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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

The Sachdev-Ye-Kitaev model is an $N$-modes fermionic model with infinite range random interactions. In this work, we study the thermal R\'enyi entropy for a subsystem of the SYK model using the path-integral formalism in the large-$N$…

Strongly Correlated Electrons · Physics 2020-07-01 Pengfei Zhang , Chunxiao Liu , Xiao Chen

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

Several condensed-matter platforms have been proposed recently to realize the Sachdev-Ye-Kitaev (SYK) model in their low-energy limit. In these proposed realizations, the characteristic SYK behavior is expected to occur under certain…

Strongly Correlated Electrons · Physics 2018-06-18 Étienne Lantagne-Hurtubise , Chengshu Li , Marcel Franz

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

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

The Sachdev-Ye-Kitaev (SYK) model, has emerged as a powerful tool for exploring the quantum nature of black holes, particularly their residual entropy at zero temperature. In this work, we investigate the role of long-range interactions in…

Strongly Correlated Electrons · Physics 2024-12-11 Andrea Solfanelli , Francesco Petocchi , Nicolò Defenu

Random spin systems at low temperatures are glassy and feature computational hardness in finding low-energy states. We study the random all-to-all interacting fermionic Sachdev--Ye--Kitaev (SYK) model and prove that, in contrast, (I) the…

Quantum Physics · Physics 2024-11-06 Eric R. Anschuetz , Chi-Fang Chen , Bobak T. Kiani , Robbie King

The shear viscosity is an important characterization of how a many-body system behaves like a fluid. We study the shear viscosity in a strongly interacting solvable model, consisting of coupled Sachdev-Ye-Kitaev (SYK) islands. As…

High Energy Physics - Theory · Physics 2020-07-01 Xian-Hui Ge , Shao-Kai Jian , Yi-Li Wang , Zhuo-Yu Xian , Hong Yao

We study thermalization dynamics in a fermion-phonon variant of the Sachdev-Ye-Kitaev model coupled to an external cold thermal bath of harmonic oscillators. We find that quantum critical fermions thermalize more efficiently than phonons,…

Strongly Correlated Electrons · Physics 2023-10-02 Hossein Hosseinabadi , Shane P. Kelly , Jörg Schmalian , Jamir Marino

We consider the Sachdev-Ye-Kitaev (SYK) model as an effective theory arising at the zero-dimensional boundary of a many-body localized, Fermionic symmetry protected topological (SPT) phase in one spatial dimension. The Fermions at the…

Strongly Correlated Electrons · Physics 2017-04-05 Yi-Zhuang You , Andreas W. W. Ludwig , Cenke Xu

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 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

Electronic transport in nano-structures, such as long molecules or 2D exfoliated flakes, often goes through a nearly degenerate set of single-particle orbitals. Here we show that in such cases a conspiracy of the narrow band and strong e-e…

Strongly Correlated Electrons · Physics 2020-03-06 Alexander Altland , Dmitry Bagrets , Alex Kamenev

The out of equilibrium dynamics of the Sachdev-Ye-Kitaev model (SYK), comprising $N$ Majoranas with random all-to-all four-body interactions, minimally coupled to a Markovian bath modeled by the Lindblad formalism, displays intriguing…

Quantum Physics · Physics 2025-10-20 Jie-ping Zheng , Jorge Dukelsky , Rafael A. Molina , Antonio M. García-García

We show that the low temperature phase of a conjugate pair of uncoupled, quantum chaotic, nonhermitian systems such as the Sachdev-Ye-Kitaev (SYK) model or the Ginibre ensemble of random matrices are dominated by replica symmetry breaking…

High Energy Physics - Theory · Physics 2021-02-22 Antonio M. García-García , Yiyang Jia , Dario Rosa , Jacobus J. M. Verbaarschot

In this letter we construct a large-N exactly solvable model to study the interplay between interaction and topology, by connecting Sacheve-Ye-Kitaev (SYK) model with constant hopping. The hopping forms a band structure that can exhibit…

Strongly Correlated Electrons · Physics 2018-05-30 Pengfei Zhang , Hui Zhai

We address the key open problem of a higher dimensional generalization of the Sachdev-Ye-Kitaev (SYK) model. We construct a model on a lattice of SYK dots with non-random intersite hopping. The crucial feature of the resulting band…

Strongly Correlated Electrons · Physics 2018-06-20 Arijit Haldar , Sumilan Banerjee , Vijay B. Shenoy

Periodically driven quantum matter can realize exotic dynamical phases. In order to understand how ubiquitous and robust these phases are, it is pertinent to investigate the heating dynamics of generic interacting quantum systems. Here we…

Strongly Correlated Electrons · Physics 2020-03-31 Clemens Kuhlenkamp , Michael Knap

Sachdev-Ye-Kitaev (SYK) or embedded random ensembles are models of $N$ fermions with random k-body interactions. They play an important role in understanding black hole dynamics, quantum chaos, and thermalization. We study out of…

High Energy Physics - Theory · Physics 2018-07-18 Javier M. Magan