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Related papers: The Levy spin glass transition

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A spin model which exhibits glassy dynamics has been proposed by Newman and Moore. This model possesses no randomness for exchange interactions. We propose partial trace methods for obtaining static exact solutions of this model under free…

Statistical Mechanics · Physics 2012-04-24 Chiaki Yamaguchi

We investigate the replica symmetry broken (RSB) phase of spin glass (SG) models in a random field defined on Bethe lattices at zero temperature. From the properties of the RSB solution we deduce a closed equation for the extreme values of…

Disordered Systems and Neural Networks · Physics 2022-11-11 Gianmarco Perrupato , Maria Chiara Angelini , Giorgio Parisi , Federico Ricci-Tersenghi , Tommaso Rizzo

We consider the spin glass model in which the number of spin components, m, is infinite. In the formulation of the problem appropriate for numerical calculations proposed by several authors, we show that the order parameter defined by the…

Disordered Systems and Neural Networks · Physics 2009-11-10 L. W. Lee , A. Dhar , A. P. Young

We introduce an effective field theory for the vicinity of a zero temperature quantum transition between a metallic spin glass (``spin density glass'') and a metallic quantum paramagnet. Following a mean field analysis, we perform a…

Condensed Matter · Physics 2009-10-28 Subir Sachdev , N. Read , R. Oppermann

A p-spin interaction Ashkin-Teller spin glass, with three independent Gaussian probability distributions for the exchange interactions, is studied by means of the replica method. A simple phase diagram is obtained within the…

Condensed Matter · Physics 2009-11-07 I. S. Queiroz , F. A. da Costa , F. D. Nobre

We study the SUSY-breaking complexity of the Bethe Lattice Spin-Glass in the zero temperature limit. We consider both the Gaussian and the bimodal distribution of the coupling constants. For $J_{ij}=\pm 1$ the SUSY breaking theory yields…

Disordered Systems and Neural Networks · Physics 2013-10-24 Giorgio Parisi , Tommaso Rizzo

The glass transition can simply be viewed as the point at which the viscosity of a structurally disordered liquid reaches 10^{13} Poise [1]. This definition is operational but it sidesteps fundamental controversies about the glass: Is the…

Statistical Mechanics · Physics 2017-05-10 Ludger Santen , Werner Krauth

The dynamical magnetic properties of an Ising spin glass Fe$_{0.55}$Mn$_{0.45}$TiO$_3$ are studied under various magnetic fields. Having determined the temperature and static field dependent relaxation time $\tau(T;H)$ from ac magnetization…

Disordered Systems and Neural Networks · Physics 2009-11-10 P. E. Jönsson , H. Takayama , H. Aruga Katori , A. Ito

We consider the Ising spin glass for the arbitrary spin S with the short- ranged interaction using the Bethe- Peierls approximation previously formulated by Serva and Paladin for the same system but limited to S=1/2. Results obtained by us…

Disordered Systems and Neural Networks · Physics 2009-10-31 K. Walasek , K. Lukierska- Walasek , M. Wodawski

The classical transverse field Ising spin- glass model with short-range interactions is investigated beyond the mean- field approximation for a real d- dimensional lattice. We use an appropriate nontrivial modification of the Bethe- Peierls…

Disordered Systems and Neural Networks · Physics 2009-10-31 K Walasek , K Lukierska- Walasek , L De Cesare , I Rabuffo

In this paper we propose a simple mean-field "toy" model for the liquid-glass phase transition. This is the system of $N$ point-like particles confined in a finite volume of a $D$-dimensional space interacting via infinite-range oscillating…

Disordered Systems and Neural Networks · Physics 2007-05-23 Victor Dotsenko

We found a finite temperature glass transition in the absence of quenched disorder in frustrated Josephson junction arrays (JJA) on a square lattice with anisotropic Josephson couplings by numerical simulations. The vortexes develop zigzag…

Superconductivity · Physics 2009-07-23 Hajime Yoshino , Tomoaki Nogawa , Bongsoo Kim

In ref. cond-mat/0005372, Sastry studies by numerical simulations the phase diagram of a simple fragile glass-forming liquid, presenting very interesting and clear results. We apply to this system, at various density values, the analytic…

Disordered Systems and Neural Networks · Physics 2007-05-23 Barbara Coluzzi , Giorgio Parisi , Paolo Verrocchio

Symmetry arguments are used to derive a set of exact identities between irreducible vertex functions for the replica symmetric field theory of the Ising spin glass in zero magnetic field. Their range of applicability spans from mean field…

Disordered Systems and Neural Networks · Physics 2007-05-23 T. Temesvari

We prove that the Aizenman-Contucci relations, well known for fully connected spin glasses, hold in diluted spin glasses as well. We also prove more general constraints in the same spirit for multi-overlaps, systematically confirming and…

Statistical Mechanics · Physics 2007-06-13 Adriano Barra , Luca De Sanctis

We study the AT line in the one-dimensional power-law diluted XY spin glass model, in which the probability that two spins separated by a distance $r$ interact with each other, decays as $1/r^{2\sigma}$. We develop a heat bath algorithm to…

Disordered Systems and Neural Networks · Physics 2023-07-25 Bharadwaj Vedula , M. A. Moore , Auditya Sharma

We analyze the low-temperature behavior of mean-field equations of Thouless, Anderson, and Palmer (TAP). We demonstrate that degeneracy in free energy makes the low-temperature TAP states unstable. Different solutions of the TAP equations,…

Disordered Systems and Neural Networks · Physics 2008-09-16 V. Janis

Zeros of the moment of the partition function $[Z^n]_{\bm{J}}$ with respect to complex $n$ are investigated in the zero temperature limit $\beta \to \infty$, $n\to 0$ keeping $y=\beta n \approx O(1)$. We numerically investigate the zeros of…

Disordered Systems and Neural Networks · Physics 2015-05-18 Tomoyuki Obuchi , Yoshiyuki Kabashima , Hidetoshi Nishimori , Masayuki Ohzeki

In conventional spin glasses, magnetic interaction is not strongly anisotropic and the entire spin system is believed to be frozen below the spin-glass transition temperature. In La2Cu0.94Li0.06O4, for which the in-plane exchange…

Superconductivity · Physics 2007-05-23 Y. Chen , Wei Bao , Y. Qiu , J. E. Lorenzo , J. L. Sarrao , D. L. Ho , Min Y. Lin

The spin-glass transition in external magnetic field is studied both in and out of the limit of validity of mean-field theory on a diluted one dimensional chain of Ising spins where exchange bonds occur with a probability decaying as the…

Disordered Systems and Neural Networks · Physics 2013-05-29 L Leuzzi , G. Parisi , F. Ricci-Tersenghi , J. J. Ruiz-Lorenzo