Linear resistivity and Sachdev-Ye-Kitaev (SYK) spin liquid behavior in a quantum critical metal with spin-1/2 fermions
Abstract
“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.
- Authors:
-
[2];
[4];
[1]
- Department of Physics, Cornell University, Ithaca, NY 14853,
- Center for Computational Quantum Physics, The Flatiron Institute, New York, NY, 10010,
- Center for Computational Quantum Physics, The Flatiron Institute, New York, NY, 10010,, Université Paris-Saclay, CNRS, CEA, Institut de physique théorique, 91191, Gif-sur-Yvette, France,
- Center for Computational Quantum Physics, The Flatiron Institute, New York, NY, 10010,, Collège de France, 75005 Paris, France,, Centre de Physique Théorique, Ecole Polytechnique, CNRS, 91128 Palaiseau Cedex, France,, Department of Quantum Matter Physics, University of Geneva, 1211 Geneva 4, Switzerland
- Publication Date:
- Research Org.:
- Cornell Univ., Ithaca, NY (United States)
- Sponsoring Org.:
- USDOE; USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division (MSE)
- OSTI Identifier:
- 1642250
- Alternate Identifier(s):
- OSTI ID: 1733305; OSTI ID: 2322525
- Grant/Contract Number:
- SC0018946
- Resource Type:
- Published Article
- Journal Name:
- Proceedings of the National Academy of Sciences of the United States of America
- Additional Journal Information:
- Journal Name: Proceedings of the National Academy of Sciences of the United States of America Journal Volume: 117 Journal Issue: 31; Journal ID: ISSN 0027-8424
- Publisher:
- Proceedings of the National Academy of Sciences
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Planckian metals; strange metals; marginal Fermi liquid; Sachdev-Ye-Kitaev models; cuprate superconductors
Citation Formats
Cha, Peter, Wentzell, Nils, Parcollet, Olivier, Georges, Antoine, and Kim, Eun-Ah. Linear resistivity and Sachdev-Ye-Kitaev (SYK) spin liquid behavior in a quantum critical metal with spin-1/2 fermions. United States: N. p., 2020.
Web. doi:10.1073/pnas.2003179117.
Cha, Peter, Wentzell, Nils, Parcollet, Olivier, Georges, Antoine, & Kim, Eun-Ah. Linear resistivity and Sachdev-Ye-Kitaev (SYK) spin liquid behavior in a quantum critical metal with spin-1/2 fermions. United States. https://doi.org/10.1073/pnas.2003179117
Cha, Peter, Wentzell, Nils, Parcollet, Olivier, Georges, Antoine, and Kim, Eun-Ah. Wed .
"Linear resistivity and Sachdev-Ye-Kitaev (SYK) spin liquid behavior in a quantum critical metal with spin-1/2 fermions". United States. https://doi.org/10.1073/pnas.2003179117.
@article{osti_1642250,
title = {Linear resistivity and Sachdev-Ye-Kitaev (SYK) spin liquid behavior in a quantum critical metal with spin-1/2 fermions},
author = {Cha, Peter and Wentzell, Nils and Parcollet, Olivier and Georges, Antoine and Kim, Eun-Ah},
abstractNote = {“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.},
doi = {10.1073/pnas.2003179117},
journal = {Proceedings of the National Academy of Sciences of the United States of America},
number = 31,
volume = 117,
place = {United States},
year = {Wed Jul 22 00:00:00 EDT 2020},
month = {Wed Jul 22 00:00:00 EDT 2020}
}
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