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We consider systems whose steady-states exhibit a nonequilibrium phase transition from an active state to one -among an infinite number- absorbing state, as some control parameter is varied across a threshold value. The pair contact…

Statistical Mechanics · Physics 2009-11-07 F. van Wijland

The numerical simulation of strongly first-order phase transitions has remained a notoriously difficult problem even for classical systems due to the exponentially suppressed (thermal) equilibration in the vicinity of such a transition. In…

Statistical Mechanics · Physics 2010-04-14 Bela Bauer , Emanuel Gull , Simon Trebst , Matthias Troyer , David A. Huse

We study properties of normal, superconducting (SC) and CDW states for an attractive Hubbard model on the square lattice, using a variational Monte Carlo method. In trial wave functions, we introduce an interspinon binding factor,…

Strongly Correlated Electrons · Physics 2016-05-31 Shun Tamura , Hisatoshi Yokoyama

We consider a class of spin systems on $\Z^d$ with vector valued spins $(\bS_x)$ that interact via the pair-potentials $J_{x,y} \bS_x\cdot\bS_y$. The interactions are generally spread-out in the sense that the $J_{x,y}$'s exhibit either…

Mathematical Physics · Physics 2007-05-23 Marek Biskup , Lincoln Chayes , Nicholas Crawford

First-order phase transitions, classical or quantum, subject to randomness coupled to energy-like variables (bond randomness) can be rounded, resulting in continuous transitions (emergent criticality). We study perhaps the simplest such…

Disordered Systems and Neural Networks · Physics 2016-09-08 Arash Bellafard , Sudip Chakravarty

We investigate the continuum q-Potts model at its transition point from the disordered to the ordered regime, with particular emphasis on the coexistence of disordered and ordered phases in the high-q case. We argue that occurrence of phase…

Mathematical Physics · Physics 2007-05-23 Hans-Otto Georgii , Jozsef Lorinczi , Jani M. Lukkarinen

We investigate the zero-temperature phase diagram of the one-dimensional Bose-Hubbard model with power-law hopping decaying with distance as $1/r^\alpha$ using exact large scale Quantum Monte-Carlo simulations. For all $1<\alpha\leq 3$ the…

Quantum Gases · Physics 2025-01-09 Tanul Gupta , Nikolay V. Prokof'ev , Guido Pupillo

We investigate the two-dimensional four-color Ashkin-Teller model by means of large-scale Monte-Carlo simulations. We demonstrate that the first-order phase transition of the clean system is destroyed by random disorder introduced via site…

Disordered Systems and Neural Networks · Physics 2017-06-19 Ahmed K. Ibrahim , Thomas Vojta

We study the effect of particle mobility on phase transitions in a spin fluid in two dimensions. The presence of a phase transition of the BKT universality class is shown in an off-lattice model of particles with purely repulsive…

Statistical Mechanics · Physics 2023-02-08 Thomas Bissinger , Matthias Fuchs

We experimentally study the critical properties of the non-equilibrium solid-liquid-like transition that takes place in vibrated granular matter. The critical dynamics is characterized by the coupling of the density field with the…

Statistical Mechanics · Physics 2015-06-23 Gustavo Castillo , Nicolás Mujica , Rodrigo Soto

We investigate the effect of quenched bond disorder on the two-dimensional three-color Ashkin-Teller model, which undergoes a first-order phase transition in the absence of impurities. This is one of the simplest and striking models in…

Disordered Systems and Neural Networks · Physics 2015-06-24 Arash Bellafard , Sudip Chakravarty , Matthias Troyer , Helmut G. Katzgraber

Using high-precision Monte-Carlo simulations based on a parallel version of the Wang-Landau algorithm and finite-size scaling techniques we study the effect of quenched disorder in the crystal-field coupling of the Blume-Capel model on the…

Statistical Mechanics · Physics 2020-12-23 Erol Vatansever , Zeynep Demir Vatansever , Panagiotis E. Theodorakis , Nikolaos G. Fytas

We study Glauber dynamics for the mean-field (Curie-Weiss) Potts model with $q\geq 3$ states and show that it undergoes a critical slowdown at an inverse-temperature $\beta_s(q)$ strictly lower than the critical $\beta_c(q)$ for uniqueness…

Probability · Mathematics 2015-06-04 Paul Cuff , Jian Ding , Oren Louidor , Eyal Lubetzky , Yuval Peres , Allan Sly

A hybrid Potts model where a random concentration $p$ of the spins assume $q_0$ states and a random concentration $1-p$ of the spins assume $q>q_0$ states is introduced. It is known that when the system is homogeneous, with an integer spin…

Statistical Mechanics · Physics 2022-05-03 Nir Schreiber , Reuven Cohen , Gideon Amir , Simi Haber

Neutron scattering is used to study magnetic field induced ordering in the quasi-1D quantum spin-tube compound Sul--Cu$_2$Cl$_4$ that in zero field has a non-magnetic spin-liquid ground state. The experiments reveal an incommensurate chiral…

Strongly Correlated Electrons · Physics 2009-11-13 V. O. Garlea , A. Zheludev , K. Habicht , M. Meissner , B. Grenier , L. -P. Regnault , E. Ressouche

We investigate the crossover properties of the frustrated percolation model on a two-dimensional square lattice, with asymmetric distribution of ferromagnetic and antiferromagnetic interactions. We determine the critical exponents nu, gamma…

Statistical Mechanics · Physics 2015-06-25 L. Cannavacciuolo , A. de Candia , A. Coniglio

We study the nature of the phase transition in the fully frustrated simple cubic lattice with the XY spin model. This system is the Villain's model generalized in three dimensions. The ground state is very particular with a 12-fold…

Statistical Mechanics · Physics 2010-12-30 V. Thanh Ngo , D. Tien Hoang , Hung The Diep

Using the Baxter-Kelland-Wu coupling and the convergence of the height function of the six-vertex model to the Gaussian Free Field, we extract critical exponents for the planar critical random-cluster model at $q=4$, and the planar…

The crossover behavior of various models exhibiting phase transition to absorbing phase with parity conserving class has been investigated by numerical simulations and cluster mean-field method. In case of models exhibiting Z_2 symmetric…

Statistical Mechanics · Physics 2009-11-13 Geza Odor , Nora Menyhard

Quantum phase transitions (QPTs) in the spin-boson model with/without the rotating-wave approximation (RWA) are systematically investigated through variational calculations using a sub-Ohmic bath with high spectral density. Four cases…

Quantum Physics · Physics 2026-03-17 Nengji Zhou , Yulong Shen , Zhe Sun
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