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A geometric mechanism that may, in analogy to similar notions in physics, be considered as "symmetry breaking" in geometry is described, and several instances of this mechanism in differential geometry are discussed: it is shown how…

Differential Geometry · Mathematics 2022-06-28 Andreas Fuchs , Udo Hertrich-Jeromin , Mason Pember

Inversion symmetry breaking is a ubiquitous concept in condensed-matter science. On the one hand, it is a prerequisite for many technologically relevant effects such as piezoelectricity, photovoltaic and nonlinear optical properties and…

Materials Science · Physics 2021-04-28 J. Nordlander , M. D. Rossell , M. Campanini , M. Fiebig , M. Trassin

Two-dimensional (2D) layered materials hosting dislocations have attracted considerable research attention in recent years. In particular, screw dislocations can result in a spiral topology and an interlayer twist in the layered materials,…

Materials Science · Physics 2020-12-23 Rui Chen , Jinhua Cao , Stephen Gee , Yin Liu , Jie Yao

Dynamical supersymmetry breaking is a fascinating theoretical problem. It is also of phenomenological significance. A better understanding of this phenomenon can help in model building, which in turn is useful in guiding the search for…

High Energy Physics - Theory · Physics 2009-10-31 Erich Poppitz , Sandip P. Trivedi

Spontaneous symmetry breaking is central to our understanding of physics and explains many natural phenomena, from cosmic scales to subatomic particles. Its use for applications requires devices with a high level of symmetry, but engineered…

Symmetry is one of the most central concepts in physics, and it is no surprise that it has also been widely adopted as an inductive bias for machine-learning models applied to the physical sciences. This is especially true for models…

Chemical Physics · Physics 2024-12-23 Marcel F. Langer , Sergey N. Pozdnyakov , Michele Ceriotti

Photonics and optoelectronics are at the foundations of widespread technologies, from high-speed Internet to systems for artificial intelligence, automotive LiDAR, and optical quantum computing. Light enables ultrafast speeds and low energy…

Optics · Physics 2021-06-30 Alex Krasnok , Andrea Alú

Some old and new ideas on symmetry breaking, based on the presence of extra dimensions that have been the subject of a very fast development and intensive studies during the last years, will be presented in these lectures. Special attention…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. Quiros

The dynamics of suspended two-dimensional (2D) materials has received increasing attention during the last decade, yielding new techniques to study and interpret the physics that governs the motion of atomically thin layers. This has led to…

Mesoscale and Nanoscale Physics · Physics 2021-09-01 Peter G. Steeneken , Robin J. Dolleman , Dejan Davidovikj , Farbod Alijani , Herre S. J. van der Zant

In this work, we reconsider the study of 2D materials involving double lattice structures associated with periodic polygons. In tessellated periodic representation, it appears two periodic polygons of $k$ sides of unequal side lengths at…

Materials Science · Physics 2019-05-30 Adil Belhaj , Salah Eddine Ennadifi

The past decade has been especially creative for spintronics since the (re)discovery of various two dimensional (2D) materials. Due to the unusual physical characteristics, 2D materials have provided new platforms to probe the spin…

Mesoscale and Nanoscale Physics · Physics 2016-02-25 Wei Han

Some recent experimental and theoretical work on 1) charge symmetry-breaking, 2) parity non-conservation, and 3) searches for breaking of time reversal invariance are reviewed. The examples illustrate the uses of symmetry to learn about…

Nuclear Theory · Physics 2009-09-25 Ernest M. Henley

Friedel's law guarantees an inversion-symmetric diffraction pattern for thin, light materials where a kinematic approximation or a single-scattering model holds. Typically, breaking Friedel symmetry is ascribed to multiple scattering events…

Spontaneous symmetry breaking provides a powerful window into the nature of underlying electronic orders. In strongly correlated systems, multiple symmetry-breaking orders can arise simultaneously. and their interplay generates an intricate…

Mesoscale and Nanoscale Physics · Physics 2025-12-16 Erin Morissette , Peiyu Qin , K. Watanabe , T. Taniguchi , J. I. A. Li

Spontaneous symmetry breaking is a well-understood mechanism for generating distinct phases of matter. Recently, the notion of symmetry has been broadened to include operations without inverses, leading to the concept of non-invertible…

Strongly Correlated Electrons · Physics 2026-05-28 Xie Chen , Shang Liu , Da-chuan Lu , Nathanan Tantivasadakarn

Dynamical supersymmetry breaking is considered in models which admit descriptions in terms of electric, confined, or magnetic degrees of freedom in various limits. In this way, a variety of seemingly different theories which break…

High Energy Physics - Theory · Physics 2007-05-23 Kenneth Intriligator , Scott Thomas

Layered two-dimensional (2D) materials have revolutionized how we approach light-matter interactions, offering unprecedented optical and electronic properties with the potential for vertical heterostructures and manipulation of spin-valley…

Paucity of naturally occurring noncentrosymmetric materials is stimulating growing interest in engineered two-dimensional systems for nonlinear optical applications. Here, we show that breaking inversion symmetry in centrosymmetric bilayer…

Materials Science · Physics 2026-03-27 Vineet Kumar Sharma , Alana Okullo , Barun Ghosh , Arun Bansil , Sugata Chowdhury

Crystal symmetry of two-dimensional (2D) materials plays an important role in their electronic and optical properties. Engineering symmetry in 2D materials has recently emerged as a promising way to achieve novel properties and functions.…

This article reviews the subject of supersymmetry and its breaking. The emphasis is on recent developments in metastable, dynamical supersymmetry breaking, which permit the construction of promising models of particle physics.

High Energy Physics - Theory · Physics 2015-05-20 Michael Dine , John D. Mason
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