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Related papers: Spin and link overlaps in 3-dimensional spin glass…

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In this paper I will consider many of the various definitions of the overlap and of its probability distribution that have been introduced in the literature starting from the original papers of Edwards and Anderson; I will present also some…

Disordered Systems and Neural Networks · Physics 2013-10-22 Giorgio Parisi

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

We study vortex states in a 3d random-field XY model of up to one billion lattice spins. Starting with random spin orientations, the sample freezes into the vortex-glass state with a stretched-exponential decay of spin correlations, having…

Statistical Mechanics · Physics 2014-01-07 D. A. Garanin , E. M. Chudnovsky , T. Proctor

Short-time dynamic scaling behavior of the 3D $\pm J$ Ising spin glass is studied by Monte Carlo methods. Starting the replicas with independent initial configurations with a small pseudo magnetization, the dynamic evolution of the overlap…

Statistical Mechanics · Physics 2015-06-25 H. J. Luo , L. Schuelke , B. Zheng

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

Using mappings to computer-science problems and by applying sophisticated algorithms, one can study numerically many problems much better compared to applying standard approaches like Monte Carlo simulations. Here, using calculations of…

Disordered Systems and Neural Networks · Physics 2007-05-23 A. K. Hartmann

The electrodynamic response of organic spin liquids with highly-frustrated triangular lattices has been measured in a wide energy range. While the overall optical spectra of these Mott insulators are governed by transitions between the…

Strongly Correlated Electrons · Physics 2018-08-09 A. Pustogow , Y. Saito , E. Zhukova , B. Gorshunov , R. Kato , T. -H. Lee , S. Fratini , V. Dobrosavljević , M. Dressel

We generate equilibrium configurations for the three and four dimensional Ising spin glass with Gaussian distributed couplings at temperatures well below the transition temperature T_c. These states are analyzed by a recently proposed…

Disordered Systems and Neural Networks · Physics 2009-11-07 Eytan Domany , Guy Hed , Matteo Palassini , A. P. Young

In this paper, we consider spin systems in three spatial dimensions, and prove that the local Hamiltonian problem for 3D lattices with face-centered cubic unit cells, 4-local translationally-invariant interactions between spin-3/2 particles…

Quantum Physics · Physics 2017-11-27 Johannes Bausch , Stephen Piddock

The replica method has been used to calculate the interface free energy associated with the change from periodic to anti-periodic boundary conditions in finite-dimensional spin glasses. At mean-field level the interface free energy vanishes…

Disordered Systems and Neural Networks · Physics 2009-11-07 T. Aspelmeier , M. A. Moore , A. P. Young

We study the four dimensional Gaussian spin glass in presence of a magnetic field. Using off-equilibrium numerical simulations we have found that the probability distribution of the overlaps is built in the same way as that of the Mean…

Disordered Systems and Neural Networks · Physics 2009-10-30 Giorgio Parisi , Federico Ricci-Tersenghi , Juan J. Ruiz-Lorenzo

We solve for the elementary excitation in infinite quasi-1D quantum lattices by extending the recently developed infinite quasi-1D entanglement perturbation theory. The wave function of an excited state is variationally determined by…

Strongly Correlated Electrons · Physics 2020-03-06 Lihua Wang , Aslam Parvej , D. ChangMo Yang , Kwang S. Kim

We consider a lattice of spin-1 particles with a general pairwise interaction $ [ {\rm cos} \gamma ({\bf S}_{l} \cdot {\bf S}_{l+1}) \ + {\rm sin} \gamma ({\bf S}_{l} \cdot {\bf S}_{l+1})^2 \ ]$. We show that, for a large class of lattices…

Superconductivity · Physics 2009-11-10 S. K. Yip

We consider the statistical properties over disordered samples of the overlap distribution $P_{\cal J}(q)$ which plays the role of an order parameter in spin-glasses. We show that near zero temperature (i) the {\it typical} overlap…

Disordered Systems and Neural Networks · Physics 2013-10-31 Cecile Monthus , Thomas Garel

Topologically nontrivial states are common in symmetry broken phases at macroscopic scales. Low dimensional systems bring them to a microscopic level where solitons emerge as single particles. The earliest and latest applications are…

Strongly Correlated Electrons · Physics 2007-05-23 S. Brazovski

We present a massive equilibrium simulation of the three-dimensional Ising spin glass at low temperatures. The Janus special-purpose computer has allowed us to equilibrate, using parallel tempering, L=32 lattices down to T=0.64 Tc. We…

We study the surface resistivity of a three-dimensional topological insulator when the boundaries exhibit a non trivial curvature. We obtain an analytical solution for a spherical topological insulator, and we show that a non trivial…

Mesoscale and Nanoscale Physics · Physics 2011-06-27 V. Parente , P. Lucignano , P. Vitale , A. Tagliacozzo , F. Guinea

We consider the effect of perturbing a single bond on ground-states of nearest-neighbor Ising spin-glasses, with a Gaussian distribution of the coupling constants, across various two and three-dimensional lattices and regular random graphs.…

Disordered Systems and Neural Networks · Physics 2024-03-18 Mutian Shen , Gerardo Ortiz , Yang-Yu Liu , Martin Weigel , Zohar Nussinov

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

While a quantum spin liquid (QSL) phase has been identified in the $J_1$-$J_2$ Heisenberg model on a triangular lattice via numerical calculations, debate persists about whether or not such a QSL is gapped or gapless, with contradictory…

Strongly Correlated Electrons · Physics 2022-08-25 Ta Tang , Brian Moritz , Thomas P. Devereaux
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