From Complexification to Self-Similarity: New Aspects of Quantum Criticality
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 …
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
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 …
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
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 …
tuning parameter was recently proposed as an elegant explanation for the ubiquity of …
[HTML][HTML] Partition Function Zeros of the Frustrated J1–J2 Ising Model on the Honeycomb Lattice
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 …
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 …
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 …
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 …
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 …
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 …
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 …
phase transitions and critical phenomena. For the first time, the exact integer values for the …