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Strongly correlated metals comprise an enduring puzzle at the heart of condensed matter physics. Commonly a highly renormalized heavy Fermi liquid occurs below a small coherence scale, while at higher temperatures a broad incoherent regime…

Strongly Correlated Electrons · Physics 2017-11-29 Xue-Yang Song , Chao-Ming Jian , Leon Balents

We describe the non-equilibrium dynamics of the Sachdev-Ye-Kitaev models of fermions with all-to-all interactions. These provide tractable models of the dynamics of quantum systems without quasiparticle excitations. The Kadanoff-Baym…

Strongly Correlated Electrons · Physics 2017-11-22 Andreas Eberlein , Valentin Kasper , Subir Sachdev , Julia Steinberg

We study the nonequilibrium quench dynamics of a mixed Sachdev-Ye-Kitaev model, with competing two bodies random interactions leading to maximally chaotic Non-Fermi Liquid dynamics and a single body term which dominates at low temperatures…

Strongly Correlated Electrons · Physics 2022-06-22 Ancel Larzul , Marco Schiró

We propose an extension of the Sachdev-Ye-Kitaev (SYK) model that exhibits a quantum phase transition from the previously identified non-Fermi liquid fixed point to a Fermi liquid like state, while still allowing an exact solution in a…

Strongly Correlated Electrons · Physics 2017-04-21 Sumilan Banerjee , Ehud Altman

Abstract We study a two-band dispersive Sachdev-Ye-Kitaev (SYK) model in 1 + 1 dimension. We suggest a model that describes a semimetal with quadratic dispersion at half-filling. We compute the Green's function at the saddle point using a…

Strongly Correlated Electrons · Physics 2022-04-05 Geo Jose , Kangjun Seo , Bruno Uchoa

In this paper, we study the evaporation dynamics of the Sachdev-Ye-Kitaev (SYK) model, with an initial temperature $T_\chi$, by coupling it to a thermal bath with lower temperature $T_\psi<T_\chi$ modeled by a larger SYK model. The coupling…

Strongly Correlated Electrons · Physics 2019-12-11 Pengfei Zhang

Sachdev-Ye-Kitaev (SYK) is a concrete solvable model with non-Fermi liquid behavior and maximal chaos. In this work, we study the entanglement R\'enyi entropy for the subsystems of the SYK model in the Kourkoulou-Maldacena states. We use…

High Energy Physics - Theory · Physics 2020-11-05 Pengfei Zhang

We study a description of the large N limit of the Sachdev-Ye-Kitaev (SYK) model in terms of quantum mechanics without quenched disorder. Instead of random couplings, we introduce massive scalar fields coupled to fermions, and study a small…

High Energy Physics - Theory · Physics 2017-11-28 Takahiro Nishinaka , Seiji Terashima

We study the out-of-equilibrium dynamics of a Sachdev-Ye-Kitaev (SYK) model, $N$ fermions with a $q$-body interaction of infinite range, coupled to a Markovian environment. Close to the infinite-temperature steady state, the real-time…

High Energy Physics - Theory · Physics 2023-05-05 Antonio M. García-García , Lucas Sá , Jacobus J. M. Verbaarschot , Jie Ping Zheng

We study a simplified version of the Sachdev-Ye-Kitaev (SYK) model with real interactions by exact diagonalization. Instead of satisfying a continuous Gaussian distribution, the interaction strengths are assumed to be chosen from discrete…

Disordered Systems and Neural Networks · Physics 2020-09-07 Ye Cao , Yi-Neng Zhou , Ting-Ting Shi , Wei Zhang

Sachdev-Ye-Kitaev (SYK) model, which describes $N$ randomly interacting Majorana fermions in 0+1 dimension, is found to be an solvable UV-complete toy model for holographic duality in nearly AdS$_2$ dilaton gravity. Ref. [1] proposed a…

High Energy Physics - Theory · Physics 2020-06-24 Xiao-Liang Qi , Pengfei Zhang

We consider a recent proposal for a physical realization of the Sachdev-Ye-Kitaev (SYK) model in the zeroth-Landau-level sector of an irregularly-shaped graphene flake. We study in detail charge transport signatures of the unique non-Fermi…

Strongly Correlated Electrons · Physics 2019-01-21 Oguzhan Can , Emilian M. Nica , Marcel Franz

We investigate the thermalization of Sachdev-Ye-Kitaev (SYK) models coupled via random interactions following quenches from the perspective of entanglement. Previous studies have shown that when a system of two SYK models coupled by random…

Strongly Correlated Electrons · Physics 2022-01-25 Ramanjit Sohal , Laimei Nie , Xiao-Qi Sun , Eduardo Fradkin

We propose a simple solvable variant of the Sachdev-Ye-Kitaev (SYK) model which displays a quantum phase transition from a fast-scrambling non-Fermi liquid to disordered Fermi liquid. Like the canonical SYK model, our variant involves a…

Strongly Correlated Electrons · Physics 2019-07-24 Oguzhan Can , Marcel Franz

We study a series of perturbations on the Sachdev-Ye-Kitaev (SYK) model. We show that the chaotic non-Fermi liquid phase described by the ordinary $q = 4$ SYK model has marginally relevant/irrelevant (depending on the sign of the coupling…

Strongly Correlated Electrons · Physics 2017-05-05 Zhen Bi , Chao-Ming Jian , Yi-Zhuang You , Kelly Ann Pawlak , Cenke Xu

We study the thermodynamic properties of a two-site coupled complex Sachdev-Ye-Kitaev (SYK) model in the large $N$ limit by solving the saddle-point Schwinger-Dyson (SD) equations. We find that its phase diagram is richer than in the…

High Energy Physics - Theory · Physics 2021-06-02 Antonio M. García-García , Jie Ping Zheng , Vaios Ziogas

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, typical of the strange metal phase of High Temperature…

Strongly Correlated Electrons · Physics 2021-12-17 F. Salvati , A. Tagliacozzo

We analyze the phase diagram of the Yukawa-Sachdev-Ye-Kitaev model, which describes complex fermions randomly interacting with real bosons via a Yukawa coupling, at finite temperatures and varying fermion density. In a recent work [Phys.…

Strongly Correlated Electrons · Physics 2021-05-12 Wei Wang , Andrew Davis , Gaopei Pan , Yuxuan Wang , Zi Yang Meng

We investigate the non-equilibrium dynamics of complex Sachdev-Ye-Kitaev (SYK) models in the $q\rightarrow\infty$ limit, where $q/2$ denotes the order of the random Dirac fermion interaction. We extend previous results by Eberlein et al.…

Strongly Correlated Electrons · Physics 2022-02-17 Jan C. Louw , Stefan Kehrein

In this work, we study a generalization of the coupled Sachdev-Ye-Kitaev (SYK) model with $U(1)$ charge conservations. The model contains two copies of the complex SYK model at different chemical potentials, coupled by a direct hopping…

High Energy Physics - Theory · Physics 2020-11-30 Pengfei Zhang