Machine-learning detection of the Berezinskii-Kosterlitz-Thouless transition and the second-order phase transition in XXZ models

Y Miyajima, M Mochizuki - Physical Review B, 2023 - APS
We propose two machine-learning methods based on neural networks, which we
respectively call the phase-classification method and the temperature-identification method …

Nematic superconductivity and its critical vestigial phases in the quasicrystal

YB Liu, J Zhou, F Yang - Physical Review Letters, 2024 - APS
We propose a general mechanism to realize nematic superconductivity (SC) and reveal its
exotic vestigial phases in the quasicrystal (QC). Starting from a Penrose-Hubbard model, our …

Unsupervised learning of phase transitions via modified anomaly detection with autoencoders

KK Ng, MF Yang - Physical Review B, 2023 - APS
In this paper, a modified method of anomaly detection using convolutional autoencoders is
employed to predict phase transitions in several statistical mechanical models on a square …

Topological magnetic phase transition in Eu-based -type antiferromagnets

E Heinrich, T Posske, B Flebus - Physical Review B, 2022 - APS
Recently, a colossal magnetoresistance (CMR) was observed in Eu Cd 2 P 2, a compound
that does not fit the conventional mixed-valence paradigm. Instead, experimental evidence …

Study of phase transition of Potts model with Domain Adversarial Neural Network

X Chen, F Liu, S Chen, J Shen, W Deng, G Papp… - Physica A: Statistical …, 2023 - Elsevier
A transfer learning method, Domain Adversarial Neural Network (DANN), is introduced to
study the phase transition of two-dimensional q-state Potts model. With the DANN, we only …

Simulating the Berezinskii-Kosterlitz-Thouless transition with the complex Langevin algorithm

P Heinen, T Gasenzer - Physical Review A, 2023 - APS
Numerical simulations of the full quantum properties of interacting many-body systems by
means of field-theoretic Monte Carlo techniques are often limited due to a sign problem …

Probing phase transitions with correlations in configuration space

WY Su, YJ Liu, N Ma, C Cheng - Physical Review B, 2024 - APS
In principle, the probability of configurations, determined by the system's partition function or
wave function, encapsulates essential information about phases and phase transitions …

Berezinskii-Kosterlitz-Thouless phase transitions in a kagome spin ice by a quantifying Monte Carlo process: Distribution of Hamming distances

WY Su, F Hu, C Cheng, N Ma - Physical Review B, 2023 - APS
We reinvestigate the phase transitions of the Ising model on the kagome lattice with
antiferromagnetic nearest-neighbor and ferromagnetic next-nearest-neighbor interactions …

Extracting off-diagonal order from diagonal basis measurements

B Xiao, JR Moreno, M Fishman, D Sels, E Khatami… - Physical Review …, 2024 - APS
Quantum gas microscopy has developed into a powerful tool to explore strongly correlated
quantum systems. However, discerning phases with topological or off-diagonal long range …

Machine-Learning Detection of the Berezinskii–Kosterlitz–Thouless Transitions

M Mochizuki, Y Miyajima - journal of the physical society of japan, 2025 - journals.jps.jp
The Berezinskii–Kosterlitz–Thouless (BKT) transition is a typical topological phase transition
defined between binding and unbinding states of vortices and antivortices, which is not …