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We study the effect of spin-orbit coupling on both the zero-temperature and non-zero temperature behavior of a two-dimensional (2D) Fermi gas. We include a generic combination of Rashba and Dresselhaus terms into the system Hamiltonian,…

Quantum Gases · Physics 2015-11-02 Jeroen P. A. Devreese , Jacques Tempere , Carlos A. R. Sá de Melo

We study the phase transition between conducting and insulating states taking place in disordered multi-channel Luttinger liquids with inter-channel interactions. We derive renormalisation group equations which are perturbative in disorder…

Strongly Correlated Electrons · Physics 2017-12-06 Max Jones , Igor V. Lerner , Igor V. Yurkevich

We investigate the critical parameters of an order-disorder quantum phase transitions in the spin-1/2 $J-J'$ Heisenberg and XY antiferromagnets on square lattice. Basing on the excitation gaps calculated by exact diagonalization technique…

Condensed Matter · Physics 2009-11-07 Piotr Tomczak , Johannes Richter

A two-dimensional quantum system of dipoles, with a polarization angle not perpendicular to the plane, shows a transition from a gas to a stripe phase. We have studied the thermal properties of these two phases using the path integral Monte…

Quantum Gases · Physics 2019-12-11 Raul Bombin , Ferran Mazzanti , Jordi Boronat

We study the boundary criticality enriched by boundary fermions, which ubiquitously emerge in topological phases of matter, with a focus on topological insulators and topological superconductors. By employing dimensional regularization and…

Strongly Correlated Electrons · Physics 2025-07-23 Xiaoyang Shen , Zhengzhi Wu , Shao-Kai Jian

Critical transitions are the abrupt shifts between qualitatively different states of a system, and they are crucial to understanding tipping points in complex dynamical systems across ecology, climate science, and biology. Detecting these…

Machine Learning · Computer Science 2026-03-06 Swadesh Pal , Roderick Melnik

We study a one-dimensional ladder of two coupled XXZ spin chains and identify several distinct gapless symmetry-enriched critical phases. These have the same unbroken symmetries and long-wavelength description, but cannot be connected…

Strongly Correlated Electrons · Physics 2024-04-30 Suman Mondal , Adhip Agarwala , Tapan Mishra , Abhishodh Prakash

We have developed a tensor network approach to the two-dimensional fully frustrated classical XY spin model on the kagome lattice, and clarified the nature of the possible phase transitions of various topological excitations.We find that…

Strongly Correlated Electrons · Physics 2023-07-24 Feng-Feng Song , Guang-Ming Zhang

Current deep neural networks are highly overparameterized (up to billions of connection weights) and nonlinear. Yet they can fit data almost perfectly through variants of gradient descent algorithms and achieve unexpected levels of…

We demonstrate a three-dimensional Kosterlitz-Thouless (KT) transition in the random field XY model driven out of thermal equilibrium. By employing the spin-wave approximation and functional renormalization group approach, in the weak…

Statistical Mechanics · Physics 2018-09-26 Taiki Haga

This is a Reply to the Comment from F. Cinti and M. Boninsegni on our recent work on the Berezinskii-Kosterlitz-Thouless (BKT) phase transition in a two-dimensional dipolar system [R.Bomb\'in, F. Mazzanti and J. Boronat, Physical Review A…

Quantum Gases · Physics 2020-10-21 Raúl Bombín , Ferran Mazzanti , Jordi Boronat

Despite about forty years of investigations, the nature of the melting transition in two dimensions is not completely clear. In the framework of the most popular Berezinskii-Kosterlitz-Thouless-Halperin-Nelson-Young (BKTHNY) theory, 2D…

Soft Condensed Matter · Physics 2017-10-11 E. N. Tsiok , Yu. D. Fomin , V. N. Ryzhov

The main question raised in the article is whether a neural network trained on a spin lattice model in one universality class can be used to test a model in another universality class. The quantities of interest are the critical phase…

Statistical Mechanics · Physics 2025-11-19 Vladislav Chertenkov , Lev Shchur

The Domany Kinzel (DK) model encompasses several types of non-equilibrium phase transitions, depending on the selected parameters. We apply supervised, semi-supervised, and unsupervised learning methods to studying the phase transitions and…

Computational Physics · Physics 2023-11-02 Kui Tuo , Wei Li , Shengfeng Deng , Yueying Zhu

Although classifying topological quantum phases have attracted great interests, the absence of local order parameter generically makes it challenging to detect a topological phase transition from experimental data. Recent advances in…

Quantum Gases · Physics 2022-10-12 Entong Zhao , Ting Hin Mak , Chengdong He , Zejian Ren , Ka Kwan Pak , Yu-Jun Liu , Gyu-Boong Jo

We investigate the possibility that Bose-Einstein condensates (BECs), loaded on a 2D optical lattice, undergo - at finite temperature - a Berezinskii-Kosterlitz-Thouless (BKT) transition. We show that - in an experimentally attainable range…

Statistical Mechanics · Physics 2009-11-10 A. Trombettoni , A. Smerzi , P. Sodano

Spin dimer systems are a promising playground for the detailed study of quantum phase transitions. Using the magnetic field as the tuning parameter it is in principle possible to observe a crossover from the characteristic scaling near…

Strongly Correlated Electrons · Physics 2015-04-13 Dominik Strassel , Peter Kopietz , Sebastian Eggert

We accurately simulate the phase diagram and critical behavior of the $q$-state clock model on the square lattice by using the state-of-the-art loop optimization for tensor network renormalzation(loop-TNR) algorithm. The two phase…

Statistical Mechanics · Physics 2023-12-05 Guanrong Li , Kwok Ho Pai , Zheng-Cheng Gu

The Berezinskii-Kosterlitz-Thouless (BKT) mechanism describes universal vortex unbinding in many two-dimensional systems, including the paradigmatic XY model. However, most of these systems present a complex interplay between excitations at…

Strongly Correlated Electrons · Physics 2020-09-21 Ilaria Maccari , Nicolò Defenu , Lara Benfatto , Claudio Castellani , Tilman Enss

We investigate the equilibrium properties of a quantum Brownian particle moving in a periodic potential, specifically addressing the nature of the dissipation-driven Schmid transition in the Ohmic regime. By employing World-Line Monte Carlo…

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