Strongly Correlated Metal Built from Sachdev-Ye-Kitaev Models
Prominent systems like the high-T_{c} cuprates and heavy fermions display intriguing features going beyond the quasiparticle description. The Sachdev-Ye-Kitaev (SYK) model describes a (0+1)D quantum cluster with random all-to-all four-fermion interactions among N fermion modes which becomes exactly...
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| Published in | Physical review letters Vol. 119; no. 21; p. 216601 |
|---|---|
| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
United States
20.11.2017
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| Online Access | Get more information |
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| Abstract | Prominent systems like the high-T_{c} cuprates and heavy fermions display intriguing features going beyond the quasiparticle description. The Sachdev-Ye-Kitaev (SYK) model describes a (0+1)D quantum cluster with random all-to-all four-fermion interactions among N fermion modes which becomes exactly solvable as N→∞, exhibiting a zero-dimensional non-Fermi-liquid with emergent conformal symmetry and complete absence of quasiparticles. Here we study a lattice of complex-fermion SYK dots with random intersite quadratic hopping. Combining the imaginary time path integral with real time path integral formulation, we obtain a heavy Fermi liquid to incoherent metal crossover in full detail, including thermodynamics, low temperature Landau quasiparticle interactions, and both electrical and thermal conductivity at all scales. We find linear in temperature resistivity in the incoherent regime, and a Lorentz ratio L≡(κρ/T) varies between two universal values as a function of temperature. Our work exemplifies an analytically controlled study of a strongly correlated metal. |
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| AbstractList | Prominent systems like the high-T_{c} cuprates and heavy fermions display intriguing features going beyond the quasiparticle description. The Sachdev-Ye-Kitaev (SYK) model describes a (0+1)D quantum cluster with random all-to-all four-fermion interactions among N fermion modes which becomes exactly solvable as N→∞, exhibiting a zero-dimensional non-Fermi-liquid with emergent conformal symmetry and complete absence of quasiparticles. Here we study a lattice of complex-fermion SYK dots with random intersite quadratic hopping. Combining the imaginary time path integral with real time path integral formulation, we obtain a heavy Fermi liquid to incoherent metal crossover in full detail, including thermodynamics, low temperature Landau quasiparticle interactions, and both electrical and thermal conductivity at all scales. We find linear in temperature resistivity in the incoherent regime, and a Lorentz ratio L≡(κρ/T) varies between two universal values as a function of temperature. Our work exemplifies an analytically controlled study of a strongly correlated metal. |
| Author | Balents, Leon Song, Xue-Yang Jian, Chao-Ming |
| Author_xml | – sequence: 1 givenname: Xue-Yang surname: Song fullname: Song, Xue-Yang organization: Kavli Institute of Theoretical Physics, University of California, Santa Barbara, California 93106, USA – sequence: 2 givenname: Chao-Ming surname: Jian fullname: Jian, Chao-Ming organization: Station Q, Microsoft Research, Santa Barbara, California 93106-6105, USA – sequence: 3 givenname: Leon surname: Balents fullname: Balents, Leon organization: Kavli Institute of Theoretical Physics, University of California, Santa Barbara, California 93106, USA |
| BackLink | https://www.ncbi.nlm.nih.gov/pubmed/29219415$$D View this record in MEDLINE/PubMed |
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