Linear resistivity and Sachdev-Ye-Kitaev (SYK) spin liquid behavior in a quantum critical metal with spin-1/2 fermions

“Strange metals” with resistivity depending linearly on temperature T down to low T have been a long-standing puzzle in condensed matter physics. Here, we consider a lattice model of itinerant spin-1=2 fermions interacting via onsite Hubbard interaction and random infinite-ranged spin–spin interacti...

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Bibliographic Details
Published in:Proceedings of the National Academy of Sciences - PNAS 2020-08, Vol.117 (31), p.18341-18346
Main Authors: Cha, Peter, Wentzell, Nils, Parcollet, Olivier, Georges, Antoine, Kim, Eun-Ah
Format: Article
Language:English
Subjects:
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
Condensed matter physics
Critical point
cuprate superconductors
Electrical resistivity
Electron spin
Fermi liquids
Fermions
Frequency dependence
marginal Fermi liquid
Metals
Phenomenology
Physical Sciences
Physics
Planckian metals
Sachdev-Ye-Kitaev models
Spin dynamics
Spin glasses
Spin liquid
strange metals
Syk protein
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Summary:“Strange metals” with resistivity depending linearly on temperature T down to low T have been a long-standing puzzle in condensed matter physics. Here, we consider a lattice model of itinerant spin-1=2 fermions interacting via onsite Hubbard interaction and random infinite-ranged spin–spin interaction.We show that the quantum critical point associated with the melting of the spin-glass phase by charge fluctuations displays non-Fermi liquid behavior, with local spin dynamics identical to that of the Sachdev-Ye-Kitaev family of models. This extends the quantum spin liquid dynamics previously established in the large-M limit of SU(M) symmetric models to models with physical SU(2) spin-1/2 electrons. Remarkably, the quantum critical regime also features a Planckian linear-T resistivity associated with a T-linear scattering rate and a frequency dependence of the electronic self-energy consistent with the marginal Fermi liquid phenomenology.
ISSN:0027-8424
1091-6490
DOI:10.1073/pnas.2003179117