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The dual role played by symmetry in many-body physics manifests itself through two fundamental mechanisms: spontaneous symmetry breaking and topological symmetry protection. These two concepts, ubiquitous in both condensed matter and high…

The scientific community has witnessed tremendous expansion of research on layered (i.e. two-dimensional, 2D) materials, with increasing recent focus on applications to photonics. Layered materials are particularly exciting for manipulating…

Materials Science · Physics 2020-11-17 Akshay Singh , Seong Soon Jo , Yifei Li , Changming Wu , Mo Li , R. Jaramillo

In the realm of modern materials science and advanced electronics, ferroelectric materials have emerged as a subject of great intrigue and significance, chiefly due to their remarkable property of reversible spontaneous polarization. This…

Materials Science · Physics 2025-07-31 Kai Kong , Qiang Wang , Yixuan Li , Yitong Liang

The point group symmetry of materials is closely related to their physical properties and quite important for material modeling. However, superlattice materials have more complex symmetry conditions than crystals due to their multilevel…

Materials Science · Physics 2016-02-17 Pu Zhang , Albert C. To

We discuss the structure of topological defects in the context of extra dimensions where the symmetry breaking terms are localized. These defects develop structure in the extra dimension which differs from the case where symmetry breaking…

High Energy Physics - Phenomenology · Physics 2009-11-11 R. Holman , Matthew R. Martin

A wide class of materials that were discovered to carry a topologically protected phase order has led to a highly active area of research called topological insulators. This phenomenon has radically changed our thinking because of their…

Materials Science · Physics 2014-10-21 Cui-Zu Chang , Peng Wei , Jagadeesh. S. Moodera

Spontaneous symmetry breaking has revolutionized the understanding in numerous fields of modern physics. Here, we theoretically demonstrate the spontaneous time-reversal symmetry breaking in a cavity quantum electrodynamics system in which…

Quantum Physics · Physics 2018-08-01 Yu-Kun Lu , Pai Peng , Qi-Tao Cao , Da Xu , Jan Wiersig , Qihuang Gong , Yun-Feng Xiao

Symmetry breaking is discussed in this paper which comes from the Lorentz transformation of special relativity and changes our view that two relatively moving bodies always have the relative speed equal in magnitude and opposite in…

General Physics · Physics 2007-05-23 Bin-Guang Ma

The issue of symmetry and symmetry breaking is fundamental in all areas of science. Symmetry is often assimilated to order and beauty while symmetry breaking is the source of many interesting phenomena such as phase transitions,…

Analysis of PDEs · Mathematics 2017-12-01 Jean Dolbeault , Maria J. Esteban , Michael Loss , Maria Esteban

The discovery of two-dimensional (2D) magnetism within atomically thin structures derived from layered crystals has opened up a new realm for exploring magnetic heterostructures. This emerging field provides a foundational platform for…

Mesoscale and Nanoscale Physics · Physics 2023-11-08 Bingyu Zhang , Pengcheng Lu , Roozbeh Tabrizian , Philip X. -L. Feng , Yingying Wu

The electron's charge and spin degrees of freedom are at the core of modern electronic devices. With the in-depth investigation of two-dimensional materials, another degree of freedom, valley, has also attracted tremendous research…

Materials Science · Physics 2023-09-06 Ping Li , Bang Liu , Wei-Xi Zhang , Zhi-Xin Guo

Two-dimensional (2D) materials have disrupted materials science due to the development of van der Waals technology. It enables the stacking of ultrathin layers of materials characterized by vastly different electronic structures to create…

We investigate the quench dynamics of interacting bosons on a two-leg ladder in presence of a uniform Abelian gauge field. The model hosts a variety of emergent quantum phases, and we focus on the superfluid biased-ladder phase breaking the…

Quantum Gases · Physics 2023-08-01 Weijie Huang , Yao Yao

Spontaneous symmetry breaking generally circumvents one-dimensional systems with local interactions in thermal equilibrium. Here, we analyze a category of one-dimensional Hermitian models via local non-Hermitian constructions. Notably,…

Quantum Physics · Physics 2025-06-30 Jia-Bao Wang , Zi-Hao Dong , Yi Zhang

The ability to identify and characterize spontaneous symmetry breaking is central to our understanding of 2D materials with strong correlation, such as the moir\'e flat bands in magic-angle twisted graphene bilayer and trilayer. In this…

Some formal aspects of supersymmetry breaking are reviewed. The classic "requirements" for supersymmetry breaking include chiral matter, a dynamical superpotential, and a classical superpotential which completely lifts the moduli space.…

High Energy Physics - Theory · Physics 2007-05-23 Scott Thomas

In this work we investigate symmetry breaking in the presence of a turbulent environment. The transition from a symmetric state to a symmetry-breaking state is demonstrated using two examples: (i) the transition of a two-dimensional flow to…

We extend the well-known theoretical treatment of the spontaneous symmetry breaking (SSB) in two-component systems, combining linear coupling and self-attractive nonlinearity, to a system in which the linear coupling competes with repulsive…

Pattern Formation and Solitons · Physics 2020-08-12 Hidetsugu Sakaguchi , Boris A. Malomed

The rapid development of two-dimensional (2D) materials has reshaped modern nanoscience, offering properties that differ fundamentally from their bulk counterparts. As experimental discovery accelerates, the need for reliable computational…

Materials Science · Physics 2025-12-19 Ahsan Javed , Mahvish Shaheen , Muhammad Shahbaz , M. Sufyan Ramzan , Rafi Ullah , Wei Jiang

Symmetry-breaking plays a pivotal role in unlocking intriguing properties and functionalities in material systems. For example, the breaking of spatial and temporal symmetries leads to a fascinating phenomenon of superconducting diode…