4.6 Article

Z2 fractionalized phases of a solvable disordered t-J model

期刊

PHYSICAL REVIEW B
卷 98, 期 7, 页码 -

出版社

AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.98.075150

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资金

  1. National Science Foundation [DMR-1664842]
  2. Government of Canada through Industry Canada
  3. Province of Ontario through the Ministry of Research and Innovation
  4. Cenovus Energy at Perimeter Institute
  5. Gordon and Betty Moore Foundation EPiQS Initiative [GBMF-4306]
  6. MURI from ARO [W911NF-14-1-0003]
  7. DOE [de-sc0007870]

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We describe the phases of a solvable t-J model of electrons with infinite-range, and random, hopping, and exchange interactions, similar to those in the Sachdev-Ye-Kitaev models. The electron fractionalizes, as in an orthogonal metal, into a fermion f, which carries both the electron spin and charge, and a boson phi. Both f and phi carry emergent Z(2) gauge charges. The model has a phase in which the phi bosons are gapped, and the f fermions are gapless and critical, and so the electron spectral function is gapped. This phase can be considered as a toy model for the underdoped cuprates, without spatial structure. The model also has an extended, critical, quasi-Higgs phase where both phi and f are gapless, and the electron operator similar to f phi has a Fermi liquid-like 1/tau propagator in imaginary time, tau. So while the electron spectral function has a Fermi liquid form, other properties are controlled by Z(2) fractionalization and the anomalous exponents of the f and phi excitations. This quasi-Higgs phase is proposed as a toy model of the overdoped cuprates. We also describe the critical state separating these two phases.

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