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The symmetry-constrained response tensors on transport, optical, and electromagnetic effects are of central importance in condensed matter physics because they can guide experimental detections and verify theoretical calculations. These…

Materials Science · Physics 2025-09-29 Rui-Chun Xiao , Yuanjun Jin , Zhi-Fan Zhang , Zi-Hao Feng , Ding-Fu Shao , Mingliang Tian

Spin space groups, formed by operations where the rotation of the spins is independent of the accompanying operation acting on the crystal structure, are appropriate groups to describe the symmetry of magnetic structures with null…

Materials Science · Physics 2025-07-25 Jesus Etxebarria , J. Manuel Perez-Mato , Emre S. Tasci , Luis Elcoro

We present PyXtal, a new package based on the Python programming language, used to generate structures with specific symmetry and chemical compositions for both atomic and molecular systems. This soft ware provides support for various…

Materials Science · Physics 2021-10-05 Scott Fredericks , Kevin Parrish , Dean Sayre , Qiang Zhu

Finite group symmetry is commonplace in Physics, in particular through crystallographic groups occurring in condensed matter physics -- but also through the inversions (C,P,T and their combinations) occurring in high energy physics and…

Mathematical Physics · Physics 2008-03-26 G. Gaeta

Time crystals are physical systems whose time translation symmetry is spontaneously broken. Although the spontaneous breaking of continuous time-translation symmetry in static systems is proved impossible for the equilibrium state, the…

Quantum Gases · Physics 2020-08-19 Lingzhen Guo , Pengfei Liang

A Python program for calculating the metrics necessary to perform information-theory based symmetry classifications and quantifications of transmission electron diffraction spot patterns is introduced. It is the first of its kind, in that…

Materials Science · Physics 2022-05-10 Lukas von Koch , Peter Moeck

Crystal symmetry plays a fundamental role in determining its physical, chemical, and electronic properties such as electrical and thermal conductivity, optical and polarization behavior, and mechanical strength. Almost all known crystalline…

The complexity of condensed matter arises from emergent behaviors that cannot be understood by analyzing individual constituents in isolation. While traditional condensed-matter approaches-developed primarily for ideal crystalline…

Materials Science · Physics 2025-09-30 Elisabetta Nocerino

Group Theory techniques can aid greatly the determination of magnetic structures. The integration of their calculations into new and existing refinement programs is an ongoing development that will simplify and make more rigorous the…

Materials Science · Physics 2009-11-07 A. S. Wills

The relation between the properties of a specific crystallographic site and the properties of the full crystal is discussed by using spherical tensors. The concept of spherical tensors is introduced and the way it transforms under the…

Strongly Correlated Electrons · Physics 2010-07-26 Christian Brouder , Amélie Juhin , Amélie Bordage , Marie-Anne Arrio

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

Generating novel crystalline materials has the potential to lead to advancements in fields such as electronics, energy storage, and catalysis. The defining characteristic of crystals is their symmetry, which plays a central role in…

We study periodic crystalline spin textures in spinor condensates with dipolar interactions via a systematic symmetry analysis of the low-energy effective theory. By considering symmetry operations which combine real and spin space…

Quantum Gases · Physics 2013-05-29 R. W. Cherng , E. Demler

Symmetries are a key concept to connect mathematical elegance with physical insight. We consider measurement assemblages in quantum mechanics and show how their symmetry can be described by means of the so-called discrete bundles. It turns…

Quantum Physics · Physics 2020-03-30 H. Chau Nguyen , Sébastien Designolle , Mohamed Barakat , Otfried Gühne

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

Spatial symmetries and invariances play an important role in the behaviour of materials and should be respected in the description and modelling of material properties. The focus here is the class of physically symmetric and positive…

Numerical Analysis · Mathematics 2024-02-12 Sharana Kumar Shivanand , Bojana Rosić , Hermann G. Matthies

The calculation of (co)irreducible representations of energy bands at high-symmetry points (HSPs) is essential for high-throughput research on topological materials based on symmetry-indicators or topological quantum chemistry. However,…

Materials Science · Physics 2025-09-17 Liangliang Huang , Xiangang Wan , Feng Tang

Particle systems admit a variety of tensor product structures (TPSs) depending on the complete system of commuting observables chosen for the analysis. Different notions of entanglement are associated with these different TPSs. Global…

Quantum Physics · Physics 2011-05-12 N. L. Harshman , S. Wickramsekara

As a star orbits the center of its host galaxy, the trajectory is encompassed within a 3D toroid. The orbit probes all points in this toroid, unless its orbital frequencies exhibit integer ratios (commensurate frequencies), in which case a…

Astrophysics of Galaxies · Physics 2025-05-22 Subhadeep Sarkar , Michael S. Petersen

We put forward a technique to unveil to which symmetry group a nonlinear crystal belongs, making use of nonlinear optics with structured light. We consider as example the process of spontaneous parametric down-conversion. The crystal, which…

Optics · Physics 2015-07-01 Rocio Jauregui , Juan P. Torres
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