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We consider the system of particles on a finite interval with pair-wise nearest neighbours interaction and external force. This model was introduced by Malyshev to study the flow of charged particles on a rigorous mathematical level. It is…

Probability · Mathematics 2016-06-15 Tatyana Turova

We study the ground-state properties of a system of dimers. Each dimer consists in a pair of equivalent charges at a fixed distance, immersed in a neutralizing homogeneous background. All charges interact pairwisely by Coulomb potential.…

Statistical Mechanics · Physics 2018-01-11 Igor Travěnec , Ladislav Šamaj

The quantum dimer model, relevant for short-range resonant valence bond physics, is rigorously shown to have long range order in a crystalline phase in the attractive case at low temperature and not too large flipping term. This term flips…

Statistical Mechanics · Physics 2015-05-04 Alessandro Giuliani , Elliott H. Lieb

One of the most interesting predictions resulting from quantum physics, is the violation of classical symmetries, collectively referred to as anomalies. A remarkable class of anomalies occurs when the continuous scale symmetry of a scale…

Mesoscale and Nanoscale Physics · Physics 2017-09-12 O. Ovdat , Jinhai Mao , Yuhang Jiang , E. Y. Andrei , E. Akkermans

Atomic many-body phase transitions and quantum criticality have recently attracted much attention in non-standard optical lattices. Here we perform an experimental study of finite-temperature superfluid transition of bosonic atoms confined…

Quantum Gases · Physics 2019-07-09 Shengjie Jin , Xinxin Guo , Peng Peng , Xuzong Chen , Xiaopeng Li , Xiaoji Zhou

The Landau-Ginzburg-Wilson theory of phase transitions precludes a continuous transition between two phases that spontaneously break distinct symmetries. However, quantum mechanical effects can intertwine the symmetries, giving rise to an…

Strongly Correlated Electrons · Physics 2023-08-23 Jong Yeon Lee , Joshua Ramette , Max A. Metlitski , Vladan Vuletic , Wen Wei Ho , Soonwon Choi

We review connections between phase transitions in high-dimensional combinatorial geometry and phase transitions occurring in modern high-dimensional data analysis and signal processing. In data analysis, such transitions arise as abrupt…

Statistics Theory · Mathematics 2015-05-13 David L. Donoho , Jared Tanner

We explore the quantum phase transition between Peierls and charge-density-wave insulating states in the one-dimensional, half-filled, extended Hubbard model with explicit bond dimerization. We show that the critical line of the continuous…

Strongly Correlated Electrons · Physics 2016-06-14 Satoshi Ejima , Fabian H. L. Essler , Florian Lange , Holger Fehske

Phase transitions are prevalent throughout physics, spanning thermal phenomena like water boiling to magnetic transitions in solids. They encompass cosmological phase transitions in the early universe and the transition into a quark-gluon…

Disordered Systems and Neural Networks · Physics 2025-04-03 Farid Madani , Maxime Denis , Pascal Szriftgiser , Jean Claude Garreau , Adam Rançon , Radu Chicireanu

The classical dimer model on the cubic lattice hosts a columnar ordered phase and a disordered Coulomb phase, separated by a continuous phase transition that lies beyond the conventional Landau-Ginzburg-Wilson paradigm. While its…

Statistical Mechanics · Physics 2026-05-18 Hu-Xiao Peng , Zheng Yan , Shuai Yin

Topological quantum phase transitions intrinsically intertwine self-similarity and topology of many-electron wave-functions, and divining them is one of the most significant ways to advance understanding in condensed matter physics. Our…

Strongly Correlated Electrons · Physics 2016-01-27 Gil Young Cho , Eun-Gook Moon

An asymmetric generalization of the zero-temperature Glauber model on a lattice is introduced. The dynamics of the particle-density and specially the large-time behavior of the system is studied. It is shown that the system exhibits two…

Statistical Mechanics · Physics 2009-10-31 Mohammad Khorrami , Amir Aghamohammadi

The continuous quantum phase transition between noninteracting, time-reversal symmetric topological and trivial insulators in three dimensions is described by the massless Dirac fermion. We address the stability of this quantum critical…

Mesoscale and Nanoscale Physics · Physics 2016-07-06 Bitan Roy , Pallab Goswami , Jay D. Sau

We find a possibility of a weak universality of spin-glass phase transitions in three-dimensional $\pm J$ models. The Ising, the XY and the Heisenberg models seem to undergo finite-temperature phase transitions with a ratio of the critical…

Disordered Systems and Neural Networks · Physics 2009-11-10 Tota Nakamura , Shin-ichi Endoh , Takeo Yamamoto

These lectures provide a pedagogical introduction to the theory of continuous quantum phase transitions. Various two-dimensional condensed matter systems, such as a superconducting film, a quantum Hall liquid, and an array of Josephson…

Condensed Matter · Physics 2007-05-23 Adriaan M. J. Schakel

We explore the Coleman-Weinberg phase transition in regions outside the validity of perturbation theory. For this purpose we study a Euclidean field theory with two scalars and discrete symmetry in four dimensions. The phase diagram is…

High Energy Physics - Theory · Physics 2014-11-18 S. Bornholdt , N. Tetradis , C. Wetterich

Uncovering and understanding universal dynamics in matter far from equilibrium remains a key challenge. In this work, we identify a so far unrecognized form of universal behavior that emerges after a sudden symmetry-breaking quench at…

Quantum Physics · Physics 2026-05-11 Tobias Wiener , Laurin Brunner , Markus Heyl

A quantum phase transition is an unequivocal signature of strongly correlated many-body physics. Signatures of such phenomena are yet to be observed in ballistic transport through quantum wires. Recent developments in quantum wires have…

Strongly Correlated Electrons · Physics 2017-07-26 Abolfazl Bayat , Sanjeev Kumar , Michael Pepper , Sougato Bose

A system with equal number of positive and negative charges confined in a box with a small but finite thickness is modeled as a function of temperature using mesoscale numerical simulations, for various values of the charges. The Coulomb…

Soft Condensed Matter · Physics 2023-01-09 A. Gama Goicochea , Z. Nussinov

Phase transitions, as one of the most intriguing phenomena in nature, are divided into first-order phase transitions (FOPTs) and continuous ones in current classification. While the latter shows striking phenomena of scaling and…

Statistical Mechanics · Physics 2025-07-21 Yuxiang Zhang , Fan Zhong