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Related papers: Proposal for Observing Yang-Lee Criticality in Ryd…

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Using finite-size-scaling methods, we study the quantum chain version of the spin-$1$-Blume-Capel model coupled to an imaginary field. The aim is to realize higher order non-unitary conformal field theories in a simple Ising-type spin…

High Energy Physics - Theory · Physics 2009-09-25 G. von Gehlen

We determine the universal location of the Yang-Lee edge singularity in the entire relevant domain of spatial dimensions $1\le d \le 4$ for the Ising universality class. To that end, we present analytical results for $d=1,2,4$ and near four…

High Energy Physics - Phenomenology · Physics 2022-07-25 Fabian Rennecke , Vladimir V. Skokov

We study spin-glass systems characterized by continuous occurrence of singularities. The theory of Lee-Yang zeros is used to find the singularities. By using the replica method in mean-field systems, we show that two-dimensional…

Statistical Mechanics · Physics 2013-12-18 Kazutaka Takahashi , Tomoyuki Obuchi

In this paper we study finite-size effects in the Blume-Capel model through the analysis of the zeros of the partition function. We consider a complete graph and make use of the behaviour of the partition function zeros to elucidate the…

Statistical Mechanics · Physics 2025-01-09 Yulian Honchar , Mariana Krasnytska , Bertrand Berche , Yurij Holovatch , Ralph Kenna

The study of nonequilibrium steady-state (NESS) in the Ising model offers rich insights into the properties of complex systems far from equilibrium. This paper explores the nature of NESS phase transitions in two-dimensional (2D)…

Statistical Mechanics · Physics 2024-09-05 Dagne Wordofa Tola , Mulugeta Bekele

Qualitative and quantitative information about critical phenomena is provided by the distribution of zeros of the partition function in the complex plane. We apply this idea to Ising models on non-periodic systems based on substitution. In…

Statistical Mechanics · Physics 2007-05-23 Harald Simon , Michael Baake , Uwe Grimm

Concepts of the complex partition functions and the Fisher zeros provide intrinsic statistical mechanisms for finite temperature and real time dynamical phase transitions. We extend the utility of these complexifications to quantum phase…

Strongly Correlated Electrons · Physics 2024-09-25 Yang Liu , Songtai Lv , Yang Yang , Haiyuan Zou

Ising symmetry typically emerges in the critical domain between liquid-gas phases. Universality of this property imposes strong constraints on the behavior of thermodynamic crossovers for supercritical fluids. In this work, we develop a…

Statistical Mechanics · Physics 2026-04-08 Zhong-Ying Fan

The mobility edge (ME) is a critical energy delineates the boundary between extended and localized states within the energy spectrum, and it plays a crucial role in understanding the metal-insulator transition in disordered or quasiperiodic…

Disordered Systems and Neural Networks · Physics 2024-09-04 Xiang-Ping Jiang , Weilei Zeng , Yayun Hu , Peng Liu

In this paper, we study the local well-posedness of the $(1+3)$-dimensional Yang-Mills-Higgs (YMH) and the Yang-Mills-Dirac (YMD) system in the Lorenz gauge. Since there is some bilinear term in (YMH), which is a lack of null structure, one…

Analysis of PDEs · Mathematics 2020-11-03 Seokchang Hong

We investigate the behavior of geometric phase (GP) and geometric entanglement (GE), a multipartite entanglement measure, across quantum phase transitions in Rydberg atom chains. Using density matrix renormalization group calculations and…

Quantum Gases · Physics 2025-03-31 Chang-Yan Wang

Conventionally a mobility edge (ME) marks a critical energy that separates two different transport zones where all states are extended and localized, respectively. Here we propose a novel quasiperiodic spin-orbit coupled lattice model with…

Disordered Systems and Neural Networks · Physics 2022-11-01 Yucheng Wang , Long Zhang , Wei Sun , Ting-Fung Jeffrey Poon , Xiong-Jun Liu

The nodal surfaces of the many-body wavefunction are fundamental geometric features that encode critical information regarding particle statistics and their interaction. Directly probing these structures, particularly in correlated quantum…

Quantum Gases · Physics 2025-12-17 Wayne J. Chetcuti , Anna Minguzzi , Juan Polo , Luigi Amico

The (emergent) symmetry of a critical point is one of the most important information to identify the universality class and effective field theory, which is fundamental for various critical theories. However, the underlying symmetry so far…

Quantum Physics · Physics 2026-02-03 Bin-Bin Mao , Zhe Wang , Bin-Bin Chen , Zheng Yan

To understand the distribution of the Yang-Lee zeros in quantum integrable field theories we analyse the simplest of these systems given by the two-dimensional Yang-Lee model. The grand-canonical partition function of this quantum field…

Statistical Mechanics · Physics 2018-04-12 Giuseppe Mussardo , Riccarda Bonsignori , Andrea Trombettoni

We present a numerical calculation of the Lee-Yang and Fisher zeros of the 2D Ising model using multi-point Pad\'{e} approximants. We perform simulations for the 2D Ising model with ferromagnetic couplings both in the absence and in the…

High Energy Physics - Lattice · Physics 2024-04-16 Simran Singh , Massimo Cipressi , Francesco Di Renzo

Recently, the study of non-Hermitian physics has attracted considerable attention. The modified bulk-boundary correspondence has been proposed to understand topological edge states in non-Hermitian static systems. Here we report a new…

Optics · Physics 2019-06-18 Bo Wang , Tian Chen , Xiangdong Zhang

The recent discovery of persistent revivals in the Rydberg-atom quantum simulator has revealed a weakly ergodicity-breaking mechanism dubbed quantum many-body scars, which are a set of nonthermal states embedded in otherwise thermal…

Quantum Gases · Physics 2023-08-02 Qianqian Chen , Shuai A. Chen , Zheng Zhu

We analyze the partition function of the Ising model on graphs of two different types: complete graphs, wherein all nodes are mutually linked and annealed scale-free networks for which the degree distribution decays as $P(k)\sim…

Statistical Mechanics · Physics 2016-03-23 M. Krasnytska , B. Berche , Yu. Holovatch , R. Kenna

We revisit the somewhat less studied problem of Yang-Lee zeros of the Ising antiferromagnet. For this purpose, we study two models, the nearest-neighbor model on a square lattice, and the more tractable mean-field model corresponding to…

Statistical Mechanics · Physics 2025-06-23 Muhammad Sedik , Junaid Majeed Bhat , Abhishek Dhar , B Sriram Shastry
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