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Lee-Yang (LY) zeros play a fundamental role in the formulation of statistical physics in terms of (grand) partition functions, and assume theoretical significance for the phenomenon of phase transitions. In this paper, motivated by recent…

Statistical Mechanics · Physics 2022-12-14 Chengshu Li , Fan Yang

Using the electrostatic analogy, we derive an exact formula for the limiting Yang-Lee zero distribution in the random allocation model of general weights. This exhibits a real-space condensation phase transition, which is induced by a…

Statistical Mechanics · Physics 2025-01-28 Zdzislaw Burda , Desmond A. Johnston , Mario Kieburg

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

We study the Yang-Lee theory in quantum phase transitions from the perspective of quantum entanglement in one-dimensional many-body systems. We primarily focus on the distribution of Yang-Lee zeros and its associated Yang-Lee edge…

Quantum Physics · Physics 2025-01-31 Hongchao Li

Predicting the phase diagram of interacting quantum many-body systems is a challenging problem in condensed matter physics. Strong interactions and correlation effects may lead to exotic states of matter, such as quantum spin liquids and…

Strongly Correlated Electrons · Physics 2025-02-18 Pascal M. Vecsei , Jose L. Lado , Christian Flindt

We propose to use the theory of phase transitions of Lee and Yang as a practical tool to analyze long-range correlations in a finite-size system. We apply it to the analysis of anisotropic flow in nucleus-nucleus collisions, and show that…

Nuclear Theory · Physics 2015-06-26 R. S. Bhalerao , N. Borghini , J. -Y. Ollitrault

Lee-Yang (LY) zeros, points on the complex plane of physical parameters where the partition function goes to zero, have found diverse applications across multiple disciplines like statistical physics, protein folding, percolation, complex…

Statistical Mechanics · Physics 2024-06-06 Arijit Chatterjee , T S Mahesh , Mounir Nisse , Yen-Kheng Lim

To analyze phase transitions in a nonequilibrium system we study its grand canonical partition function as a function of complex fugacity. Real and positive roots of the partition function mark phase transitions. This behavior, first found…

Statistical Mechanics · Physics 2009-10-31 Peter F. Arndt

We propose gate-parameter Lee-Yang zeros of Loschmidt amplitudes as probes of dynamical phases in finite quantum circuits. We illustrate this approach using a brickwork model, where the time evolution is generated by repeated application of…

Quantum Physics · Physics 2026-05-29 Chang Liu , Yu Wu , Yunfeng Jiang , Yang Zhang

A generalization of the Yang-Lee and Fisher zeros on far-from-equilibrium systems coupled with two thermal baths is proposed. The Yang-Lee zeros were obtained for minimal models which exhibit complicated behavior in the context of the…

Statistical Mechanics · Physics 2009-11-13 K. G. Sargsyan

We present a general, rigorous theory of Lee-Yang zeros for models with first-order phase transitions that admit convergent contour expansions. We derive formulas for the positions and the density of the zeros. In particular, we show that…

Mathematical Physics · Physics 2009-10-31 Marek Biskup , Christian Borgs , Jennifer T. Chayes , Logan J. Kleinwaks , Roman Kotecky

We study a phase transition in a non-equilibrium model first introduced in [5], using the Yang-Lee description of equilibrium phase transitions in terms of both canonical and grand canonical partition function zeros. The model consists of…

Statistical Mechanics · Physics 2007-05-23 Farhad H Jafarpour

Phase Transition is associated with a drastic change in some observable (ordered parameter) of the system when the controlled parameter is tuned smoothly. Lee-Yang theory of phase transition is discussed which is related to the accumulation…

Statistical Mechanics · Physics 2022-05-10 Shoaib Akhtar

This paper is devoted to an in-depth study of the limiting measure of Lee--Yang zeroes for the Ising Model on the Cayley Tree. We build on previous works of M\"uller-Hartmann-Zittartz (1974 and 1977), Barata--Marchetti (1997), and…

Mathematical Physics · Physics 2019-03-27 Ivan Chio , Caleb He , Anthony L. Ji , Roland K. W. Roeder

Multiplicative logarithmic corrections to scaling are frequently encountered in the critical behavior of certain statistical-mechanical systems. Here, a Lee-Yang zero approach is used to systematically analyse the exponents of such…

Statistical Mechanics · Physics 2009-11-11 R. Kenna , D. A. Johnston , W. Janke

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

The Lee-Yang circle theorem revolutionized our understanding of phase transitions in ferromagnetic systems by showing that the complex zeros of partition functions lie on the unit circle, with criticality arising as these zeros approach the…

Disordered Systems and Neural Networks · Physics 2025-03-14 Chaoming Song

In a classical work of the 1950's, Lee and Yang proved that the zeros of the partition functions of a ferromagnetic Ising models always lie on the unit circle. Distribution of these zeros is physically important as it controls phase…

Dynamical Systems · Mathematics 2010-09-24 Pavel Bleher , Mikhail Lyubich , Roland Roeder

Lee-Yang phase transition theory is a milestone in statistical physics. Its applications in realistic systems, however, had been substantially hindered by availability of practical schemes to calculate the Lee-Yang zeros. In this…

Statistical Mechanics · Physics 2025-09-17 Ling Liu , Yihua Dong , Qijun Ye , Xin-Zheng Li

The hot nucleus $^{162}\mathrm{Dy}$ is investigated using covariant density functional theory, where the shell-model-like approach treats the pairing correlation. Lee-Yang's theorem is applied to classify the pairing phase transition by…

Nuclear Theory · Physics 2023-03-17 Yuhang Gao , Yanlong Lin , Lang Liu