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The correlations, entanglement entropy, and fidelity susceptibility are calculated for a one-dimensional spin-1/2 XXZ chain with anisotropic power-law long range interactions by employing the density matrix renormalization group method. In…

Strongly Correlated Electrons · Physics 2020-03-11 Jie Ren , Wen-Long You , Xiaoqun Wang

Topological phases have been a central focus of condensed-matter physics for over 50 years. Along with many experimental applications, they have provided much intellectual interest due to their characterization via some form of topological…

Statistical Mechanics · Physics 2025-06-09 Michael F. Faulkner

A symmetry breaking (SB) involves an abrupt change in the set of microstates that a system can explore. This change has unavoidable thermodynamic implications. According to Boltzmann's microscopic interpretation of entropy, a shrinkage of…

Statistical Mechanics · Physics 2015-06-17 Edgar Roldan , Ignacio A Martinez , Juan MR Parrondo , Dmitri Petrov

The dynamic conductivity $\sigma(\omega)$ of strongly correlated electrons in a symmetry broken phase is investigated in the present work. The model considered consists of spinless fermions with repulsive interaction on a simple cubic…

Condensed Matter · Physics 2016-08-31 Goetz S. Uhrig

We investigate the finite-size scaling of the entanglement gap in the one dimensional long-range quantum spherical model (QSM). We focus on the weak long-range QSM, for which the thermodynamic limit is well-defined. This model exhibits a…

Statistical Mechanics · Physics 2023-05-30 Sascha Wald , Raul Arias , Vincenzo Alba

Simulations of pure-gauge SU(2) lattice gauge theory are performed in the minimal Coulomb gauge. This leaves a residual or remnant gauge symmetry still active which is global in three directions but still local in one. Using averaged…

High Energy Physics - Lattice · Physics 2008-11-26 Michael Grady

We analyze the constraints that a correct phenomenology and the absence of dangerous charge and color breaking (CCB) minima or unbounded from below (UFB) directions impose on the parameter space of different superstring and M-theory…

High Energy Physics - Phenomenology · Physics 2009-10-31 J. A. Casas , A. Ibarra , C. Muñoz

We consider spin systems with long-range interactions in nonadditive regime. When the non-additive scaling limit is employed, the energy and the entropy compete and the system exhibits some phase transitions. Such systems do not satisfy the…

Statistical Mechanics · Physics 2013-10-15 Takashi Mori

We report on an experimental study of the Lipkin-Meshkov-Glick model of quantum spins interacting at infinite range in a transverse magnetic field, which exhibits a ferromagnetic phase transition in the thermodynamic limit. We use…

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

We show that the spontaneous symmetry breaking can be defined also for finite systems based on the properly defined jump probability between the ground states in the 2d and 3d Ising models on a square and a cubic lattice respectively. Our…

Statistical Mechanics · Physics 2021-06-25 Fotis K. Diakonos , Yiannis F. Contoyiannis , Stelios M. Potirakis

Motivated by a recent conjecture [1] that quantum corrections and the UV/IR connection modify the classical relation between SUSY breaking and the cosmological constant to the phenomenologically acceptable : $M_{SUSY} \sim M_P (\Lambda…

High Energy Physics - Theory · Physics 2007-05-23 T. Banks , W. Fischler

Spontaneous symmetry breaking (SSB) is the cornerstone of our understanding of quantum phases of matter. Recent works have generalized this concept to the domain of mixed states in open quantum systems, where symmetries can be realized in…

Quantum Physics · Physics 2025-12-30 Xiaozhou Feng , Zihan Cheng , Matteo Ippoliti

There is a rich history of expressing the limiting free energy of mean-field spin glasses as a variational formula over probability measures on $[0,1]$, where the measure represents the similarity (or "overlap") of two independently sampled…

Mathematical Physics · Physics 2025-07-09 Erik Bates , Youngtak Sohn

The dynamical symmetry breaking in a quasi-(1+1)-dimensional relativistic model is investigated. The motions of particles in intrachain are described as a relativistic electron-hole gas, while the interchain hopping term is introduced as a…

Superconductivity · Physics 2016-09-08 Tadafumi Ohsaku

We investigate conformal properties of a one-dimensional quantum system with a long-range, Coulomb-like potential of the form $\frac{1}{|x|^{\sigma}}$, with $\sigma >0$. We compute the conformal anomaly $c$ as function of $\sigma$. We…

Strongly Correlated Electrons · Physics 2008-11-26 Carlos M. Naón , Mariano J. Salvay , Marta L. Trobo

Based on large-scale density matrix renormalization group techniques, we investigate the critical behaviors of quantum three-state Potts chains with long-range interactions. Using fidelity susceptibility as an indicator, we obtain a…

Strongly Correlated Electrons · Physics 2023-05-31 Xue-Jia Yu , Chengxiang Ding , Limei Xu

The existence theorem for replica-symmetry breaking (RSB) in the transverse field Sherrington-Kirkpatrick (SK) model is extended to the model with a general random exchange interactions. The relation between the expectation value of the…

Mathematical Physics · Physics 2023-02-16 C. Itoi , H. Ishimori , K. Sato , Y. Sakamoto

Long lived quasi-stationary states (QSSs) are a signature characteristic of long-range interacting systems both in the classical and in the quantum realms. Often, they emerge after a sudden quench of the Hamiltonian internal parameters and…

Quantum Physics · Physics 2021-08-20 Nicolò Defenu

In systems with a spontaneously broken continuous symmetry, the perturbative loop expansion is plagued with infrared divergences due to the coupling between transverse and longitudinal fluctuations. As a result the longitudinal…

Quantum Gases · Physics 2015-03-17 N. Dupuis
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