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We revisited, by means of numerical simulations, the one dimensional bond diluted Levy Ising spin glasses outside the limit of validity of mean field theories. In these models the probability that two spins at distance $r$ interact (via a…

Disordered Systems and Neural Networks · Physics 2015-02-19 L. Leuzzi , G. Parisi , F. Ricci-Tersenghi , J. J. Ruiz-Lorenzo

In this work we want to enhance the calculation performed by Franz, Parisi and Virasoro (FPV) to estimate the free energy cost of interfaces in spin glasses and evaluate the lower critical dimension at which replica symmetry is restored. In…

Disordered Systems and Neural Networks · Physics 2020-06-17 Valerio Astuti , Silvio Franz , Giorgio Parisi

We study the low-temperature phase of the three-dimensional $\pm J$ Ising spin glass in Migdal-Kadanoff approximation. At zero temperature, T=0, the properties of the spin glass result from the ground-state degeneracy and can be elucidated…

Statistical Mechanics · Physics 2009-11-07 Barbara Drossel , M. A. Moore

The thermal-to-percolative crossover exponent \phi, well-known for ferromagnetic systems, is studied extensively for Edwards-Anderson spin glasses. The scaling of defect energies are determined at the bond percolation threshold p_c, using…

Disordered Systems and Neural Networks · Physics 2009-11-13 S. Boettcher , E. Marchetti

The problem of the survival of a spin glass phase in the presence of a field has been a challenging one for a long time. To date, all attempts using equilibrium Monte Carlo methods have been unconclusive. In their comment to our paper,…

Disordered Systems and Neural Networks · Physics 2009-10-31 J. Houdayer , O. C. Martin

We numerically investigate the spin glass energy interface problem in three dimensions. We analyze the energy cost of changing the overlap from -1 to +1 at one boundary of two coupled systems (in the other boundary the overlap is kept fixed…

Disordered Systems and Neural Networks · Physics 2010-12-06 Pierluigi Contucci , Cristian Giardina' , Claudio Giberti , Giorgio Parisi , Cecilia Vernia

We study the energy minima of the fully-connected $m$-components vector spin glass model at zero temperature in an external magnetic field for $m\ge 3$. The model has a zero temperature transition from a paramagnetic phase at high field to…

Disordered Systems and Neural Networks · Physics 2022-02-01 Silvio Franz , Flavio Nicoletti , Giorgio Parisi , Federico Ricci-Tersenghi

We consider vector spin glasses whose energy function is a Gaussian random field with covariance given in terms of the matrix of scalar products. For essentially any model in this class, we give an upper bound for the limit free energy,…

Probability · Mathematics 2021-12-06 Jean-Christophe Mourrat

Temperature chaos (TC) in spin glasses has been claimed to exist no matter how small the temperature change, $\Delta T$. However, experimental studies have exhibited a finite value of $\Delta T$ for a transition to TC. This paper explores…

Disordered Systems and Neural Networks · Physics 2025-03-19 Hongze Li , Jiaming He , Raymond L. Orbach

We investigate the XY spin-glass model in two and three dimensions using the domain-wall renormalization-group method. The results for systems of linear sizes up to L=12 (2D) and L=8 (3D) strongly suggest that the lower critical dimension…

Disordered Systems and Neural Networks · Physics 2009-10-30 J. Maucourt , D. R. Grempel

In this work we identify a previously unexplored type of topological defect in spiral spin liquids -- the momentum vortex -- and reveal its dominant role in shaping the low energy physics of such systems. Spiral spin liquids are a class of…

Strongly Correlated Electrons · Physics 2022-12-01 Han Yan , Johannes Reuther

Energy barriers determine the dynamics in many physical systems like structural glasses, disordered spin systems or proteins. Here we present an approach, which is based on subdividing the configuration space in a hierarchical manner,…

Disordered Systems and Neural Networks · Physics 2009-11-11 C. Amoruso , A. K. Hartmann , M. A. Moore

We review some recent results on finite dimensional spin glasses by studying recent numerical simulations and their relationship with experiments. In particular we will show results obtained at zero and non zero temperature, focusing in the…

Condensed Matter · Physics 2009-09-29 J. J. Ruiz-Lorenzo

Magnetic properties of a sigma-phase Fe60V40 intermetallic compound were studied by means of ac and dc magnetic susceptibility and magnetocaloric effect measurements. The compound is a soft magnet yet it was found to behave like a…

Strongly Correlated Electrons · Physics 2017-02-28 M. Balanda , S. M. Dubiel , R. Pelka

We study the quantum transition at $T=0$ in the spin-$\frac12$ Ising spin--glass in a transverse field in two dimensions. The world line path integral representation of this model corresponds to an effective classical system in (2+1)…

Condensed Matter · Physics 2009-10-22 Heiko Rieger , A. Peter Young

Three different vortex glass models are studied by examining the energy barrier against vortex motion across the system. In the two-dimensional gauge glass this energy barrier is found to increase logarithmically with system size which is…

Superconductivity · Physics 2009-11-07 Petter Holme , Peter Olsson

The two dimensional XY spin glass is studied numerically by a finite size scaling method at T=0 in the vortex representation which allows us to compute the exact (in principle) spin and chiral domain wall energies. We confirm earlier…

Statistical Mechanics · Physics 2009-10-31 J. M. Kosterlitz , N. Akino

In this note, we consider the multi-species Sherrington-Kirkpatrick spin glass model at its conjectured critical temperature, and we show that, when the variance profile matrix $\Delta^2$ is positive semi-definite, the variance of the free…

Probability · Mathematics 2025-01-22 Elizabeth Collins-Woodfin , Han Gia Le

We consider the free energy difference restricted to a finite volume for certain pairs of incongruent thermodynamic states (if they exist) in the Edwards-Anderson Ising spin glass at nonzero temperature. We prove that the variance of this…

Mathematical Physics · Physics 2015-06-19 Louis-Pierre Arguin , Charles M. Newman , Daniel L. Stein , Janek Wehr

Zeros of the $n$th moment of the partition function $[Z^n]$ are investigated in a vanishing temperature limit $\beta \to \infty$, $n \to 0$ keeping $y=\beta n \sim O(1)$. In this limit, the moment parameterized by $y$ characterizes the…

Disordered Systems and Neural Networks · Physics 2009-11-13 Tomoyuki Obuchi , Yoshiyuki Kabashima , Hidetoshi Nishimori