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The symmetry-topology interplay dictates how to define order parameters and classify material ordered phases. However, current understanding of this interplay has been predominately approached from a one-sided perspective, with topological…

Materials Science · Physics 2025-02-25 Liang Luo , Boqun Song , Genda Gu , Martin Mootz , Yongxin Yao , Ilias E. Perakis , Qiang Li , Jigang Wang

We study a system of two hardcore bosonic Hubbard models weakly coupled with each other by tunneling. Assuming that the single uncoupled model exhibits off-diagonal long-range order, we prove that the coupled system exhibits spontaneous…

Statistical Mechanics · Physics 2020-01-08 Hal Tasaki

We consider a UV-complete field-theoretic model in general dimensions, including $d=2+1$, that exhibits spontaneous breaking of continuous symmetry, persisting to arbitrarily large temperatures. Our model consists of two copies of the…

High Energy Physics - Theory · Physics 2022-06-01 Noam Chai , Anatoly Dymarsky , Mikhail Goykhman , Ritam Sinha , Michael Smolkin

We study the possibility of spontaneous symmetry breaking in systems with both charge and dipole symmetries. For $d$-dimensional systems at a positive temperature, we show that charge symmetry cannot be spontaneously broken for $d\leq 4$,…

Strongly Correlated Electrons · Physics 2022-12-28 Anton Kapustin , Lev Spodyneiko

It is known that in thermal systems of finite size that are subject to second order phase transitions and until the spontaneous symmetry breaking is completed, the fluctuations of the order parameter obey to the dynamics of critical…

Statistical Mechanics · Physics 2023-05-09 Y. Contoyiannis , P. Papadopoulos , L. Matiadou , S. G. Stavrinides , M. Hanias , S. M. Potirakis

The appearances of complex eigenvalues in the spectra of PT-symmetric quantum-mechanical systems are usually associated with a spontaneous breaking of PT. In this letter we discuss a family of models for which this phenomenon is also linked…

High Energy Physics - Theory · Physics 2009-11-07 Patrick Dorey , Clare Dunning , Roberto Tateo

We provide a resolution of one of the long-standing puzzles in the theory of disordered systems. By reformulating the functional renormalization group (FRG) for the critical behavior of the random field Ising model in a superfield…

Statistical Mechanics · Physics 2015-05-27 Matthieu Tissier , Gilles Tarjus

We explore the states of matter arising from the spontaneous symmetry breaking (SSB) of $\mathbb{Z}_2$ non-onsite symmetries. In one spatial dimension, we construct a frustration-free lattice model exhibiting SSB of a non-onsite symmetry,…

Strongly Correlated Electrons · Physics 2026-05-28 Zhehao Zhang , Yabo Li , Tsung-Cheng Lu

The recent development of bootstrap methods based on semidefinite relaxations of positivity constraints has enabled rigorous two-sided bounds on local observables directly in the thermodynamic limit. However, these bounds inevitably become…

Strongly Correlated Electrons · Physics 2025-11-27 Michael G. Scheer , Nisarg Chadha , Da-Chuan Lu , Eslam Khalaf

In a compact space with non-trivial cycles, for sufficiently small values of the compact dimensions, charge conjugation (C), spatial reflection (P) and time reversal (T) are spontaneously broken in QCD. The order parameter for the symmetry…

High Energy Physics - Lattice · Physics 2008-11-26 Biagio Lucini , Agostino Patella , Claudio Pica

In this work spontaneous (non-dynamical) breaking (effective hiding) of the unitary quantum mechanical dynamical symmetry (superposition) is considered. It represents an especial but very interesting case of the general formalism of the…

Quantum Physics · Physics 2007-05-23 Vladan Pankovic , Milan Predojevic

The Landau paradigm of phase transitions is one of the backbones in critical phenomena. With a $Z_2$ symmetry, it describes the Ising universality class whose central charge is one half (c = 1=2) in two spatial dimensions (2D). Recent…

Strongly Correlated Electrons · Physics 2018-03-05 Sangjin Lee , Jun Jung , Ara Go , Eun-Gook Moon

The article discusses a scenario based on the idea of induced spontaneous symmetry breaking. In this type of scenario, spontaneous symmetry breaking is assumed at some highest energy level, which leads to a chain of several subsequent…

High Energy Physics - Phenomenology · Physics 2022-02-16 Eduard Boos

We use the microscopic Hartree-Fock approximation to investigate various quantum phase transitions associated with possible spontaneous symmetry breaking induced by a tilted magnetic field in the integral quantum Hall regime of wide…

Strongly Correlated Electrons · Physics 2009-11-10 D. -W. Wang , E. Demler , S. Das Sarma

We study $D$-dimensional gauge theory with an extra dimension of a circle at finite temperature. We mainly focus on the expectation value of the gauge field for the direction of the extra dimension, which is the order parameter of the gauge…

High Energy Physics - Theory · Physics 2009-10-29 Makoto Sakamoto , Kazunori Takenaga

It is known that the spontaneous time translation symmetry breaking can occur in systems periodically driven at a certain period. We predict a spontaneous breaking of time translation symmetry in an atom-cavity system without external…

Quantum Physics · Physics 2024-05-08 T. T. Sergeev , A. A. Zyablovsky , E. S. Andrianov , Yu. E. Lozovik

The order parameters which are thought to detect U(1) gauge symmetry breaking in a superconductor are both non-local and gauge dependent. For that reason they are also ambiguous as a guide to phase structure. We point out that a global…

Superconductivity · Physics 2019-11-27 Kazue Matsuyama , Jeff Greensite

Dynamical spontaneous breaking of some discrete symmetries including special parities and time reversal and their restoration at finite temperature T are researched in 3D Gross-Neveu model by means of Schwinger-Dyson equation in the…

High Energy Physics - Theory · Physics 2009-10-31 Bang-Rong Zhou

In the last years we have proposed the use of the mechanism of spontaneous symmetry breaking with the purpose of generating perfect quadrature squeezing. Here we review previous work dealing with spatial (translational and rotational)…

We study the conditions for spontaneous symmetry breaking of the (2+1)-dimensional noncommutative phi^6 model in the small-theta limit. In this regime, considering the model as a cutoff theory, it is reasonable to assume translational…

High Energy Physics - Theory · Physics 2009-11-10 G. D. Barbosa
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