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We have carried out analytical and numerical studies of the spin-boson model in the sub-ohmic regime with the influence of both the diagonal and off-diagonal coupling accounted for via the Davydov D1 variational ansatz. While a second-order…

Strongly Correlated Electrons · Physics 2013-10-25 Zhiguo Lu , Liwei Duan , Xin Li , Prathamesh M. Shenai , Yang Zhao

Periodically driven quantum systems manifest various non-equilibrium features which are absent at equilibrium. For example, discrete time-translation symmetry can be broken in periodically driven quantum systems leading to an exotic phase…

Quantum Physics · Physics 2020-04-09 C. M. Dai , Z. C. Gu , X. X. Yi

Tricritical Ising (TCI) phase transition is known to occur in several interacting spin and Majorana fermion models and is described in terms of a supersymmetric conformal field theory (CFT) with central charge $c=7/10$. The field content of…

Strongly Correlated Electrons · Physics 2020-10-15 Chengshu Li , Hiromi Ebisu , Sharmistha Sahoo , Yuval Oreg , Marcel Franz

The interplay between dissipation and correlation can lead to novel emergent phenomena in open systems. Here we investigate ``steady-state topological order'' defined by the robust topological degeneracy of steady states, which is a…

Quantum Physics · Physics 2026-05-27 Zijian Wang , Xu-Dong Dai , He-Ran Wang , Zhong Wang

We investigate two variants of quantum compass models (QCMs). The first, an orbital-only honeycomb QCM, is shown to exhibit a quantum phase transition (QPT) from a $XX$- to $ZZ$-ordered phase in the $3d$-Ising universality class, in accord…

Strongly Correlated Electrons · Physics 2023-06-28 Soumya Sur , M. S. Laad , Arya Subramonian , S. R. Hassan

We report a new type of multicritical point that arises from competition between the Higgs and confinement transitions in a Z_2 gauge system. The phase diagram of the 3d gauge Higgs model has been obtained by Monte-Carlo simulation on large…

Statistical Mechanics · Physics 2014-11-18 I. S. Tupitsyn , A. Kitaev , N. V. Prokof'ev , P. C. E. Stamp

The topological theory of phase transitions was proposed on the basis of different arguments, the most important of which are: a direct evidence of the relation between topology and phase transitions for some exactly solvable models; an…

Statistical Mechanics · Physics 2018-02-28 Matteo Gori , Roberto Franzosi , Marco Pettini

We introduce the notion of a dynamical topological order parameter (DTOP) that characterises dynamical quantum phase transitions (DQPTs) occurring in the subsequent temporal evolution of "two dimensional" closed quantum systems, following a…

Statistical Mechanics · Physics 2017-07-19 Utso Bhattacharya , Amit Dutta

Using a combination of the mean-field Bogoliubov deGennes (BdG) approach and the Density Matrix Renormalization Group (DMRG) method, we discover first order topological transitions between topological superconducting and trivial insulating…

Strongly Correlated Electrons · Physics 2023-03-29 Shruti Agarwal , Shreekant Gawande , Satoshi Nishimoto , Jeroen van den Brink , Sanjeev Kumar

As an empirical tool in materials science and engineering, the iconic phase diagram owes its robustness and practicality to the topological characteristics rooted in the celebrated Gibbs phase law (F = C - P + 2). When crossing the phase…

Planar topological superconductors with power-law-decaying pairing display different kinds of topological phase transitions where quasiparticles dubbed nonlocal-massive Dirac fermions emerge. These exotic particles form through long-range…

Superconductivity · Physics 2019-07-17 T. O. Puel , O. Viyuela

Many-body instabilities and topological physics are two attractive topics in condensed matter physics. It is intriguing to explore the interplay between these phenomena in a single quantum material. Here, using the prototypical charge…

Superconductivity · Physics 2022-10-18 Zishen Wang , Jingyang You , Chuan Chen , Jinchao Mo , Jingyu He , Lishu Zhang , Jun Zhou , Kian Ping Loh , Yuan Ping Feng

Inspired by Chern-Simons effective theory description of symmetry protected topological (SPT) phases in two dimensions, we present a projective construction for many-body wavefunctions of SPT phases. Using this projective construction we…

Strongly Correlated Electrons · Physics 2014-06-02 Yuan-Ming Lu , Dung-Hai Lee

Typical topological systems undergo a topological phase transition in the presence of a strong enough perturbation. In this paper, we propose an adjustable frustrated Toric code with a "topological line" at which no phase transition happens…

Strongly Correlated Electrons · Physics 2021-09-29 M. H. Zarei , J. Abouie

Amorphous topological states, which are independent of the specific spatial distribution of microscopic constructions, have gained much attention. Recently, higher-order topological insulators, which are a new class of topological phases of…

Mesoscale and Nanoscale Physics · Physics 2022-10-04 Tan Peng , Chun-Bo Hua , Rui Chen , Zheng-Rong Liu , Hai-Ming Huang , Bin Zhou

Quantum Ising model in a transverse field is of the simplest quantum many body systems used for studying universal properties of quantum phase transitions. Interestingly, it is well-known that such phase transitions can be mapped to…

Quantum Physics · Physics 2019-09-26 Mohammad Hossein Zarei

We construct, by a procedure involving a dimensional reduction from a Chern-Simons theory with borders, an effective theory for a 1+1 dimensional superconductor. 1That system can be either in an ordinary phase or in a topological one,…

High Energy Physics - Theory · Physics 2021-08-12 C. D. Fosco , F. A. Schaposnik

Deconfined regions in relativistic heavy ion collisions are limited to small volumes surrounded by a confined exterior. Here the geometry of a double layered torus is discussed, which allows for different temperatures in its two layers.…

High Energy Physics - Lattice · Physics 2010-11-05 Bernd A. Berg , Alexei Bazavov , Hao Wu

We report the nature of transitions from nonsynchronous to complete synchronization (CS) state in arrays of time-delay systems, where the systems are coupled with instantaneous diffusive coupling. We demonstrate that the transition to CS…

Chaotic Dynamics · Physics 2012-07-23 R. Suresh , D. V. Senthilkumar , M. Lakshmanan , J. Kurths

The simplest topologically ordered phase in 2+1D is the deconfined phase of $Z_2$ gauge theory, realized for example in the toric code. This phase permits a duality that exchanges electric and magnetic excitations (``$e$'' and ``$m$''…

Statistical Mechanics · Physics 2021-01-01 Andrés M. Somoza , Pablo Serna , Adam Nahum