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We review quantum phase transitions of spin systems in transverse magnetic fields taking the examples of the spin-1/2 Ising and XY models in a transverse field. Beginning with an overview of quantum phase transitions, we introduce a number…

Statistical Mechanics · Physics 2015-06-10 Amit Dutta , Gabriel Aeppli , Bikas K. Chakrabarti , Uma Divakaran , Thomas F. Rosenbaum , Diptiman Sen

The Kibble-Zurek scaling reveals the universal dynamics when a system is linearly ramped across a symmetry-breaking phase transition. However, in reality, inevitable finite-size effects or symmetrybreaking perturbations can often smear out…

The Kibble-Zurek (KZ) mechanism has been extensively studied in various second-order phase transitions, yet the case of tricriticality-the point where second-order phase transition lines terminate-remains experimentally elusive. Here, we…

Quantum Gases · Physics 2025-12-02 Hanteng Wang , Xingyu Li , Chengshu Li

The ground state of the one-dimensional Bose-Hubbard model at unit filling undergoes the Mott-superfluid quantum phase transition. It belongs to the Kosterlitz-Thouless universality class with an exponential divergence of the correlation…

Statistical Mechanics · Physics 2017-03-29 Bartłomiej Gardas , Jacek Dziarmaga , Wojciech H. Zurek

We study the dynamics of systems quenched through topological quantum phase transitions and investigate the behavior of the bulk and edge excitations with various quench rates. Specifically, we consider the Haldane model and checkerboard…

Strongly Correlated Electrons · Physics 2018-07-04 Shiuan-Fan Liou , Kun Yang

Symmetry-breaking quantum phase transitions play a key role in several condensed matter, cosmology and nuclear physics theoretical models. Its observation in real systems is often hampered by finite temperatures and limited control of the…

The phase transition between gapped topological phases represents a class of unconventional criticality beyond the Landau paradigm. However, recent research has shifted attention to topological phases without a bulk gap, where the phase…

Strongly Correlated Electrons · Physics 2024-07-03 Hao-Long Zhang , Han-Ze Li , Sheng Yang , Xue-Jia Yu

We study phase diagrams of a class of doped quantum dimer models on the square lattice with ground-state wave functions whose amplitudes have the form of the Gibbs weights of a classical doped dimer model. In this dimer model, parallel…

Strongly Correlated Electrons · Physics 2007-10-25 Stefanos Papanikolaou , Erik Luijten , Eduardo Fradkin

We study the gravitational collapse of a kink within spherical symmetry and the characteristic formulation of General Relativity. We explore some expected but elusive gravitational collapse issues which have not been studied before in…

General Relativity and Quantum Cosmology · Physics 2016-04-20 W. Barreto , J. Crespo , H. de Oliveira , E. Rodrigues , B. Rodriguez-Mueller

We perform a numerical study of the phase transitions in three-dimensional Z(N) lattice gauge theories at finite temperature for N>4. Using the dual formulation of the models and a cluster algorithm we locate the position of the critical…

High Energy Physics - Lattice · Physics 2015-06-12 O. Borisenko , V. Chelnokov , G. Cortese , M. Gravina , A. Papa , I. Surzhikov

Quantum phase transitions are characterised by the universal scaling laws in the critical region surrounding the transitions. This universality is also manifested in the critical real-time dynamics through the quantum Kibble-Zurek…

Quantum Physics · Physics 2026-04-21 Jose Soto Garcia , Natalia Chepiga

The Kibble-Zurek mechanism provides a description of the topological structure occurring in the symmetry breaking phase transitions, which may manifest as the cosmological strings in the early universe or vortex lines in the superfulid. A…

Quantum Physics · Physics 2014-03-12 Cheng Zhou , Li Wang , Tao Tu , Hai-Ou Li , Guang-Can Guo , Hong-Wen Jiang , Guo-Ping Guo

We derive the phase diagram of a paradigmatic model of Coulomb frustrated phase separation in two-dimensional systems with negative short-range electronic compressibility. We consider the system subject either to the truly three-dimensional…

Strongly Correlated Electrons · Physics 2009-05-13 C. Ortix , J. Lorenzana , C. Di Castro

We consider close-packed tiling models of geometric objects -- a mixture of hardcore dimers and plaquettes -- as a generalisation of the familiar dimer models. Specifically, on an anisotropic cubic lattice, we demand that each site be…

Strongly Correlated Electrons · Physics 2022-10-12 Yizhi You , Roderich Moessner

Fractonic matter can undergo unconventional phase transitions driven by the condensation of particles that move along subdimensional manifolds. We propose that this type of quantum critical point can be realized in a bilayer of crossed…

Strongly Correlated Electrons · Physics 2024-09-16 Rafael A. Macedo , Rodrigo G. Pereira

Close-packed, classical dimer models on three-dimensional, bipartite lattices harbor a Coulomb phase with power-law correlations at infinite temperature. Here, we discuss the nature of the thermal phase transition out of this Coulomb phase…

Statistical Mechanics · Physics 2009-07-17 Gang Chen , Jan Gukelberger , Simon Trebst , Fabien Alet , Leon Balents

According to the famous Kibble-Zurek mechanism (KZM), the universality of spontaneous defect generation in continuous phase transitions (CPTs) can be understood by the critical slowing down. In most CPTs of atomic Bose-Einstein condensates…

Quantum Gases · Physics 2016-10-12 Shuyuan Wu , Xizhou Qin , Jun Xu , Chaohong Lee

After fifty years of lattice gauge theories (LGTs), the nature of the transition between their topological phases (confinement/deconfinement) remains challenging due to the absence of a local order parameter. In this work, we conduct a…

Statistical Mechanics · Physics 2025-09-16 Ramgopal Agrawal , Leticia F. Cugliandolo , Lara Faoro , Lev B. Ioffe , Marco Picco

Using a simple analytic approach, we study the universal properties of second-order phase transition in holographic superconductor models. We explore a general model in arbitrary dimensions in which the condensation occurs via the…

High Energy Physics - Theory · Physics 2011-11-03 Chiang-Mei Chen , Ming-Fan Wu

We argue that the world-sheet dynamics of magnetic k-strings in the Higgs phase of the mass-deformed N=4 theory, is controlled by a bosonic O(3) sigma model with anisotropy and a topological theta term. The theory interpolates between a…

High Energy Physics - Theory · Physics 2011-04-15 Roberto Auzzi , S. Prem Kumar