Skip to main content

Strongly Correlated Metal Built from Sachdev-Ye-Kitaev Models

Cornell Affiliated Author(s)

Author

Xue-Yang Song
Chao-Ming Jian
Leon Balents

Abstract

Prominent systems like the high-Tc 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≡(κÏ/T) varies between two universal values as a function of temperature. Our work exemplifies an analytically controlled study of a strongly correlated metal. © 2017 American Physical Society.

Date Published

Journal

Physical Review Letters

Volume

119

Issue

21

URL

https://www.scopus.com/inward/record.uri?eid=2-s2.0-85036467947&doi=10.1103%2fPhysRevLett.119.216601&partnerID=40&md5=c0e9c951d80a118915ae045300699812

DOI

10.1103/PhysRevLett.119.216601

Group (Lab)

Chao-Ming Jian Group

Funding Source

0960316
1121053
1125915
PHY-1125915
W911-NF-14-1-0379
GBMF4034
DE-FG02-08ER46524
CNS-0960316
DMR-1121053

Download citation