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Recent theoretical studies predict that structural disorder, serving as a bridge connecting a crystalline material to an amorphous material, can induce a topological insulator from a trivial phase. However, to experimentally observe such a…

Disordered Systems and Neural Networks · Physics 2022-01-03 Kai Li , Jiong-Hao Wang , Yan-Bin Yang , Yong Xu

We study the stability of the topological phase in one-dimensional Su-Schrieffer-Heeger chain subject to the quasiperiodic hopping disorder. We investigate two different hopping disorder configurations, one is the Aubry-Andr\'{e}…

Disordered Systems and Neural Networks · Physics 2018-10-08 Tong Liu , Hao Guo

The Topological Hypothesis states that phase transitions should be related to changes in the topology of configuration space. The necessity of such changes has already been demonstrated. We characterize exactly the topology of the…

Statistical Mechanics · Physics 2007-05-23 S. Risau-Gusman , A. C. Ribeiro-Teixeira , D. A. Stariolo

Sequence heterogeneity broadens the binding transition of a polymer onto a linear or planar substrate. This effect is analyzed in a real-space renormalization group scheme designed to capture the statistics of rare events. In the strongly…

Statistical Mechanics · Physics 2009-10-31 Lei-Han Tang , Hugues Chaté

The formation and migration of disconnections (line defects constrained to the grain boundary (GB) plane with both dislocation and step character) control many of the kinetic and dynamical properties of GBs and the polycrystalline materials…

Materials Science · Physics 2020-12-16 Kongtao Chen , David J. Srolovitz , Jian Han

We study the formation of topological textures in a nonequilibrium phase transition of an overdamped classical O(3) model in 2+1 dimensions. The phase transition is triggered through an external, time-dependent effective mass, parameterized…

High Energy Physics - Phenomenology · Physics 2009-10-31 G. J. Stephens

Two known distinct examples of one-dimensional systems which are known to exhibit a phase transition are critically examined: (A) a lattice model with harmonic nearest-neighbor elastic interactions and an on-site Morse potential, and (B)…

Statistical Mechanics · Physics 2007-06-17 N. Theodorakopoulos

Two mathematical mechanisms, responsible for the generation of a thermodynamic singularity, are individuated. For a class of short-range, confining potentials, a topology change in some family of configuration space submanifolds is the only…

Statistical Mechanics · Physics 2008-11-26 Michael Kastner

Binding and unbinding of vortices drives Kosterlitz-Thouless phase transition in two-dimensional XY model. Here we investigate whether similar mechanism works in two-dimensional Heisenberg model, by using the fluctuation of skyrmion number…

Statistical Mechanics · Physics 2025-03-19 Shan-Chang Tang , Yu Shi

We study phase transitions in $XY$ models, generalized by inclusion of $n$ higher-order pairwise interactions of equal strength, by Monte Carlo simulation. It is found that by adding new terms the Berezinskii-Kosterlitz-Thouless (BKT)…

Statistical Mechanics · Physics 2025-02-11 Milan Žukovič

We study phase transitions of coupled two dimensional XY systems with spatial anisotropy and $U(1) \times \mathbb{Z}_2$ symmetry, motivated by spinless bosonic atoms trapped in square optical lattice on the metastable first excited…

Strongly Correlated Electrons · Physics 2007-09-24 Cenke Xu

We show that in a system of one dimensional spinless fermions a topological phase and phase transition can emerge only through interaction. By allowing a dimerized or bond-alternating nearest neighbour interaction we show that the system…

Strongly Correlated Electrons · Physics 2022-11-17 Suman Mondal , Ashirbad Padhan , Tapan Mishra

Networked nonlinear systems present a variety of emergent phenomena as a result of the mutual interactions between their units. An interesting feature of these systems is the presence of stable periodic behavior even when each unit…

Adaptation and Self-Organizing Systems · Physics 2022-06-01 Leonard Hallier , Everton S. Medeiros , Antonio Mihara , Rene O. Medrano-T , Anna Zakharova

Metastability is a quintessential feature of first order quantum phase transitions, which is lost either by dynamical instability or by nucleating bubbles of a true vacuum through quantum tunneling. By considering a drive across the first…

Statistical Mechanics · Physics 2021-07-28 Aritra Sinha , Titas Chanda , Jacek Dziarmaga

We develop a gauge theory of the critical behavior of the topological excitations-driven Berezinskii-Kosterlitz-Thouless (BKT) phase transition in the XY model with weak quenched disorder. We find that while in two-dimensions the liquid of…

Statistical Mechanics · Physics 2018-01-11 M. G. Vasin , V. N. Ryzhov , V. M. Vinokur

We investigate the nature of the quantum phase transition out of charge-density-wave phase in the spinless fermion model with nearest- and next-nearest-neighbor interaction at one-third filling. Using an extensive Density Matrix…

Strongly Correlated Electrons · Physics 2023-01-02 Natalia Chepiga

We investigate the out of equilibrium dynamics of the two-dimensional XY model when cooled across the Berezinskii-Kosterlitz-Thouless (BKT) phase transition using different protocols. We focus on the evolution of the growing correlation…

Statistical Mechanics · Physics 2015-03-17 Asja Jelic , Leticia F. Cugliandolo

We analyze the possible existence of topological phases in two-legged spin ladders considering a staggered interaction in both chains. When the staggered interaction in one chain is shifted by one site with respect to the other chain, the…

Strongly Correlated Electrons · Physics 2020-02-18 Greta Ghelli , Giuseppe Magnifico , Cristian Degli Esposti Boschi , Elisa Ercolessi

We investigate the dynamical stability and phase transition behavior in a holographic superfluid model incorporating higher-order self-interaction terms $\lambda |\psi|^4$, $\tau|\psi|^6$, and a non-minimal coupling…

General Relativity and Quantum Cosmology · Physics 2026-04-02 Zi-Qiang Zhao , Mei-Ling Yan , Zhang-Yu Nie , Jing-Fei Zhang , Xin Zhang

Compact stars above a critical stellar mass develop large scalar fields in some scalar-tensor theories. This scenario, called spontaneous scalarization, has been an intense topic of study since it passes weak-field gravity tests naturally…

General Relativity and Quantum Cosmology · Physics 2025-08-07 Kıvanç İ. Ünlütürk , Semih Tuna , Oğuzhan K. Yamak , Fethi M. Ramazanoğlu