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Recent studies identified spin-order-driven phenomena such as spin-charge interconversion without relying on the relativistic spin-orbit interaction. Those physical properties can be prominent in systems containing light magnetic atoms due…

Materials Science · Physics 2024-04-01 Hikaru Watanabe , Kohei Shinohara , Takuya Nomoto , Atsushi Togo , Ryotaro Arita

The most important recent results in the theory of phase transitions and quantum effects in quantum anharmonic crystals are presented and discussed. In particular, necessary and sufficient conditions for a phase transition to occur at some…

Statistical Mechanics · Physics 2015-06-04 Sergio Albeverio , Yuri Kozitsky , Yuri Kondratiev , Michael Roeckner

We study the nature of domain walls in an ordered phase in the phase-competing region of two Ising-type order parameters. Considering a two-component $\phi^4$ theory, we show that the domain wall of the ground-state (primary) order…

Statistical Mechanics · Physics 2018-04-23 Hiroaki Ishizuka , Yasusada Yamada , Naoto Nagaosa

In the framework of Landau theory of phase transitions one is interested to describe all the possible low symmetry ``superconducting'' phases allowed for a given superconductor crystal and to determine the conditions under which this…

Mathematical Physics · Physics 2007-05-23 Vittorino Talamini

The spontaneous breaking of non-invertible symmetries can lead to exotic phenomena such as coexistence of order and disorder. Here we explore second-order phase transitions in 1d spin chains between two phases that correspond to distinct…

Strongly Correlated Electrons · Physics 2025-12-12 Yu-Hsueh Chen , Tarun Grover

The Landau description of phase transitions relies on the identification of a local order parameter that indicates the onset of a symmetry-breaking phase. In contrast, topological phase transitions evade this paradigm and, as a result, are…

Statistical Mechanics · Physics 2020-06-24 Joaquin F. Rodriguez-Nieva , Mathias S. Scheurer

The crystalline solids with lack of orientational ordering of anisotropic particles serve the purpose of studying the disordered systems with many fundamental applications in contemporary research. Despite the orientational disorder,…

Soft Condensed Matter · Physics 2024-11-01 Sumitava Kundu , Kaustav Chakraborty , Avisek Das

We investigate the representations of the symmetry groups of infinite crystals. Crystal symmetries are usually described as the finite symmetry group of a finite crystal with periodic boundary conditions, for which the Brillouin zone is a…

Materials Science · Physics 2025-12-30 Bachir Bekka , Christian Brouder

Different types of ordering phenomena may occur during phase transitions, described within the universal framework of the Landau theory through the evolution of one, or several, symmetry-breaking order parameter h. In addition, many systems…

The 212 species of structural phase transitions which break macroscopic symmetry are analyzed with respect to the occurrence of time-reversal invariant vector and bidirector order parameters. The possibility of discerning the orientational…

Mesoscale and Nanoscale Physics · Physics 2020-08-05 K. C. Erb , J. Hlinka

We introduce a novel characterization of phase transitions based on hypothesis testing. In our formulation, a phase transition is defined as the breakdown of statistical indistinguishability under vanishing parameter perturbations in the…

Statistical Mechanics · Physics 2026-04-20 Taiyo Narita , Hideyuki Miyahara

Modeling symmetry breaking is essential for understanding the fundamental changes in the behaviors and properties of physical systems, from microscopic particle interactions to macroscopic phenomena like fluid dynamics and cosmic…

Machine Learning · Computer Science 2025-07-11 Rui Wang , Elyssa Hofgard , Han Gao , Robin Walters , Tess E. Smidt

A tipping point can be defined as an abrupt shift in the properties or behaviour of a system. Tipping points in complex systems from a wide variety of scientific disciplines have been compared to phase transitions in physics, but consistent…

Physics and Society · Physics 2023-02-28 Marieke M. Glazenburg , Luca Consoli , Alix McCollam

Spontaneous C4-symmetry breaking phases are ubiquitous in layered quantum materials, and often compete with other phases such as superconductivity. Preferential suppression of the symmetry broken phases by light has been used to explain…

Strongly Correlated Electrons · Physics 2022-01-12 Daniel Perez-Salinas , Allan S. Johnson , Dharmalingam Prabhakaran , Simon Wall

Using ultrashort laser pulses, it has become possible to probe the dynamics of long-range order in solids on microscopic timescales. In the conventional description of symmetry-broken phases within time-dependent Ginzburg-Landau theory, the…

Strongly Correlated Electrons · Physics 2023-06-08 Antonio Picano , Francesco Grandi , Martin Eckstein

Crystals and other condensed phases are defined primarily by their inherent symmetries, which play a crucial role in dictating their structural properties. In crystallization studies, local order parameters (OPs) that describe bond…

Computational Physics · Physics 2026-04-10 Domagoj Fijan , Maria R. Ward Rashidi , Jenna Bradley , Sharon C. Glotzer

We explore the rich landscape of higher-form and non-invertible symmetries that emerge at low energies in generic ordered phases. Using that their charge is carried by homotopy defects (i.e., domain walls, vortices, hedgehogs, etc.), in the…

Strongly Correlated Electrons · Physics 2024-09-17 Salvatore D. Pace

In primary school, we were told that there are four phases of matter: solid, liquid, gas, and plasma. In college, we learned that there are much more than four phases of matter, such as hundreds of crystal phases, liquid crystal phases,…

Strongly Correlated Electrons · Physics 2019-05-28 Xiao-Gang Wen

The unconstrained ensemble describes completely open systems in which energy, volume and number of particles fluctuate. Here we show that not only equilibrium states can exist in this ensemble, but also that completely open systems can…

Statistical Mechanics · Physics 2021-04-14 Alessandro Campa , Lapo Casetti , Ivan Latella , Stefano Ruffo

A routine crystallography technique, crystal structure analysis, is rarely performed in computational condensed matter research. The lack of methods to identify and characterize crystal structures reliably in particle simulation data…

Materials Science · Physics 2021-06-29 Michael Engel