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We study a class of multi-orbital models based on those proposed by Venderbos, Hu, and Kane which exhibit an interplay of topology, interactions, and fermion incoherence. In the non-interacting limit, these models exhibit trivial and Chern…

强关联电子 · 物理学 2024-02-19 Andrew Hardy , Anjishnu Bose , Arun Paramekanti

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…

强关联电子 · 物理学 2021-09-21 Y. Cheipesh , A. I. Pavlov , V. Ohanesjan , K. Schalm , N. V. Gnezdilov

We investigate the replica problem for Sachdev-Ye-Kitaev (SYK) models. First, we consider $n-$replicas of the non-supersymmetric SYK model, finding that this $n$-replica model is solvable only under specific conditions. We then introduce…

高能物理 - 理论 · 物理学 2025-08-14 Xian-Hui Ge , Chenhao Zhang

We study photonic signatures of symmetry broken and topological phases in a driven, dissipative circuit QED realization of spin-1/2 chains. Specifically, we consider the transverse-field XY model and a dual model with 3-spin interactions.…

量子物理 · 物理学 2016-08-03 Y. L. Dong , Titus Neupert , R. Chitra , Sebastian Schmidt

We describe a class of wormholes that generically become traversable after incorporating gravitational back-reaction from linear quantum fields satisfying appropriate (periodic or anti-periodic) boundary conditions around a non-contractible…

高能物理 - 理论 · 物理学 2019-08-12 Zicao Fu , Brianna Grado-White , Donald Marolf

We investigate the thermodynamics of a four-dimensional charged black hole in a finite cavity in asymptotically flat and asymptotically de Sitter space. In each case, we find a Hawking-Page-like phase transition between a black hole and a…

广义相对论与量子宇宙学 · 物理学 2010-04-28 S. Carlip , S. Vaidya

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…

强关联电子 · 物理学 2017-05-05 Zhen Bi , Chao-Ming Jian , Yi-Zhuang You , Kelly Ann Pawlak , Cenke Xu

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…

高能物理 - 理论 · 物理学 2017-11-28 Takahiro Nishinaka , Seiji Terashima

We show that a non-Hermitian two coupled Sachdev-Ye-Kitaev (SYK) model can provide thermodynamic structure equivalent to Hermitian two coupled SYK model. The energy spectrum, the entanglement degree of the ground states and the low energy…

高能物理 - 理论 · 物理学 2022-11-21 Wenhe Cai , Sizheng Cao , Xian-Hui Ge , Masataka Matsumoto , Sang-Jin Sin

The electron-electron and electron-phonon coupling in complex materials can be more complicated than simple density-density interactions, involving intertwined dynamics of spin, charge, and spatial symmetries. This motivates studying…

强关联电子 · 物理学 2024-04-16 Jagannath Sutradhar , Jonathan Ruhman , Avraham Klein

We study a model of $N$ fermions in a quantum dot, coupled to $M$ bosons by a disorder-induced complex Yukawa coupling (Yukawa-SYK model), in order to explore the interplay between non-Fermi liquid and superconductivity in a strongly…

强关联电子 · 物理学 2021-09-22 Laura Classen , Andrey Chubukov

We study the complex Sachdev-Ye-Kitaev (cSYK) numerically and investigate thermodynamic behavior of cSYK model across varying chemical potentials. We discover that the cSYK model remarkably mirrors the first-order phase transition seen in…

高能物理 - 理论 · 物理学 2025-01-03 Sizheng Cao , Xian-Hui Ge , Yi-Cheng Rui

The Sachdev-Ye-Kitaev (SYK) model attracts attention in the context of information scrambling, which represents delocalization of quantum information and is quantified by the out-of-time-ordered correlators (OTOC). The SYK model contains…

统计力学 · 物理学 2018-11-20 Eiki Iyoda , Hosho Katsura , Takahiro Sagawa

A time-reversal invariant Kitaev-type model is introduced in which spins (Dirac matrices) on the square lattice interact via anisotropic nearest-neighbor and next-nearest-neighbor exchange interactions. The model is exactly solved by…

强关联电子 · 物理学 2012-04-13 Ryota Nakai , Shinsei Ryu , Akira Furusaki

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 unified perspective on symmetry protected topological (SPT) phases in one dimension and address the open question of what characterizes their phase transitions. In the first part of this work we use symmetry as a guide to map…

强关联电子 · 物理学 2017-10-17 Ruben Verresen , Roderich Moessner , Frank Pollmann

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…

强关联电子 · 物理学 2020-06-16 Xin Dai , Shao-Kai Jian , Hong Yao

The SYK model has a wormhole-like solution after averaging over the fermionic couplings in the nearly $AdS_2$ space. Even when the couplings are fixed the contribution of these wormholes continues to exist and new saddle points appear which…

高能物理 - 理论 · 物理学 2022-02-03 Sayantan Choudhury , K. Shirish

The Kitaev-Hubbard model of interacting fermions is defined on the honeycomb lattice and, at strong coupling, interpolates between the Heisenberg model and the Kitaev model. It is basically a Hubbard model with ordinary hopping $t$ and…

强关联电子 · 物理学 2015-06-11 J. P. L. Faye , S. R. Hassan , D. Sénéchal

We construct a new family of quantum chaotic models by combining multiple copies of integrable commuting SYK models. As each copy of the commuting SYK model does not commute with others, this construction breaks the integrability of each…

高能物理 - 理论 · 物理学 2025-12-05 Ping Gao , Han Lin , Cheng Peng