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Using Wilson renormalization group, we show that if no integrated vector operator of scaling dimension $-1$ exists, then scale invariance implies conformal invariance. By using the Lebowitz inequalities, we prove that this necessary…

Statistical Mechanics · Physics 2016-02-10 Bertrand Delamotte , Matthieu Tissier , Nicolás Wschebor

Numerical simulations on Ising Spin Glasses show that spin glass transitions do not obey the usual universality rules which hold at canonical second order transitions. On the other hand the dynamics at the approach to the transition appear…

Disordered Systems and Neural Networks · Physics 2015-06-25 L. W. Bernardi , N. Lemke , P. O. Mari , I. A. Campbell , A. Alegria , J. Colmenero

A possible phase in short-range spin glasses exhibiting infinitely many equilibrium states is proposed and characterized in real space. Experimental signatures in equilibrating systems measured with scanning probes are discussed. Some…

Disordered Systems and Neural Networks · Physics 2007-05-23 Olivia L. White , Daniel S. Fisher

The ordering of the three-dimensional Heisenberg spin glass with the weak random anisotropy in magnetic fields is studied by extensive equilibrium Monte Carlo simulations. Both the spin and the chirality are monitored. We find strong…

Disordered Systems and Neural Networks · Physics 2009-11-10 Daisuke Imagawa , Hikaru Kawamura

An efficient Monte Carlo algorithm for the simulation of spin models with long-range interactions is discussed. Its central feature is that the number of operations required to flip a spin is independent of the number of interactions…

Statistical Mechanics · Physics 2007-05-23 Erik Luijten

Among the Renormalization Group Theory scaling rules relating critical exponents, there are hyperscaling rules involving the dimension of the system. It is well known that in Ising models hyperscaling breaks down above the upper critical…

Disordered Systems and Neural Networks · Physics 2018-01-24 P. H. Lundow , I. A. Campbell

An extensive equilibrium Monte Carlo simulation is performed on the 3D isotropic Heisenberg SG model with the random nearest-neighbor Gaussian coupling, with particular interest in its chiral-glass (CG) and spin-glass (SG) orderings. For…

Disordered Systems and Neural Networks · Physics 2020-01-29 Takumi Ogawa , Kazuki Uematsu , Hikaru Kawamura

The spatially uniaxially anisotropic d=3 Ising spin glass is solved exactly on a hierarchical lattice. Five different ordered phases, namely ferromagnetic, columnar, layered, antiferromagnetic, and spin-glass phases, are found in the global…

Disordered Systems and Neural Networks · Physics 2009-02-23 Can Güven , A. Nihat Berker , Michael Hinczewski , Hidetoshi Nishimori

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

We use the single-cluster Monte Carlo update algorithm to simulate the Ising model on two-dimensional Poissonian random lattices of Delaunay type with up to 80\,000 sites. By applying reweighting techniques and finite-size scaling analyses…

High Energy Physics - Lattice · Physics 2009-10-22 W. Janke , M. Katoot , R. Villanova

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

The properties of the pure-site clusters of spin models, i.e. the clusters which are obtained by joining nearest-neighbour spins of the same sign, are here investigated. In the Ising model in two dimensions it is known that such clusters…

Statistical Mechanics · Physics 2009-11-07 Santo Fortunato

We introduce a novel method for numerical spin glass investigations: Simulations of two replica at fixed temperature, weighted such that a broad distribution of the Parisi overlap parameter $q$ is achieved. Canonical expectation values for…

Condensed Matter · Physics 2009-01-23 Bernd A. Berg , Wolfhard Janke

A three-dimensional $\pm J$ XY spin-glass model is investigated by a nonequilibrium relaxation method. We have introduced a new criterion for the finite-time scaling analysis. A transition temperature is obtained by a crossing point of…

Disordered Systems and Neural Networks · Physics 2007-05-23 Takeo Yamamoto , Takeshi Sugashima , Tota Nakamura

We performed numerical simulations of 2D and 3D Edwards-Anderson spin glass models by using the recently developed multicanonical ensemble. Our ergodicity times increase with the lattice size approximately as $V^3$. The energy, entropy and…

Condensed Matter · Physics 2019-08-17 Tarik Celik , Ulrich H. E. Hansmann , Bernd Berg

Spin glasses are a longstanding model for the sluggish dynamics that appears at the glass transition. However, spin glasses differ from structural glasses for a crucial feature: they enjoy a time reversal symmetry. This symmetry can be…

Possible occurrence of an equilibrium thermodynamic phase with a spontaneously broken time-reversal symmetry is studied in a model ceramic superconductor with anisotropic pairing symmetry. It is shown by Monte Carlo simulations that such a…

Superconductivity · Physics 2009-10-30 Hikaru Kawamura , Mai Suan Li

We study the non-equilibrium behavior of three-dimensional spin glasses in the Migdal-Kadanoff approximation, that is on a hierarchical lattice. In this approximation the model has an unique ground state and equilibrium properties correctly…

Disordered Systems and Neural Networks · Physics 2009-10-31 F. Ricci-Tersenghi , F. Ritort

We present results of a Monte Carlo simulation of an Heisenberg Spin Glass model on a hipercubic cell of size 2 in {\it D} dimensions. Each spin interacts with {\it D} nearest neighbors and the lattice is expected to recover the completely…

Condensed Matter · Physics 2007-05-23 Daniel A. Stariolo

Contrary to the suggestion of Kitatani and Sinada (2000 J. Phys. A: Math. Gen. {\bf 33} 3545-3553), the scaling analysis of the order parameter distributions suggests the existence of a finite-temperature spin-glass phase transition $T_c\ne…

Disordered Systems and Neural Networks · Physics 2007-05-23 T. Shirakura , F. Matsubara , M. Shiomi