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Related papers: Phase transitions in the Blume-Capel model with tr…

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By constructing an exactly solvable spin model, we investigate the critical behaviors of transverse field Ising chains interpolated with cluster interactions, which exhibit various types of topologically distinct Ising critical points.…

Strongly Correlated Electrons · Physics 2024-07-12 Xue-Jia Yu , Wei-Lin Li

Topological gapless phases of matter have been a recent interest among theoretical and experimental condensed matter physicists. Fermionic chains with extended nearest neighbor couplings have been observed to show unique topological…

Quantum Physics · Physics 2025-04-08 Ranjith R Kumar , Hideaki Obuse

We study the three dimensional SU(2)-symmetric noncompact CP1 model, with two charged matter fields coupled minimally to a noncompact Abelian gauge-field. The phase diagram and the nature of the phase transitions in this model have…

Statistical Mechanics · Physics 2013-07-26 Egil V. Herland , Troels A. Bojesen , Egor Babaev , Asle Sudbø

We study random subgraphs of an arbitrary finite connected transitive graph $\mathbb G$ obtained by independently deleting edges with probability $1-p$. Let $V$ be the number of vertices in $\mathbb G$, and let $\Omega$ be their degree. We…

Probability · Mathematics 2007-05-23 Christian Borgs , Jennifer T. Chayes , Remco van der Hofstad , Gordon Slade , Joel Spencer

In this paper, we prove that Bernoulli percolation on bounded degree graphs with isoperimetric dimension $d>4$ undergoes a non-trivial phase transition (in the sense that $p_c<1$). As a corollary, we obtain that the critical point of…

Probability · Mathematics 2020-12-23 Hugo Duminil-Copin , Subhajit Goswami , Aran Raoufi , Franco Severo , Ariel Yadin

We study the qualitative features of the QCD phase diagram in the context of the linear quark-meson model with two flavours, using the exact renormalization group. We identify the universality classes of the second-order phase transitions…

High Energy Physics - Theory · Physics 2010-04-05 N. Tetradis

In this paper we give a complete analysis of the phase transitions in the mean-field Blume-Emery-Griffiths lattice-spin model with respect to the canonical ensemble, showing both a second-order, continuous phase transition and a…

Statistical Mechanics · Physics 2007-05-23 R. S. Ellis , P. Otto , H. Touchette

In this paper we give a complete analysis of the phase transitions in the mean-field Blume-Emery-Griffiths lattice-spin model with respect to the canonical ensemble, showing both a second-order, continuous phase transition and a…

Probability · Mathematics 2007-05-23 Richard S. Ellis , Peter T. Otto , Hugo Touchette

We present a new theoretical approach for the study of the phase diagram of interacting quantum particles: bosons, fermions or spins. In the neighborhood of a phase transition, the expected renormalization group structure is recovered both…

Strongly Correlated Electrons · Physics 2009-10-31 Pietro Gianinetti , Alberto Parola

The investigation and characterization of topological quantum phase transition between gapless phases is one of the recent interest of research in topological states of matter. We consider transverse field Ising model with three spin…

Strongly Correlated Electrons · Physics 2021-01-18 Ranjith R Kumar , Y R Kartik , S Rahul , Sujit Sarkar

The local properties of the spin one ferromagnetic Blume-Capel model defined on hierarchical lattices with dimension two and three are obtained by a numerical recursion procedure and studied as functions of the temperature and the reduced…

Statistical Mechanics · Physics 2017-12-12 Mário J. G. Rocha-Neto , G. Camelo-Neto , E. Nogueira , S. Coutinho

In recent years, neural networks have increasingly been employed to identify critical points of phase transitions. For the tricritical directed percolation model, its steady-state configurations encompass both first-order and second-order…

Statistical Mechanics · Physics 2024-11-08 Feng Gao , Jianmin Shen , Shanshan Wang , Wei Li , Dian Xu

Topological phase transitions in condensed matters accompany emerging singularities of the electronic wave function, often manifested by gap-closing points in the momentum space. In conventional topological insulators in three dimensions…

Strongly Correlated Electrons · Physics 2014-10-02 Bohm-Jung Yang , Eun-Gook Moon , Hiroki Isobe , Naoto Nagaosa

Large-scale Monte Carlo simulations of the bond-diluted three-dimensional 4-state Potts model are performed. The phase diagram and the physical properties at the phase transitions are studied using finite-size scaling techniques. Evidences…

Statistical Mechanics · Physics 2007-05-23 Christophe Chatelain , Bertrand Berche , Wolfhard Janke , Pierre-Emmanuel Berche

We obtain a representation of the free energy of an XY model on a fully connected graph with spins subjected to a random crystal field of strength $D$ and with random orientation $\alpha$. Results are obtained for an arbitrary probability…

Statistical Mechanics · Physics 2022-02-14 Sumedha , M. Barma

The recent proliferation of correlated percolation models---models where the addition of edges/vertices is no longer independent of other edges/vertices---has been motivated by the quest to find discontinuous percolation transitions. The…

Disordered Systems and Neural Networks · Physics 2015-06-05 L. Cao , J. M. Schwarz

Continuous quantum phase transitions that are beyond the conventional paradigm of fluctuations of a symmetry breaking order parameter are challenging for theory. These phase transitions often involve emergent deconfined gauge fields at the…

Strongly Correlated Electrons · Physics 2019-05-29 Zhen Bi , T. Senthil

We investigate the location of the critical and tricritical points of the three-dimensional Blume-Capel model by analyzing the behavior of the first Lee-Yang zero, the density of partition function zeros, and higher-order cumulants of the…

Statistical Mechanics · Physics 2024-12-30 Leïla Moueddene , Nikolaos G. Fytas , Bertrand Berche

We introduce and analyse the kinetic random-field nonreciprocal Ising model, which incorporates bimodal (double-delta) diffusive disorder along with pairwise nonreciprocal interactions between two different species. Using mean-field and…

Statistical Mechanics · Physics 2026-03-09 Arjun R , A. V. Anil Kumar

The phase diagram, ($T,\rho$), of a finite, constrained, and classical system is built from the analysis of cluster distributions in phase and configurational space. The obtained phase diagram can be split in three regions. One, low density…

Nuclear Theory · Physics 2007-05-23 A. Chernomoretz , P. Balenzuela , C. O. Dorso
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