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 …

Competing nematic interactions in a generalized model in two and three dimensions

GA Canova, Y Levin, JJ Arenzon - Physical Review E, 2016 - APS
We study a generalization of the XY model with an additional nematic-like term through
extensive numerical simulations and finite-size techniques, both in two and three …

Stiffness jump in the generalized model on the square lattice

DM Hübscher, S Wessel - Physical Review E—Statistical, Nonlinear, and Soft …, 2013 - APS
We study the thermal phase transitions in the generalized classical XY model on the two-
dimensional square lattice using single-cluster Monte Carlo simulations. In particular, we …

Kosterlitz-Thouless and Potts transitions in a generalized model

GA Canova, Y Levin, JJ Arenzon - Physical Review E, 2014 - APS
We present extensive numerical simulations of a generalized XY model with nematic-like
terms recently proposed by Poderoso et al.[Phys. Rev. Lett. 106, 067202 (2011) PRLTAO …

Phase diagrams of the antiferromagnetic model on a triangular lattice with higher-order interactions

M Lach, M Žukovič - Physical Review E, 2021 - APS
We study the effects of higher-order antinematic interactions on the critical behavior of the
antiferromagnetic (AFM) XY model on a triangular lattice using Monte Carlo simulations. The …

Generalized model with competing antiferromagnetic and antinematic interactions

M Žukovič - Physical Review E, 2024 - APS
I study effects of q-order antinematic (AN q) interactions on the critical behavior of the
antiferromagnetic (AF) XY model on a square lattice. It is found that the evolution of the …

Vortex confinement transitions in the modified Goldstone model

M Kobayashi, G Fejős, C Chatterjee, M Nitta - Physical Review Research, 2020 - APS
The modified XY model is a variation of the XY model extended by a half-period term,
exhibiting a rich phase structure. As the Goldstone model, also known as the linear O (2) …

New ordered phase in geometrically frustrated generalized model

M Lach, M Žukovič - Physical Review E, 2020 - APS
Critical properties of a geometrically frustrated generalized XY model with antiferromagnetic
(AFM) and third-order antinematic (AN3) couplings on a triangular lattice are studied by …

Ordering kinetics and steady states of XY-model with ferromagnetic and nematic interaction

PS Mondal, PK Mishra, S Mishra - Journal of Physics: Condensed …, 2024 - iopscience.iop.org
Previous studies on the generalized XY model have concentrated on the equilibrium phase
diagram and the equilibrium nature of distinct phases under varying parameter conditions …

model with antinematic interaction

M Žukovič - Physical Review E, 2019 - APS
We consider the XY model with ferromagnetic (FM) and antinematic (AN) nearest-neighbor
interactions on a square lattice for a varying interaction strength ratio. Besides the expected …