Cited by 60Topological Materials and PhenomenaAdvanced Condensed Matter PhysicsPhysics of Superconductivity and Magnetism

Dielectric anomalies and interactions in the three-dimensional quadratic band touching Luttinger semimetal Pr2Ir2O7

Open access
Cheng, Bing, Ohtsuki, T., Chaudhuri, Dipanjan, Nakatsuji, S., Lippmaa, Mikk, Armitage, N. P.·2017·Nature Communications

Abstract

Dirac and Weyl semimetals with linearly crossing bands are the focus of much recent interest in condensed matter physics. Although they host fascinating phenomena, their physics can be understood in terms of weakly interacting electrons. In contrast, more than 40 years ago, Abrikosov pointed out that quadratic band touchings are generically strongly interacting. We have performed terahertz spectroscopy on the films of the conducting pyrochlore Pr 2 Ir 2 O 7, which has been shown to host a quadratic band touching. A dielectric constant as large as $$\tilde{ \varepsilon} {\mathrm{/}}\epsilon _0 \sim 180$$ ε ̃ ∕ ϵ 0 ~ 180 is observed at low temperatures. In such systems, the dielectric constant is a measure of the relative scale of interactions, which are therefore in our material almost two orders of magnitude larger than the kinetic energy. Despite this, the scattering rate exhibits a T2 dependence, which shows that for finite doping a Fermi liquid state survives—however, with a scattering rate close to the maximal value allowed.

The claims and statistics of this paper haven’t been checked yet.

Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.

A few free checks a day · papers already verified open instantly · results are public

Integrity signals

Registry

Crossref · 10.1038/s41467-017-02121-y

Cites

4 of 4 references verified0 citation errors · 0 not checkable

Statistics

Claims the paper makes

The claims and statistics of this paper haven’t been checked yet.

Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.

A few free checks a day · papers already verified open instantly · results are public

Claims other papers make about this one

Each is checked against this paper’s own text: does it say what the citing paper says it does?

  • The dielectric constant in Pr2Ir2O7 becomes of order 200 at low temperatures.

    “Recent optics work on Pr 2 Ir 2 O 7 shows that the dielectric constant in this material becomes of order 200 at low temperatures demonstrating that this material is in the strongly interacting regime (Cheng et al. , 2017).”

    From Weyl and Dirac semimetals in three-dimensional solids (2018) · cites this paper as Cheng et al., 2017

  • Pr2Ir2O7 is in the strongly interacting regime.

    “Recent optics work on Pr 2 Ir 2 O 7 shows that the dielectric constant in this material becomes of order 200 at low temperatures demonstrating that this material is in the strongly interacting regime (Cheng et al. , 2017).”

    From Weyl and Dirac semimetals in three-dimensional solids (2018) · cites this paper as Cheng et al., 2017

Self-check

Percentages, sums and reported differences re-computed from the paper’s own numbers.

The self-check needs the paper’s full text.

Cites

Flagged first, then by citations

Research works printed but not linked: 25

  1. [1]Novoselov KS Electric field effect in atomically thin carbon films Science 2004 306 666 669 10.1126/science.1102896 15499015 · DOI · Paper page
  2. [3]Hasan MZ Moore JE Three-dimensional topological insulators Annu. Rev. Condens. Matter Phys. 2011 2 55 78 10.1146/annurev-conmatphys-062910-140432 · DOI · Paper page
  3. [5]Kotov VN Uchoa B Pereira VM Guinea F Castro Neto AH Electron-electron interactions in graphene: current status and perspectives Rev. Mod. Phys. 2012 84 1067 1125 10.1103/RevModPhys.84.1067 · DOI
  4. [6]Ohta T Bostwick A Seyller T Horn K Rotenberg E Controlling the electronic structure of bilayer graphene Science 2006 313 951 954 10.1126/science.1130681 16917057 · DOI
  5. [7]Murray JM Vafek O Excitonic and superconducting orders from repulsive interaction on the doped honeycomb bilayer Phys. Rev. B 2014 89 205119 10.1103/PhysRevB.89.205119 24766005 · DOI
  6. [8]Luttinger J Quantum theory of cyclotron resonance in semiconductors: general theory Phys. Rev. 1956 102 1030 1041 10.1103/PhysRev.102.1030 · DOI · Paper page
  7. [9]Bernevig BA Hughes TL Zhang SC Quantum spin Hall effect and topological phase transition in hgte quantum wells Science 2006 314 1757 1761 10.1126/science.1133734 17170299 · DOI · Paper page
  8. [10]Liu L Brust D Dielectric singularity of α-Sn Phys. Rev. 1968 173 777 780 10.1103/PhysRev.173.777 · DOI
  9. [11]Broerman JG Temperature dependence of the static dielectric constant of a symmetry-induced zero-gap semiconductor Phys. Rev. Lett. 1970 25 1658 1660 10.1103/PhysRevLett.25.1658 · DOI
  10. [12]Broerman J Random-phase-approximation dielectric function of α-Sn in the far infrared Phys. Rev. B 1972 5 397 408 10.1103/PhysRevB.5.397 · DOI
  11. [14]Abrikosov A Beneslavskii S Some properties of gapless semiconductors of the second kind J. Low Temp. Phys. 1971 5 141 154 10.1007/BF00629569 · DOI
  12. [17]Herbut IF Janssen L Topological mott insulator in three-dimensional systems with quadratic band touching Phys. Rev. Lett. 2014 113 106401 10.1103/PhysRevLett.113.106401 25238373 · DOI · Paper page
  13. [18]Janssen L Herbut IF Nematic quantum criticality in three-dimensional Fermi system with quadratic band touching Phys. Rev. B 2015 92 045117 10.1103/PhysRevB.92.045117 · DOI · Paper page
  14. [19]Lai, H.-H., Roy, B. & Goswami, P. Disordered and interacting parabolic semimetals in two and three dimensions. Preprint at http://arxiv.org/abs/1409.8675 (2014). · arXiv
  15. [20]Kondo T Quadratic fermi node in a 3D strongly correlated semimetal Nat. Commun. 2015 6 10042 10.1038/ncomms10042 26640114 PMC4686656 · DOI · Paper page
  16. [21]Nakatsuji S Metallic spin-liquid behavior of the geometrically Frustrated Kondo lattice Pr2Ir2O7 Phys. Rev. Lett. 2006 96 087204 10.1103/PhysRevLett.96.087204 16606220 · DOI
  17. [22]Machida Y Unconventional anomalous Hall effect enhanced by a noncoplanar spin texture in the Frustrated Kondo lattice Pr2Ir2O7 Phys. Rev. Lett. 2007 98 057203 10.1103/PhysRevLett.98.057203 17358893 · DOI
  18. [23]Machida Y Nakatsuji S Onoda S Tayama T Sakakibara T Time-reversal symmetry breaking and spontaneous Hall effect without magnetic dipole order Nature 2010 463 210 213 10.1038/nature08680 20010605 · DOI · Paper page
  19. [24]Wagner RJ Ewald A Free carrier reflectivity of gray tin single crystals J. Phys. Chem. Solids 1971 32 697 707 10.1016/S0022-3697(71)80410-9 · DOI · Paper page
  20. [25]Sushkov AB Optical evidence for a Weyl semimetal state in pyrochlore Eu2Ir2O7 Phys. Rev. B 2015 92 241108 10.1103/PhysRevB.92.241108 · DOI
  21. [26]Grynberg M Le Toullec R Balkanski M Dielectric function in HgTe between 8 and 300 °K Phys. Rev. B. 1974 9 517 526 10.1103/PhysRevB.9.517 · DOI · Paper page
  22. [27]Boettcher I Herbut IF Anisotropy induces non-Fermi-liquid behavior and nematic magnetic order in three-dimensional Luttinger semimetals Phys. Rev. B 2017 95 075149 10.1103/PhysRevB.95.075149 · DOI
  23. [28]Ohtsuki, T. et al. Spontaneous Hall effect induced by strain in Pr2Ir2O7 epitaxial thin films. Preprint at http://arxiv.org/abs/1711.07813 (2017). · arXiv
  24. [29]Laurita N Cheng B Barkhouser R Neumann V Armitage N A modified 8f geometry with reduced optical aberrations for improved time domain terahertz spectroscopy J. Infrared Millim. Terahertz Waves 2016 37 894 902 10.1007/s10762-016-0281-x · DOI
  25. [30]Cheng B Anomalous gap-edge dissipation in disordered superconductors on the brink of localization Phys. Rev. B 2016 93 180511(R) 10.1103/PhysRevB.93.180511 · DOI

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

    “Recent optics work on Pr2Ir2O7 shows that the dielectric constant in this material becomes of order 200 at low temperatures demonstrating that this material is in the strongly interacting regime (Cheng et al., 2017).”
    BackgroundSelf-citation
  • Weyl and Dirac Semimetals in Three Dimensional Solids

    Armitage, N. P., Mele, E. J., & Vishwanath, A. (2017) · arXiv

    “Recent optics work on Pr2Ir2O7 shows that the dielectric constant in this material becomes of order 200 at low temperatures demonstrating that this material is in the strongly interacting regime (Cheng et al., 2017).”
    BackgroundSelf-citation

Authors
Cheng, B., Ohtsuki, T., Chaudhuri, D., Nakatsuji, S., Lippmaa, M., & Armitage, N. P.
Affiliations
  • Johns Hopkins University (US)
  • The Institute for Solid State Physics, The University of Tokyo (JP)
  • Japan Science and Technology Agency (JP)
Corresponding author
Armitage, N. P.
Venue
Nature Communications
Published
2017-12-13
Volume
8
Issue
1
Pages
2097-2097
ISSN
2041-1723 (ISSN-L)
OpenAlex
W2773884445
Cited by
60
References
4
Citations by year
2025: 9 · 2024: 10 · 2023: 3 · 2022: 4 · 2021: 6 · 2020: 10 · 2019: 14 · 2018: 4
FWCI
3.76
Type
journal article
Language
en
Open access
Locations
  • Nature Communications (publishedVersion, cc-by)
  • PubMed Central (publishedVersion, cc-by)
  • PubMed (publishedVersion)
  • arXiv (Cornell University) (submittedVersion)
  • RePEc: Research Papers in Economics (submittedVersion)
  • DOAJ (DOAJ: Directory of Open Access Journals) (submittedVersion)
  • DOAJ (DOAJ: Directory of Open Access Journals) (submittedVersion, cc-by-sa)
  • arXiv (Cornell University)
  • APS March Meeting Abstracts
  • Bulletin of the American Physical Society
Funders
  • Gordon and Betty Moore Foundation (GBMF5305)
  • Japan Society for the Promotion of Science (26105001, 15H05882 and 15H05883, 15H05883, 15K21719, 26105002, R2604, CREST, 15H05882, 16H02209)
  • Japan Science and Technology Agency (CREST, R2604, 15H05883, 16H02209, 15H05882, 26105002)
  • Core Research for Evolutional Science and Technology (16H02209, 15H05882, 15H05883)
  • Army Research Office (W911NF-15-1-, W911NF, W911NF-15, W911NF-15-1-0560)
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 band touching, Pr2Ir2O7, pyrochlore, dielectric constant, dielectric anomaly, electron-electron interaction, terahertz spectroscopy, Fermi liquid, scattering rate, strongly correlated electrons

About these checks

Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.

Statistics and arithmetic are recomputed, not judged.

Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.

What counts as a claim ›How we measure confidence ›How we check this ›

Are you an author, or do you see a problem with this page? Request a review