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Related papers: Higher-dimensional SYK Non-Fermi Liquids at Lifshi…

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The Sachdev-Ye-Kitaev (SYK) model is a concrete model for non-Fermi Liquid with maximally chaotic behavior in $0+1$-$d$. In order to gain some insights into real materials in higher dimensions where fermions could hop between different…

Strongly Correlated Electrons · Physics 2017-11-29 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

A variety of exotic non-fermi liquid (NFL) states have been observed in many condensed matter systems, with different scaling relations between transport coefficients and temperature. The "standard" approach to studying these NFLs is by…

Strongly Correlated Electrons · Physics 2019-08-07 Xiao-Chuan Wu , Chao-Ming Jian , Cenke Xu

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

Many aspects of many-body localization (MBL) transitions remain elusive so far. Here, we propose a higher-dimensional generalization of the Sachdev-Ye-Kitaev (SYK) model and show that it exhibits a MBL transition. The model on a bipartite…

Strongly Correlated Electrons · Physics 2017-11-17 Shao-Kai Jian , Hong Yao

We study the thermalization, after sudden and slow quenches, of an interacting model having a quantum phase transition from a Sachdev-Ye-Kitaev (SYK) non-Fermi liquid (NFL) to a Fermi liquid (FL). The model has SYK fermions coupled to…

Strongly Correlated Electrons · Physics 2020-03-20 Arijit Haldar , Prosenjit Haldar , Surajit Bera , Ipsita Mandal , Sumilan Banerjee

Building upon techniques employed in the construction of the Sachdev-Ye-Kitaev (SYK) model, which is a solvable $0+1$ dimensional model of a non-Fermi liquid, we develop a solvable, infinite-ranged random-hopping model of fermions coupled…

Strongly Correlated Electrons · Physics 2018-09-20 Aavishkar A. Patel , Subir Sachdev

The 0+1-d Sachdev-Ye-Kitaev (SYK) fermionic model attracts nowadays a wide spread interest of the Condensed Matter community, as a benchmark toy model for strong electron correlation and non Fermi Liquid behavior. It is exactly solvable in…

Strongly Correlated Electrons · Physics 2022-04-06 A. Tagliacozzo

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

Understanding the behavior of non-Fermi liquids (NFLs) is an important topic in condensed matter physics. Here we introduce an exactly solvable multi-orbital model based on iron oxypnictides and the Hatsugai-Kohmoto model, and provide exact…

Strongly Correlated Electrons · Physics 2025-08-18 Hui Li , Run-Yu Chen , Wen-Yuan Liu , Yin Zhong , Hai-Qing Lin

We study the microscopic model of electrons in the partially-filled lowest Landau level interacting via the Coulomb potential by the diagrammatic theory within the GW approximation. In a wide range of filling fractions and temperatures, we…

Strongly Correlated Electrons · Physics 2025-07-09 Ben Currie , Evgeny Kozik

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

Inspired by the recent interest in the Sachdev-Ye-Kitaev (SYK) model we study a class of multi-flavored one- and two-band fermion systems with no bare dispersion. In contrast to the previous work on the SYK model that would routinely assume…

Strongly Correlated Electrons · Physics 2018-11-16 D. V. Khveshchenko

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

Many key features of the higher-dimensional Sachdev-Ye-Kitaev (SYK) model at {\it finite} $N$ remain unknown. Here we study the SYK chain consisting of $N$ ($N$$\ge$$2$) fermions per site with random interactions and hoppings between…

Strongly Correlated Electrons · Physics 2020-06-16 Xin Dai , Shao-Kai Jian , Hong Yao

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

The Sachdev-Ye-Kitaev (SYK) model provides an analytically tractable framework for exotic strongly correlated phases where conventional paradigms like Landau's Fermi liquid theory collapse. This review offers a pedagogical introduction to…

High Energy Physics - Theory · Physics 2025-07-16 Rishabh Jha

We construct examples of translationally invariant solvable models of strongly-correlated metals, composed of lattices of Sachdev-Ye-Kitaev dots with identical local interactions. These models display crossovers as a function of temperature…

Strongly Correlated Electrons · Physics 2018-07-27 Debanjan Chowdhury , Yochai Werman , Erez Berg , T. Senthil

Significant effort has been devoted to the study of "non-Fermi liquid" (NFL) metals: gapless conducting systems that lack a quasiparticle description. One class of NFL metals involves a finite density of fermions interacting with soft order…

Strongly Correlated Electrons · Physics 2019-09-04 Jeremias Aguilera Damia , Shamit Kachru , Srinivas Raghu , Gonzalo Torroba
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