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We study symmetry breaking quantum phase transitions in topological insulators and superconductors where the single electron gap remains open in the bulk. Specifically, we consider spontaneous breaking of the symmetry that protects the…

Strongly Correlated Electrons · Physics 2012-06-08 Tarun Grover , Ashvin Vishwanath

A zero-field Ising model with ferromagnetic coupling constants on the so-called Labyrinth tiling is investigated. Alternatively, this can be regarded as an Ising model on a square lattice with a quasi-periodic distribution of up to eight…

solv-int · Physics 2015-06-26 M. Baake , U. Grimm , R. J. Baxter

We study the universal properties of the phase diagram of QCD near the critical point using the exact renormalization group. For two-flavour QCD and zero quark masses we derive the universal equation of state in the vicinity of the…

High Energy Physics - Theory · Physics 2009-11-10 N. Brouzakis , N. Tetradis

We present a finite-size scaling analysis of high-statistics Monte Carlo simulations of the three-dimensional randomly site-diluted and bond-diluted Ising model. The critical behavior of these systems is affected by slowly-decaying scaling…

Disordered Systems and Neural Networks · Physics 2011-02-16 Martin Hasenbusch , Francesco Parisen Toldin , Andrea Pelissetto , Ettore Vicari

Conditional probability distributions describe the effect of learning an initially unknown classical state through Bayesian inference. Here we demonstrate the existence of a \textit{learning transition}, having signatures in the long…

Statistical Mechanics · Physics 2026-05-13 Malte Pütz , Samuel J. Garratt , Hidetoshi Nishimori , Simon Trebst , Guo-Yi Zhu

The contact process is a simple infection spreading model showcasing an out-of-equilibrium phase transition between a macroscopically active and an inactive phase. Such absorbing state phase transitions are often sensitive to the presence…

Statistical Mechanics · Physics 2025-09-22 Leone V. Luzzatto , Juan Felipe Barrera López , István A. Kovács

We have studied the antiferromagnetic Ising chain in a transverse magnetic field $h_{x}$ and uniform longitudinal field $h_{z}$. Using the density matrix renormalization group calculation combined with a finite-size scaling the ground state…

Strongly Correlated Electrons · Physics 2009-11-10 A. A. Ovchinnikov , D. V. Dmitriev , V. Ya. Krivnov , V. O. Cheranovskii

We show that Majorana edge modes of two-dimensional spin-triplet topological superconductors have Ising-like spin density whose direction is determined by the d-vector characterizing the spin-triplet pairing symmetry. Exchange coupling…

Superconductivity · Physics 2011-03-28 Ryuichi Shindou , Akira Furusaki , Naoto Nagaosa

The upper critical dimension of the Ising model is known to be $d_c=4$, above which critical behavior is regarded as trivial. We hereby argue from extensive simulations that, in the random-cluster representation, the Ising model…

Statistical Mechanics · Physics 2022-09-01 Sheng Fang , Zongzheng Zhou , Youjin Deng

The critical behavior of a relativistic $\mathbb{Z}_2$-symmetric Yukawa model at zero temperature and density is discussed for a continuous number of fermion degrees of freedom and of spacetime dimensions, with emphasis on the role played…

High Energy Physics - Theory · Physics 2015-06-10 Gian Paolo Vacca , Luca Zambelli

We analyze the evolution of the particle spectrum of the Tricritical Ising Model by varying the couplings of the energy and vacancy density fields. The particle content changes from the spectrum of a supersymmetric theory (either of an…

High Energy Physics - Theory · Physics 2008-11-26 Luca Lepori , Giuseppe Mussardo , Gabor Zs. Toth

We examine the phase behavior of a quasi-one-dimensional system of hard squares with side-length $\sigma$, where the particles are confined between two parallel walls and only nearest neighbor interactions occur. As in our previous work…

Statistical Mechanics · Physics 2017-05-03 Peter Gurin , Gerardo Odriozola , Szabolcs Varga

We show, via explicit computation on a constrained bosonic model, that the presence of subsystem symmetries can lead to a quantum phase transition (QPT) where the critical point exhibits an emergent enhanced symmetry. Such a transition…

Strongly Correlated Electrons · Physics 2025-08-27 Anirudha Menon , Anwesha Chattopadhyay , K. Sengupta , Arnab Sen

Using a Wang-Landau entropic sampling scheme, we investigate the effects of quenched bond randomness on a particular case of a triangular Ising model with nearest- ($J_{nn}$) and next-nearest-neighbor ($J_{nnn}$) antiferromagnetic…

Statistical Mechanics · Physics 2009-10-28 N. G. Fytas , A. Malakis

The physics of Majorana fermion occurs at the edge and interface of many one-dimensional quantum many body system with gapped excitation spectrum. We present the renormalization group equations for strongly interacting helical liquid. We…

Mesoscale and Nanoscale Physics · Physics 2015-06-23 Sujit Sarkar

In this paper, we investigate the non-Markovian quantum transport dynamics of a two-terminal Majorana device that is made of an asymmetric topological superconducting chain coupled to two leads. This asymmetric superconducting chain is…

Strongly Correlated Electrons · Physics 2022-07-20 Chuan-Zhe Yao , Wei-Min Zhang

Transfer-matrix methods, with the help of finite-size scaling and conformal invariance concepts, are used to investigate the critical behavior of two-dimensional square-lattice Ising spin-1/2 systems with first- and second-neighbor…

Statistical Mechanics · Physics 2011-10-03 S. L. A. de Queiroz

The critical behaviour of the randomly spin-diluted Ising model in two space dimensions is investigated by a new method which combines a grand ensemble approach to disordered systems proposed by Morita with the phenomenological…

Condensed Matter · Physics 2009-10-22 R. Kühn

Noncentrosymmetric superconductors with line nodes are expected to possess topologically protected flat zero-energy bands of surface states, which can be described as Majorana modes. We here investigate their fate if residual interactions…

Strongly Correlated Electrons · Physics 2020-02-05 Janna E. Rückert , Gergő Roósz , Carsten Timm

The percolation study offers valuable insights into the characteristics of phase transition, shedding light on the underlying mechanisms that govern the formation of global connectivity within the system. We explore the percolation phase…

Nuclear Theory · Physics 2025-04-02 Ranran Guo , Xiaobing Li , Rui Wang , Shiyang Chen , Yuanfang Wu , Zhiming Li
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