Journal
PHYSICAL REVIEW B
Volume 98, Issue 7, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.98.075150
Keywords
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Funding
- National Science Foundation [DMR-1664842]
- Government of Canada through Industry Canada
- Province of Ontario through the Ministry of Research and Innovation
- Cenovus Energy at Perimeter Institute
- Gordon and Betty Moore Foundation EPiQS Initiative [GBMF-4306]
- MURI from ARO [W911NF-14-1-0003]
- 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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