Correlation between phase stiffness and condensation energy across the non-Fermi to Fermi-liquid crossover in the Yukawa-Sachdev-Ye-Kitaev model on a lattice

D Valentinis, GA Inkof, J Schmalian - Physical Review Research, 2023 - APS
We construct and analyze a lattice generalization of the Yukawa-Sachdev-Ye-Kitaev model,
where spinful fermions experience onsite, random, all-to-all interactions with an Einstein …

Solvable model for a charge- superconductor

NV Gnezdilov, Y Wang - Physical Review B, 2022 - APS
A charge-4 e superconductor forms due to the condensation of quartets of electrons. While
in previous works, the mechanism for the formation of charge-4 e superconductivity has …

Superconductor-insulator transition in a non-Fermi liquid

AL Chudnovskiy, A Kamenev - Physical review letters, 2022 - APS
We present a model of a strongly correlated system with a non-Fermi liquid high temperature
phase. Its ground state undergoes an insulator to superconductor quantum phase transition …

Nematic phases and elastoresistivity from a multiorbital non-Fermi liquid

A Hardy, A Haldar… - Proceedings of the …, 2023 - National Acad Sciences
We propose and study a two-orbital lattice extension of the Sachdev-Ye-Kitaev model in the
large-N limit. The phase diagram of this model features a high-temperature isotropic non …

Orbital selective order and Potts nematicity from a non-Fermi liquid

YZ Xie, A Hardy, A Paramekanti - Physical Review B, 2024 - APS
Motivated by systems where a high-temperature non-Fermi liquid gives way to low-
temperature Z 3 Potts nematic order, we studied a three-orbital Sachdev-Ye-Kitaev (SYK) …

Superconductivity of non-Fermi liquids described by Sachdev-Ye-Kitaev models

C Li, S Sachdev, DG Joshi - Physical Review Research, 2023 - APS
We investigate models of electrons in the Sachdev-Ye-Kitaev class with random and all-to-
all electron hopping, electron spin exchange, and Cooper-pair hopping. An attractive on-site …

Nematic order in topological Sachdev-Ye-Kitaev models

A Hardy, A Bose, A Paramekanti - Physical Review B, 2023 - APS
We study a class of multiorbital models based on those proposed by Venderbos et al.[Phys.
Rev. B 98, 235160 (2018) 2469-9950 10.1103/PhysRevB. 98.235160] which exhibit an …

Pairing instabilities of the Yukawa-SYK models with controlled fermion incoherence

W Choi, O Tavakol, YB Kim - SciPost Physics, 2022 - scipost.org
The interplay of non-Fermi liquid and superconductivity born out of strong dynamical
interactions is at the heart of the physics of unconventional superconductivity. As a solvable …

Superconducting critical temperature in the extended diffusive Sachdev-Ye-Kitaev model

F Salvati, A Tagliacozzo - Physical Review Research, 2021 - APS
Models for strongly interacting fermions in disordered clusters forming an array, with electron
hopping between sites, reproduce the linear dependence on temperature of the resistivity …

Strange metal phase of disordered magic-angle twisted bilayer graphene at low temperatures: From flat bands to weakly coupled Sachdev-Ye-Kitaev bundles

C Wei, TA Sedrakyan - Physical Review B, 2023 - APS
We use stochastic expansion and exact diagonalization to study magic-angle twisted bilayer
graphene (TBG) on a disordered substrate. We show that the substrate-induced strong …