlated topological phases, such as topological Mott insulator, Weyl semimetal, and quantum spin and anomalous Hall states.
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The 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 Kondo et al., 2015
In A=Pr, a quadratic band touching has been found in recent experiments.
“In A=Pr, which remains a nonmagnetic metal down to low temperatures (Machida et al. , 2010; Nakatsuji et al. , 2006), a quadratic band touching has been found recent experiments (Kondo et al. , 2015)”
From Weyl and Dirac semimetals in three-dimensional solids (2018) · cites this paper as Kondo et al., 2015
ARPES has shown that the pyrochlore oxide Pr2Ir2O7 possesses a QBT.
“It has recently been shown by ARPES (Kondo et al. , 2015) that the pyrochlore oxide Pr 2 Ir 2 O 7 (Balicas et al. , 2011; Machida et al. , 2007; Tokiwa et al. , 2014) possesses a QBT (Fig. 37).”
From Weyl and Dirac semimetals in three-dimensional solids (2018) · cites this paper as Kondo et al., 2015
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Cites
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
Topological Insulators in Three Dimensions
Fu, L., Kane, C. L., & Mele, E. J. (2007) · Physical Review Letters · doi:10.1103/physrevlett.98.106803 · Cited by 4,651 · see citing works
Topological Insulator Materials
Ando, Y. (2013) · Journal of the Physical Society of Japan · doi:10.7566/jpsj.82.102001 · Cited by 1,789 · 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
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Research works printed but not linked: 31
- Moore J. E. & Balents L. Topological invariants of time-reversal-invariant band structures. Phys. Rev. B 75, 121306 (2007).
- Kim B. et al. Novel Jeff=1/2 Mott state induced by relativistic spin-orbit coupling in Sr2IrO4. Phys. Rev. Lett. 101, 076402 (2008). 18764560
- Machida Y., Nakatsuji S., Onoda S., Tayama T. & Sakakibara T. Time-reversal symmetry breaking and spontaneous Hall effect without magnetic dipole order. Nature 463, 210– 213 (2009). 20010605
- Witczak-Krempa W. & Kim Y. B. Topological and magnetic phases of interacting electrons in the pyrochlore iridates. Phys. Rev. B 85, 045124 (2012).
- Guo H.-M. & Franz M. Three-dimensional Topological Insulators on the Pyrochlore Lattice. Phys. Rev. Lett. 103, 206805 (2009). 20366001
- Matsuhira K. et al. Metal-insulator transition in pyrochlore iridates Ln2Ir2O7 (Ln=Nd, Sm, and Eu). J. Phys. Soc. Jpn 76, 043706 (2007).
- Nakatsuji S. et al. Metallic spin-liquid behavior of the geometrically frustrated Kondo lattice Pr2Ir2O7. Phys. Rev. Lett. 96, 087204 (2006). 16606220
- Machida Y. et al. Unconventional anomalous Hall effect enhanced by a noncoplanar spin texture in the frustrated Kondo lattice Pr2Ir2O7. Phys. Rev. Lett. 98, 057203 (2007). 17358893
- Tokiwa Y., Ishikawa J. J., Nakatsuji S. & Gegenwart P. Quantum criticality in a metallic spin liquid. Nat. Mater. 13, 356– 359 (2014). 24651428
- Sun K., Yao H., Fradkin E. & Kivelson S. A. Topological insulators and nematic phases from spontaneous symmetry breaking in 2D Fermi systems with a quadratic band crossing. Phys. Rev. Lett. 103, 046811 (2009). 19659389
- Bernevig B. A., Hughes T. L. & Zhang S.-C. Quantum spin Hall effect and topological phase transition in HgTe quantum wells. Science 314, 1757– 1761 (2006). 17170299
- Brüne C. et al. Quantum Hall effect from the topological surface states of strained bulk HgTe. Phys. Rev. Lett. 106, 126803 (2011). 21517339
- Zaheer S. et al. Spin texture on the Fermi surface of tensile-strained HgTe. Phys. Rev. B 87, 045202 (2013).
- Kiss T. et al. A versatile system for ultrahigh resolution, low temperature, and polarization dependent Laser-angle-resolved photoemission spectroscopy. Rev. Sci. Instrum. 79, 023106– 023106 (2008). 18315282
- Kimura S.-I. et al. SAMRAI: a novel variably polarized angle-resolved photoemission beamline in the VUV region at UVSOR-II. Rev. Sci. Instrum. 81, 053104– 053104 (2010). 20515121
- Varma C. M., Littlewood P. B., Schmitt-Rink S., Abrahams E. & Ruckenstein A. E. Phenomenology of the normal state of Cu-O high-temperature superconductors. Phys. Rev. Lett. 63, 1996– 1999 (1989). 10040734
- Kondo T., Takeuchi T., Tsuda S. & Shin S. Electrical resistivity and scattering processes in (Bi,Pb)2(Sr,La)2CuO6 + δ studied by angle-resolved photoemission spectroscopy. Phys. Rev. B 74, 224511 (2006).
- King P. D. C. et al. Spectroscopic indications of polaronic behavior of the strong spin-orbit insulator Sr3Ir2O7. Phys. Rev. B 87, 241106 (2013).
- Shen K. M. et al. Missing quasiparticles and the chemical potential puzzle in the doping evolution of the cuprate superconductors. Phys. Rev. Lett. 93, 267002 (2004). 15698008
- Savary L., Moon E.-G. & Balents L. New type of quantum criticality in the pyrochlore iridates. Phys. Rev. X 4, 041027 (2014).
- Balicas L., Nakatsuji S., Machida Y. & Onoda S. Anisotropic hysteretic Hall effect and magnetic control of chiral domains in the chiral spin states of Pr2Ir2O7. Phys. Rev. Lett. 106, 217204 (2011). 21699337
- Baum Y. & Stern A. Magnetic instability on the surface of topological insulators. Phys. Rev. B 85, 121105 (2012).
- Xu C. Time-reversal symmetry breaking at the edge states of a three-dimensional topological band insulator. Phys. Rev. B 81, 020411 (2010).
- Wang C., Potter A. C. & Senthil T. Gapped symmetry preserving surface state for the electron topological insulator. Phys. Rev. B 88, 115137 (2013).
- Metlitski M. A., Kane C. L. & Fisher M. P. A. Symmetry-respecting topologically ordered surface phase of three-dimensional electron topological insulators. Phys. Rev. B 92, 125111 (2015).
- Chen X., Fidkowski L. & Vishwanath A. Symmetry enforced non-Abelian topological order at the surface of a topological insulator. Phys. Rev. B 89, 165132 (2014).
- Bonderson P., Nayak C. & Qi X.-L. A time-reversal invariant topological phase at the surface of a 3D topological insulator. J. Stat. Mech. 2013, 09016 (2013).
- Tran F. & Blaha P. Accurate band gaps of semiconductors and insulators with a semilocal exchange-correlation potential. Phys. Rev. Lett. 102, 226401 (2009). 19658882
- Koller D., Tran F. & Blaha P. Merits and limits of the modified Becke-Johnson exchange potential. Phys. Rev. B 83, 195134 (2011).
- Feng W., Xiao D., Zhang Y. & Yao Y. Half-Heusler topological insulators: a first-principles study with the Tran-Blaha modified Becke-Johnson density functional. Phys. Rev. B 82, 235121 (2010).
- Ishii F. et al. First-principles study on cubic pyrochlore iridates Y2Ir2O7 and Pr2Ir2O7. J. Phys. Soc. Jpn 84, 073703 (2015).
Cited by
Sorted by citations
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Self-citationWeyl and Dirac Semimetals in Three Dimensional Solids
Armitage, N. P., Mele, E. J., & Vishwanath, A. (2017) · arXiv
“22, one can see represen- tative ARPES data for TaAs (Belopolski et al., 2016c).”
BackgroundInfluential
- Authors
- Kondo, T., Nakayama, M., Chen, R., Ishikawa, J. J., Moon, E.-G., Yamamoto, T., Ota, Y., Malaeb, W., Kanai, H., Nakashima, Y., Ishida, Y., Yoshida, R., Yamamoto, H., Matsunami, M., Kimura, S., Inami, N., Ono, K., Kumigashira, H., Nakatsuji, S., Balents, L., & Shin, S.
- Affiliations
- The University of Tokyo (JP)
- Lawrence Berkeley National Laboratory (US)
- University of California, Santa Barbara (US)
- Beirut Arab University (LB)
- Institute for Molecular Science (JP)
- High Energy Accelerator Research Organization (JP)
- Japan Science and Technology Agency (JP)
- Kavli Institute for Theoretical Physics (US)
- Corresponding author
- Kondo, Takeshi
- ORCID
- Venue
- Nature Communications
- Published
- 2015-12-07
- Volume
- 6
- Issue
- 1
- Pages
- 10042-10042
- ISSN
- 2041-1723 (ISSN-L)
- PMC
- PMC4686656
- OpenAlex
- W1890616858
- Cited by
- 190
- References
- 4
- Citations by year
- 2026: 5 · 2025: 16 · 2024: 20 · 2023: 13 · 2022: 15 · 2021: 24 · 2020: 26 · 2019: 19 · 2018: 17 · 2017: 17 · 2016: 17 · 2015: 1
- FWCI
- 8.81
- Type
- journal article
- Language
- en
- Open access
- gold
- doi.org
- Locations
- Nature Communications (publishedVersion, cc-by)
- Europe PMC (PubMed Central) (publishedVersion, cc-by)
- PubMed Central (publishedVersion, cc-by)
- PubMed (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information) (submittedVersion, cc-by)
- RePEc: Research Papers in Economics (submittedVersion)
- Institutional Repositories DataBase (IRDB) (submittedVersion)
- arXiv (Cornell University)
- Funders
- National Science Foundation (1121053)
- U.S. Department of Energy (DE‐FG02‐, DEFG0208ER46524, FG02-08ER46524)
- Ministry of Education, Culture, Sports, Science and Technology (R2604, 15H05882)
- University of Tokyo
- Materials Research Science and Engineering Center, Harvard University (1121053, DMR-1121053)
- Japan Society for the Promotion of Science (15H05883, R2604, 25287095, 25220707, 15H03676, 15H05882, 24740218, 25707030)
- Japan Science and Technology Agency (R2604, 25707030, 15H05882)
- Division of Materials Research (DMR 1121053, 1121053)
- Precursory Research for Embryonic Science and Technology
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Topological Materials and Phenomena
- Physical Sciences › Physics and Astronomy › Condensed Matter Physics › Advanced Condensed Matter Physics
- Physical Sciences › Physics and Astronomy › Condensed Matter Physics › Physics of Superconductivity and Magnetism
- Keywords
- quadratic dispersion, Pr2Ir2O7, pyrochlore iridates, spin-orbit coupling, electron-electron interaction, non-Fermi liquid, topological Mott insulator, Weyl semimetals, time-reversal symmetry, cubic symmetry
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