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Related papers: Quasiparticle tunnelling in two coupled chiral SYK…

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We study the generalization of the Sachdev-Ye-Kitaev (SYK) model to a $1+1$ dimensional chiral SYK model of $N$ flavors of right-moving chiral Majorana fermions with all-to-all random 4-fermion interactions. The interactions in this model…

High Energy Physics - Theory · Physics 2022-01-14 Biao Lian , S. L. Sondhi , Zhenbin Yang

The Sachdev-Ye-Kitaev (SYK) model describes interacting fermionic zero modes in zero spatial dimensions, e.g. quantum dot, with interactions strong enough to completely washout quasiparticle excitations in the infrared. In this paper, we…

Strongly Correlated Electrons · Physics 2021-09-21 Y. Cheipesh , A. I. Pavlov , V. Ohanesjan , K. Schalm , N. V. Gnezdilov

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 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

We investigate two sparse Sachdev-Ye-Kitaev (SYK) systems coupled by a bilinear term as a holographic quantum mechanical description of an eternal traversable wormhole in the low temperature limit. Each SYK system consists of $N$ Majorana…

High Energy Physics - Theory · Physics 2021-11-10 Elena Caceres , Anderson Misobuchi , Rafael Pimentel

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

The Sachdev-Ye-Kitaev (SYK) model describes a strongly correlated metal with all-to-all random interactions (average strength $J$) between $N$ fermions (complex Dirac fermions or real Majorana fermions). In the large-$N$ limit a conformal…

Mesoscale and Nanoscale Physics · Physics 2018-10-09 N. V. Gnezdilov , J. A. Hutasoit , C. W. J. Beenakker

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 use the Schwinger-Dyson equations in the presence of a thermal bath, in order to study chiral symmetry breaking in a system of massless Dirac fermions interacting through pseudo quantum electrodynamics (PQED3), in (2+1) dimensions. We…

High Energy Physics - Theory · Physics 2015-11-06 Leandro O. Nascimento , Van Sérgio Alves , Francisco Peña , C. Morais Smith , E. C. Marino

The Sachdev-Ye-Kitaev (SYK) model describes Majorana fermions with random interaction, which displays many interesting properties such as non-Fermi liquid behavior, quantum chaos, emergent conformal symmetry and holographic duality. Here we…

High Energy Physics - Theory · Physics 2017-09-13 Yiming Chen , Hui Zhai , Pengfei Zhang

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

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

It has been known that the large-$q$ complex SYK model falls under the same universality class as that of van der Waals (mean-field) and saturates the Maldacena-Shenker-Stanford bound, both features shared by various black holes. This makes…

High Energy Physics - Theory · Physics 2024-09-20 Jan C. Louw , Linda M. van Manen , Rishabh Jha

Inspired by recent developments in the study of the model of double scaled SYK (DSSYK), as elucidated in a recent paper, we embark on a re-evaluation of the Sachdev-Ye-Kitaev (SYK) model. Our motivation stems from the insights gained from…

High Energy Physics - Theory · Physics 2025-07-08 Davood Momeni

The Sachdev-Ye-Kitaev (SYK) model is a concrete solvable model to study non-Fermi liquid properties, holographic duality and maximally chaotic behavior. In this work, we consider a generalization of the SYK model that contains two SYK…

Strongly Correlated Electrons · Physics 2017-11-22 Xin Chen , Ruihua Fan , Yiming Chen , Hui Zhai , Pengfei Zhang

We present a review of the Sachdev-Ye-Kitaev (SYK) model of compressible quantum many-body systems without quasiparticle excitations, and its connections to various theoretical studies of non-Fermi liquids in condensed matter physics. The…

Strongly Correlated Electrons · Physics 2022-12-06 Debanjan Chowdhury , Antoine Georges , Olivier Parcollet , Subir Sachdev

The complex Sachdev-Ye-Kitaev (cSYK) model is a charge-conserving model of randomly interacting fermions. The interaction term can be chosen such that the model exhibits chiral symmetry. Then, depending on the charge sector and the number…

High Energy Physics - Theory · Physics 2020-03-24 Jan Behrends , Benjamin Béri

The traversable wormhole protocol in coupled Sachdev-Ye-Kitaev (SYK) systems produces a transmission signal C(t) widely interpreted as evidence of holographic dynamics. Recent work has questioned this interpretation, showing that similar…

Quantum Physics · Physics 2026-05-14 Sagar Dubey

The Sachdev-Ye-Kitaev (SYK) model, a theory of N Majorana fermions with q-body interactions, becomes in the large q limit a conformally-broken Liouville field theory. Taking this limit preserves many interesting properties of the model, yet…

High Energy Physics - Theory · Physics 2020-03-18 Alexandre Streicher

The Sachdev-Ye-Kitaev (SYK) model is a quantum mechanical model of fermions interacting with $q$-body random couplings. For $q=2$, it describes free particles, and is non-chaotic in the many-body sense, while for $q>2$ it is strongly…

Strongly Correlated Electrons · Physics 2018-07-19 Chunxiao Liu , Xiao Chen , Leon Balents
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