From Complexification to Self-Similarity: New Aspects of Quantum Criticality

Y Liu, E Zhao, H Zou - Chinese Physics Letters, 2024 - iopscience.iop.org
Quantum phase transitions are a fascinating area of condensed matter physics. The
extension through complexification not only broadens the scope of this field but also offers a …

[HTML][HTML] Fisher zeros and correlation decay in the Ising model

J Liu, A Sinclair, P Srivastava - Journal of Mathematical Physics, 2019 - pubs.aip.org
We study the complex zeros of the partition function of the Ising model, viewed as a
polynomial in the “interaction parameter”; these are known as Fisher zeros in light of their …

Hidden Critical Points in the Two-Dimensional Model: Exact Numerical Study of a Complex Conformal Field Theory

A Haldar, O Tavakol, H Ma, T Scaffidi - Physical Review Letters, 2023 - APS
The presence of nearby conformal field theories (CFTs) hidden in the complex plane of the
tuning parameter was recently proposed as an elegant explanation for the ubiquity of …

[HTML][HTML] Partition Function Zeros of the Frustrated J1J2 Ising Model on the Honeycomb Lattice

D Gessert, M Weigel, W Janke - Entropy, 2024 - mdpi.com
We study the zeros of the partition function in the complex temperature plane (Fisher zeros)
and in the complex external field plane (Lee–Yang zeros) of a frustrated Ising model with …

[BOOK][B] Approximate counting, phase transitions and geometry of polynomials

J Liu - 2019 - search.proquest.com
In classical statistical physics, a phase transition is understood by studying the geometry (the
zero-set) of an associated polynomial (the partition function). In this thesis, we will show that …

Yang–Lee zeros of triangular Ising antiferromagnets

CO Hwang, SY Kim - Physica A: Statistical Mechanics and its Applications, 2010 - Elsevier
In our previous research, by combining both the exact enumeration method (microcanonical
transfer matrix) for a small system (L= 9) with the Wang–Landau Monte Carlo algorithm for …

The location of the Fisher zeros and estimates of y T= 1/ν are found for the Baxter–Wu model

JL Monroe - Journal of Physics A: Mathematical and Theoretical, 2022 - iopscience.iop.org
The Fisher zeros of the Baxter–Wu model are examined for the first time and for two series of
finite-sized systems, with'spherical'boundary conditions, their location is found to be …

Field-induced Kosterlitz–Thouless transition in critical triangular-lattice antiferromagnets

CO Hwang, SY Kim - Monte Carlo Methods and Applications, 2014 - degruyter.com
In this paper, we directly obtain from Monte Carlo simulations the critical magnetic field H= 0.
29 (3) of the field-induced Kosterlitz–Thouless transition in the critical triangular-lattice …

[PDF][PDF] Evaluation of an efficient Monte Carlo algorithm to calculate the density of states

SY Kim - International Journal of Machine Learning and …, 2012 - ijml.org
Phase transitions and critical phenomena are the most universal phenomena in nature. To
understand the phase transitions and critical phenomena of a given system as a continuous …

[PDF][PDF] Exact Computation of the Triangular-Lattice Ising Model with Eighteen Spins on a Side

SY Kim - International Journal of Computer Theory and …, 2016 - ijcte.com
The Ising model, consisting of magnetic spins, is the most important system in understanding
phase transitions and critical phenomena. For the first time, the exact integer values for the …