Translationally Invariant Non-Fermi-Liquid Metals with Critical Fermi Surfaces: Solvable Models
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PhysRevX.8.031024.pdf
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1.01 MB
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Author(s)
Werman, Yochai
Berg, Erez
Chowdhury, Debanjan
Senthil, T.
Date Issued
July 2018
Journal
Physical Review X
Publisher
American Physical Society
Citation
Chowdhury, Debanjan et al. "Translationally Invariant Non-Fermi-Liquid Metals with Critical Fermi Surfaces: Solvable Models." Physical Review X 8, 3 (July 2018): 031024
Version
Final published version
Abstract
We construct examples of translationally invariant solvable models of strongly correlated metals, composed of lattices of Sachdev-Ye-Kitaev dots with identical local interactions. These models display crossovers as a function of temperature into regimes with local quantum criticality and marginal-Fermi-liquid behavior. In the marginal-Fermi-liquid regime, the dc resistivity increases linearly with temperature over a broad range of temperatures. By generalizing the form of interactions, we also construct examples of non-Fermi liquids with critical Fermi surfaces. The self-energy has a singular frequency dependence but lacks momentum dependence, reminiscent of a dynamical mean-field-theory-like behavior but in dimensions d<∞. In the low-temperature and strong-coupling limit, a heavy Fermi liquid is formed. The critical Fermi surface in the non-Fermi-liquid regime gives rise to quantum oscillations in the magnetization as a function of an external magnetic field in the absence of quasiparticle excitations. We discuss the implications of these results for local quantum criticality and for fundamental bounds on relaxation rates. Drawing on the lessons from these models, we formulate conjectures on coarse-grained descriptions of a class of intermediate-scale non-Fermi-liquid behavior in generic correlated metals.
MIT Department
Massachusetts Institute of Technology. Department of Physics
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DOI of Published Version
https://doi.org/10.1103/PhysRevX.8.031024
