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The Sachdev-Ye-Kitaev (SYK) model is zero-dimensional model simulating quantum chaos using interacting Majorana fermions.Previously proposals have been made to realize the SYK model in fermionic systems that can support majorana zero modes.…

强关联电子 · 物理学 2024-12-13 Han-yuan Zuo , Zheng-xin Liu

The Sachdev-Ye-Kitaev (SYK) model describes a collection of randomly interacting Majorana fermions that exhibits profound connections to quantum chaos and black holes. We propose a solid-state implementation based on a quantum dot coupled…

无序系统与神经网络 · 物理学 2017-10-04 Aaron Chew , Andrew Essin , Jason Alicea

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…

高能物理 - 理论 · 物理学 2025-07-16 Rishabh Jha

The Sachdev-Ye-Kitaev (SYK) model, in its simplest form, describes $k$ Majorana fermions with random all-to-all four-body interactions. We consider the SYK model in the framework of a many-body Altland-Zirnbauer classification that sees the…

无序系统与神经网络 · 物理学 2019-06-21 Jan Behrends , Jens H. Bardarson , Benjamin Béri

System of Majorana zero modes with random infinite range interactions -- the Sachdev-Ye-Kitaev (SYK) model -- is thought to exhibit an intriguing relation to the horizons of extremal black holes in two-dimensional anti-de Sitter (AdS$_2$)…

无序系统与神经网络 · 物理学 2017-07-18 D. I. Pikulin , M. Franz

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…

强关联电子 · 物理学 2022-12-06 Debanjan Chowdhury , Antoine Georges , Olivier Parcollet , Subir Sachdev

Quantum chaos is one of the distinctive features of the Sachdev-Ye-Kitaev (SYK) model, $N$ Majorana fermions in $0+1$ dimensions with infinite-range two-body interactions, which is attracting a lot of interest as a toy model for holography.…

高能物理 - 理论 · 物理学 2018-06-20 Antonio M. García-García , Bruno Loureiro , Aurelio Romero-Bermúdez , Masaki Tezuka

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…

高能物理 - 理论 · 物理学 2017-09-13 Yiming Chen , Hui Zhai , Pengfei Zhang

The search for a quantum theory of gravity has led to the discovery of quantum many-body systems that are dual to gravitational models with quantum properties. The perhaps most famous of these systems is the Sachdev-Ye-Kitaev (SYK) model.…

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…

强关联电子 · 物理学 2017-11-22 Xin Chen , Ruihua Fan , Yiming Chen , Hui Zhai , Pengfei Zhang

Understanding how quantum systems transition from integrable to fully chaotic behavior remains a central open problem in physics. The Sachdev--Ye--Kitaev (SYK) model provides a paradigmatic framework for studying many-body chaos and…

The Sachdev-Ye-Kitaev (SYK) model incorporates rich physics, ranging from exotic non-Fermi liquid states without quasiparticle excitations, to holographic duality and quantum chaos. However, its experimental realization remains a daunting…

量子物理 · 物理学 2019-06-25 Zhihuang Luo , Yi-Zhuang You , Jun Li , Chao-Ming Jian , Dawei Lu , Cenke Xu , Bei Zeng , Raymond Laflamme

We study a generalization of `Yukawa models' in which Majorana fermions, interacting via all-to-all random couplings as in the Sachdev-Ye-Kitaev (SYK) model, are parametrically coupled to disordered bosonic degrees of freedom described by a…

无序系统与神经网络 · 物理学 2026-04-20 Surajit Bera , Jorge Kurchan , Marco Schiro

We study a quantum mechanical model proposed by Sachdev, Ye and Kitaev. The model consists of $N$ Majorana fermions with random interactions of a few fermions at a time. It it tractable in the large $N$ limit, where the classical variable…

高能物理 - 理论 · 物理学 2016-11-09 Juan Maldacena , Douglas Stanford

The Sachdev-Ye-Kitaev (SYK) model has attracted widespread attention due to its relevance to diverse areas of physics, such as high temperature superconductivity, black holes, and quantum chaos. The model is, however, extremely challenging…

量子气体 · 物理学 2025-12-12 Charles Creffield , Fernando Sols , Marco Schirò , Nathan Goldman

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…

强关联电子 · 物理学 2019-07-24 Oguzhan Can , Marcel Franz

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…

强关联电子 · 物理学 2018-07-19 Chunxiao Liu , Xiao Chen , Leon Balents

The Sachdev-Ye-Kitaev (SYK) model describes a strongly correlated quantum system that shows a strong signature of quantum chaos. Due to its chaotic nature, the simulation of real-time dynamics becomes quickly intractable by means of…

量子物理 · 物理学 2026-03-17 Etienne Granet , Yuta Kikuchi , Henrik Dreyer , Enrico Rinaldi

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…

高能物理 - 理论 · 物理学 2020-03-24 Jan Behrends , Benjamin Béri

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…

高能物理 - 理论 · 物理学 2020-06-24 Xiao-Liang Qi , Pengfei Zhang
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