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We show that in the Ising pure $p$-spin model of spin glasses, shattering takes place at all inverse temperatures $\beta \in (\sqrt{(2 \log p)/p}, \sqrt{2\log 2})$ when $p$ is sufficiently large as a function of $\beta$. Of special interest…

Probability · Mathematics 2025-01-14 Ahmed El Alaoui

We study the superfluid-Mott insulator (SF-MI) transition in an one-dimensional optical lattice system, and employ the Bose-Hubbard model in two dimension with a combined potential of an optical lattice in one direction and a confining…

Quantum Gases · Physics 2014-02-06 Motoyoshi Inoue , Keita Kobayashi , Yusuke Nakamura , Yoshiya Yamanaka

We study phase transition behavior of the Heisenberg model on a distorted triangular lattice with competing interactions. The ground-state phase diagram indicates that underlying symmetry can be changed by tuning parameters. We focus on two…

Statistical Mechanics · Physics 2013-07-16 Ryo Tamura , Shu Tanaka , Naoki Kawashima

We study the Blume-Emery-Griffiths spin glass model in presence of an attractive coupling between real replicas, and evaluate the effective potential as a function of the density overlap. We find that there is a region, above the first…

Statistical Mechanics · Physics 2009-11-07 A. de Candia

Using a multicanonical Metropolis algorithm we have performed Monte Carlo simulations of the 3D 3-state Potts model on $L^3$ lattices with L=20, 30, 40, 50. Covering a range of inverse temperatures from $\beta_{\min}=0$ to…

High Energy Physics - Lattice · Physics 2008-11-26 Alexei Bazavov , Bernd A. Berg

Spin-glass (SG) and chiral-glass (CG) orderings in three dimensional (3D) Heisenberg spin glass with and without magnetic anisotropy are studied by using large-scale off-equilibrium Monte Carlo simulations. A characteristic time of…

Disordered Systems and Neural Networks · Physics 2016-08-31 Mitsuhiro Matsumoto , Koji Hukushima , Hajime Takayama

The limit of small entropy production is reached in relaxing systems long after preparation, and in stationary driven systems in the limit of small driving power. Surprisingly, for extended systems this limit is not in general the…

Condensed Matter · Physics 2009-10-31 Leticia F. Cugliandolo , Jorge Kurchan

The evidently supersymmetric four-dimensional Wess-Zumino model with quenched disorder is considered at the one-loop level. The infrared fixed points of a beta-function form the moduli space $M = RP^2$ where two types of phases were found:…

High Energy Physics - Theory · Physics 2014-11-18 Sergei Gukov

Aspects of the dynamical glass transition are considered within a mean field spin glass model. At the dynamical transition the the system condenses in a state of lower entropy. The difference, the information entropy or complexity, is…

Condensed Matter · Physics 2007-05-23 Th. M. Nieuwenhuizen

An explanation for the glass-like anomaly observed in the low-temperature specific heat of incommensurate phases is proposed. The key point of this explanation is the proper account for the phason damping when computing the thermodynamic…

Statistical Mechanics · Physics 2009-11-10 A. Cano , A. P. Levanyuk

We study the three-dimensional quantum Ising spin glass in a transverse magnetic field following the evolution of the bond probability distribution under Renormalisation Group transformations. The phase diagram (critical temperature $T_c$…

Condensed Matter · Physics 2009-10-22 Beatriz Boechat , Raimundo R. dos Santos , M. A. Continentino

Kagome metals AV3Sb5 (where the A can stand for K, Cs, or Rb) display a rich phase diagram of correlated electron states, including superconductivity and density waves. Within this landscape, recent experiments revealed signs of a…

Strongly Correlated Electrons · Physics 2023-08-08 Hong Li , He Zhao , Brenden Ortiz , Yuzki Oey , Ziqiang Wang , Stephen D. Wilson , Ilija Zeljkovic

We present a large-scale simulation of the three-dimensional and mean-field spin glasses down to a very low but finite temperature. We extrapolate pertinent observables, e.g., the disorder-averaged central weight to zero temperature,…

Disordered Systems and Neural Networks · Physics 2025-05-13 Wenlong Wang

We consider thermodynamic and dynamic phase transitions in plaquette spin models of glasses. The thermodynamic transitions involve coupled (annealed) replicas of the model. We map these coupled-replica systems to a single replica in a…

Statistical Mechanics · Physics 2015-08-19 Robert M. Turner , Robert L. Jack , Juan P. Garrahan

In this paper we consider an exactly solvable model which displays glassy behavior at zero temperature due to entropic barriers. The new ingredient of the model is the existence of different energy scales or modes associated to different…

Statistical Mechanics · Physics 2009-11-07 L. Leuzzi , F. Ritort

We search for a Gardner transition in glassy glycerol, a standard molecular glass, measuring the third harmonics cubic susceptibility $\chi_3^{(3)}$ from slightly below the usual glass transition temperature down to $10K$. According to the…

Disordered Systems and Neural Networks · Physics 2021-01-20 Samuel Albert , Giulio Biroli , François Ladieu , Roland Tourbot , Pierfrancesco Urbani

We study evolutionary canalization using a spin-glass model with replica theory, where spins and their interactions are dynamic variables whose configurations correspond to phenotypes and genotypes, respectively. The spins are updated under…

Disordered Systems and Neural Networks · Physics 2015-06-03 Ayaka Sakata , Koji Hukushima , Kunihiko Kaneko

In this article we study a simple spin model which has a non-interacting Hamiltonian but constrained dynamics. The model, which is a simplification of a purely toplogical cellular model, displays glassy behaviour, involves activated…

Disordered Systems and Neural Networks · Physics 2009-11-07 Lexie Davison , David Sherrington , Juan P. Garrahan , Arnaud Buhot

We analyze the effects of adiabatic ramping of optical lattices on the temperature of spin-1 bosons in a homogeneous lattice. Using mean-field theory, we present the isentropes in the temperature-interaction strength ($T,U_0$) plane for…

Quantum Gases · Physics 2013-05-08 K. W. Mahmud , G. G. Batrouni , R. T. Scalettar

The spin-glass $q$-state Potts model on $d$-dimensional diamond hierarchical lattices is investigated by an exact real space renormalization group scheme. Above a critical dimension $d_l(q)$ for $q > 2$, the coupling constants probability…

Disordered Systems and Neural Networks · Physics 2013-09-19 Washington de Lima , Gustavo Camelo-Neto , Sérgio Coutinho