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We introduce a new way of reconstructing the equation of state of a thermodynamic system near a second order critical point from a finite set of Taylor coefficients computed away from the critical point. We focus on the Ising universality…

High Energy Physics - Theory · Physics 2021-11-03 Gokce Basar

Lee-Yang zeros are points in the complex plane of an external control parameter at which the partition function vanishes for a many-body system of finite size. In the thermodynamic limit, the Lee-Yang zeros approach the critical value on…

Mesoscale and Nanoscale Physics · Physics 2019-09-06 Aydin Deger , Christian Flindt

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

Near a critical endpoint the Lee-Yang edge singularity approaches the real axis in the complex chemical potential plane. In the vicinity of the critical point the functional form of this approach depends on the universality class. Assuming…

The Yang-Lee universality class arises when imaginary magnetic field is tuned to its critical value in the paramagnetic phase of the $d<6$ Ising model. In $d=2$, this non-unitary Conformal Field Theory (CFT) is exactly solvable via the…

High Energy Physics - Theory · Physics 2025-12-03 Erick Arguello Cruz , Igor R. Klebanov , Grigory Tarnopolsky , Yuan Xin

We investigate the Yang-Lee edge singularity on non-planar random graphs, which we consider as the Feynman Diagrams of various d=0 field theories, in order to determine the value of the edge exponent. We consider the hard dimer model on…

High Energy Physics - Lattice · Physics 2008-11-26 D. A. Johnston

The scaling behaviour of the edge of the Lee--Yang zeroes in the four dimensional Ising model is analyzed. This model is believed to belong to the same universality class as the $\phi^4_4$ model which plays a central role in relativistic…

High Energy Physics - Lattice · Physics 2011-07-19 R. Kenna , C. B. Lang

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

The densities of Yang-Lee zeros for the Ising ferromagnet on the $L\times L$ square lattice are evaluated from the exact grand partition functions ($L=3\sim16$). The properties of the density of Yang-Lee zeros are discussed as a function of…

Statistical Mechanics · Physics 2009-11-11 Seung-Yeon Kim

Entanglement in quantum XY spin chains of arbitrary length is investigated via a recently-developed global measure suitable for generic quantum many-body systems. The entanglement surface is determined over the phase diagram, and found to…

In this paper we study the non-unitary deformations of the two-dimensional Tricritical Ising Model obtained by coupling its two spin Z2 odd operators to imaginary magnetic fields. Varying the strengths of these imaginary magnetic fields and…

High Energy Physics - Theory · Physics 2023-02-22 Máté Lencsés , Alessio Miscioscia , Giuseppe Mussardo , Gábor Takács

We show here for the one-dimensional spin-1/2 ANNNI (axial-next-to-nearest-neighbor-Ising) model in an external magnetic field that the linear density of Yang-Lee zeros may diverge with critical exponent $\sigma = -2/3$ at the Yang-Lee edge…

Statistical Mechanics · Physics 2010-12-21 D. Dalmazi , F. L. Sa

The Yang-Lee edge singularity is investigated by the determinant method of the conformal field theory. The critical dimension Dc, for which the scale dimension of scalar Delta_phi is vanishing, is discussed by this determinant method. The…

High Energy Physics - Theory · Physics 2019-12-06 S. Hikami

The phase diagram of the two- and three-state Potts model with infinite-range interactions, in the external field is analyzed by studying the partition function zeros in the complex field plane. The tricritical point of the three-state…

Statistical Mechanics · Physics 2013-03-01 Zvonko Glumac , Katarina Uzelac

Quantum phase transitions are a ubiquitous many-body phenomenon that occurs in a wide range of physical systems, including superconductors, quantum spin liquids, and topological materials. However, investigations of quantum critical systems…

Strongly Correlated Electrons · Physics 2021-09-06 Timo Kist , Jose L. Lado , Christian Flindt

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

Quantum phase transitions take place between distinct phases of matter at zero temperature. Near the transition point, exotic quantum symmetries can emerge that govern the excitation spectrum of the system. A symmetry described by the E8…

Strongly Correlated Electrons · Physics 2015-05-27 R. Coldea , D. A. Tennant , E. M. Wheeler , E. Wawrzynska , D. Prabhakaran , M. Telling , K. Habicht , P. Smeibidl , K. Kiefer

Zeros of partition functions, in particular Lee-Yang zeros, in a complex plane provide important information for understanding phase transitions. A recent discovery on the equivalence between the coherence of a central quantum system and…

Quantum Physics · Physics 2023-11-28 Wenjie Shao , Yulian Chen , Ren-bao Liu , Yiheng Lin

Lattice and continuum fluid models with repulsive-core interactions typically display a dominant, critical-type singularity on the real, negative activity axis. Lai and Fisher recently suggested, mainly on numerical grounds, that this…

Statistical Mechanics · Physics 2009-10-31 Youngah Park , Michael E. Fisher

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