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Symmetries are so involved in crystallographic detail that it is indispensable when crystal cell or lattice is mentioned. For nanocrystals, however, many are 'systemic symmetries', meaning that the whole structures of nanocrystal particles…

介观与纳米尺度物理 · 物理学 2011-12-13 Yan Zhou , Junyan Zhang , Bin Zhang , Jutao Jin , Aimin Liang , Yuqing Da , Jiangong Li

We present a clear and mathematically simple procedure explaining spontaneous symmetry breaking in quantum mechanical systems. The procedure is applicable to a wide range of models and can be easily used to explain the existence of a…

经典物理 · 物理学 2010-04-29 Jasper van Wezel , Jeroen van den Brink

Perhaps the most important aspect of symmetry in physics is the idea that a state does not need to have the same symmetries as the theory that describes it. This phenomenon is known as spontaneous symmetry breaking. In these lecture notes,…

高能物理 - 理论 · 物理学 2019-12-16 Aron J. Beekman , Louk Rademaker , Jasper van Wezel

In a physical system undergoing a continuous quantum phase transition, spontaneous symmetry breaking occurs when certain symmetries of the Hamiltonian fail to be preserved in the ground state. In the traditional Landau theory, a symmetry…

量子代数 · 数学 2019-03-05 Marcel Bischoff , Corey Jones , Yuan-Ming Lu , David Penneys

Spontaneous symmetry breaking is a general principle, that constitutes the underlying concept of a vast number of physical phenomena ranging from ferromagnetism and superconductivity in condensed matter physics to the Higgs mechanism in the…

高能物理 - 理论 · 物理学 2015-03-13 Tomas Brauner

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…

微分几何 · 数学 2022-06-28 Andreas Fuchs , Udo Hertrich-Jeromin , Mason Pember

Spontaneous symmetry breaking occurs when the symmetry that a physical system possesses, is not preserved for the ground state of the system. Although the procedure of symmetry breaking is quite clear from the mathematical point of view,…

物理教育 · 物理学 2007-05-23 A. Acus

The mechanism of spontaneous symmetry breaking in quantum systems is briefly reviewed, rectifying part of the standard wisdom on logical and mathematical grounds. The crucial role of the localization properties of the time evolution for the…

物理学史与哲学 · 物理学 2012-01-27 F. Strocchi

We discuss formation of cosmic strings associated with a spontaneously broken approximate $U(1)$ symmetry by performing classical field-theoretical simulations. An original $U(1)$ symmetry is explicitly broken down to its subgroup $Z_N$…

高能物理 - 唯象学 · 物理学 2024-10-11 Kohei Fujikura , Mairi Sakellariadou , Michiru Uwabo-Niibo , Masahide Yamaguchi

A theoretical consideration of the so-called "membrane-in-the-middle" optomechanical cavity revealed that it undergoes a spontaneous symmetry breaking as a function of the transparency of the membrane. Such typical features of this…

光学 · 物理学 2020-07-01 A. K. Tagantsev

Spontaneous symmetry breaking plays a pivotal role in physics ranging from the emergence of elementary particles to the phase transitions of matter. The spontaneous breaking of continuous time translation symmetry leads to a novel state of…

Recent 3D organ reconstitution studies show that a group of stem cells can establish a body axis and acquire different fates in a spatially organized manner. How such symmetry breaking happens in the absence of external spatial cues, and…

组织与器官 · 定量生物学 2018-10-29 Keisuke Ishihara , Elly M. Tanaka

We discovered in simulations of sliding coaxial nanotubes an unanticipated example of dynamical symmetry breaking taking place at the nanoscale. While both nanotubes are perfectly left-right symmetric and nonchiral, a nonzero angular…

材料科学 · 物理学 2009-03-24 X. H. Zhang , G. E. Santoro , U. Tartaglino , E. Tosatti

Spontaneous symmetry breaking is related to the appearance of emergent phenomena, while a non-vanishing order parameter has been viewed as the sign of turning into such symmetry breaking phase. Recently, we have proposed a continuous…

量子物理 · 物理学 2017-11-22 G. H. Dong , Y. N. Fang , C. P. Sun

We propose a novel mechanism of spontaneous supersymmetry breaking which relies upon an ubiquitous feature of Quantum Field Theory, vacuum condensates. Such condensates play a crucial r\^{o}le in many phenomena. Examples include Unruh…

高能物理 - 理论 · 物理学 2015-06-11 Antonio Capolupo , Marco Di Mauro

We investigate the spontaneous breaking of subsystem symmetries directly in the context of continuum field theories by calculating the correlation function of charged operators. Our methods confirm the lack of spontaneous symmetry breaking…

高能物理 - 理论 · 物理学 2022-03-10 Jacques Distler , Andreas Karch , Amir Raz

We prove a strong form of spontaneous breaking of rotational symmetry for a simple model of two-dimensional crystals with random defects in thermal equilibrium at low temperature. The defects consist of isolated missing atoms.

概率论 · 数学 2013-08-20 Markus Heydenreich , Franz Merkl , Silke W. W. Rolles

Processes that can produce states of broken chiral symmetry are of particular interest to physics, chemistry and biology. Chiral symmetry breaking during crystallization of sodium chlorate occurs via the production of secondary crystals of…

其他凝聚态物理 · 物理学 2009-11-10 Cristobal Viedma

Spontaneous symmetry breaking is one of the central organizing principles in physics. Time crystals have emerged as an exotic phase of matter, spontaneously breaking the time translational symmetry, and are mainly categorized as discrete or…

量子物理 · 物理学 2026-01-16 Jan Carlo Schumann , Igor Lesanovsky , Parvinder Solanki

Spontaneous symmetry breaking and emergent polar order are each of fundamental importance to a range of scientific disciplines, as well as generating rich phase behaviour in liquid crystals (LCs). Here, we show the union of these phenomena…

软凝聚态物质 · 物理学 2024-08-06 Calum Gibb , Jordan Hobbs , Diana Nikolova , Tom Raistrick , Helen Gleeson , Richard Mandle
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