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We studied the ground state of alkaline-earth-metal atoms confined in one-dimensional optical lattices with an effective hybridization generated by a suitable laser field. This system is modeled by the periodic Anderson model plus a…

Strongly Correlated Electrons · Physics 2018-02-28 R. C. Caro , R. Franco , J. Silva-Valencia

We numerically extract large-scale excitations above the ground state in the 3-dimensional Edwards-Anderson spin glass with Gaussian couplings. We find that associated energies are O(1), in agreement with the mean field picture. Of further…

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

Some invariances under perturbations of the spin glass phase are introduced, their proofs outlined and their consequences illustrated as factorisation rules for the overlap distribution. A comparison between the state of the art for mean…

Mathematical Physics · Physics 2012-12-04 Pierluigi Contucci

A bivariate version of the multicanonical Monte Carlo method and its application to the simulation of the three-dimensional $\pm J$ Ising spin glass are described. We found the autocorrelation time associated with this particular…

Disordered Systems and Neural Networks · Physics 2009-09-25 Naomichi Hatano , James E. Gubernatis

We present a innovative relationship between ground states of the Ising model and dimer coverings which sheds new light on the Ising Models with highly degenerated ground states and enables one to construct such models. Thanks to this…

Statistical Mechanics · Physics 2010-12-22 Jerzy Cislo

In order to study effects of frustration in an itinerant electron system, we investigate ground states of the antiferromagnetic double-exchange model on a triangular lattice. In this model, pseudo-spins are coupled to electron transfer…

Strongly Correlated Electrons · Physics 2009-11-11 Yoshihiro Shimomura , Shin Miyahara , Nobuo Furukawa

We study the "mixed spin" isotropic ladder system having S=1 spins on one leg and S=1/2 spins on the other, with general-type exchange interactions between spins on neighboring rungs. A set of model Hamiltonians with exact ground states in…

Strongly Correlated Electrons · Physics 2009-10-30 A. K. Kolezhuk , H. -J. Mikeska

In a recent letter Moore et al. claim to exhibit evidence for a non-mean-field behavior of the $3d$ Ising spin glass. We show that their claim is insubstantial, and by analyzing in detail the behavior of the Migdal-Kadanoff approximation…

Disordered Systems and Neural Networks · Physics 2009-10-31 E. Marinari , G. Parisi , J. J. Ruiz-Lorenzo , F. Zuliani

We derive rigorous lower bounds for the average ground-state energy per site $e^{(d)}$ of the quantum and classical Edwards-Anderson spin-glass model in dimensions $d = 2$ and $d = 3$ in the thermodynamic limit. For the classical model they…

Mathematical Physics · Physics 2015-05-30 Walter F. Wreszinski

We use a constrained Monte Carlo technique to analyze ultrametric features of a 4 dimensional Edwards-Anderson spin glass with quenched couplings J=\pm 1. We find that in the large volume limit an ultrametric structure emerges quite clearly…

Condensed Matter · Physics 2009-10-28 Angelo Cacciuto , Enzo Marinari , Giorgio Parisi

In talk I will review the theoretical results that have been obtained for spin glasses, paying a particular attention to finite dimensional spin glasses. I will concentrate my attention on the formulation of the mean field approach and on…

Disordered Systems and Neural Networks · Physics 2009-11-13 Giorgio Parisi

We consider nonequilibrium systems such as the Edwards-Anderson Ising spin glass at a temperature where, in equilibrium, there are presumed to be (two or many) broken symmetry pure states. Following a deep quench, we argue that as time goes…

Disordered Systems and Neural Networks · Physics 2015-06-25 C. M. Newman , D. L. Stein

We use Monte Carlo (MC) methods to simulate a two-dimensional (2D) bond-diluted Ising model on the square lattice which has frustration between the nearest-neighbor interaction J1 and the next-nearest-neighbor interaction J2. In this paper,…

Statistical Mechanics · Physics 2018-06-27 Yining Xu , Dao-Xin Yao

We study ground state properties of the double-exchange model on triangle chain in the classical limit on $t_{2g}$ spins. The ground state is determined by a competition among the kinetic energy of the $e_g$ electron, the antiferromagnetic…

Strongly Correlated Electrons · Physics 2009-11-10 Atsuo Satou , Masanori Yamanaka

We consider general locally-interacting arbitrary-dimensional lattice spin systems that are gapped for any system size. We show under reasonable conditions that nondegenerate ground states of such systems obey the entanglement area law. In…

Quantum Physics · Physics 2014-11-11 Jaeyoon Cho

We present numerical results that allow a precise determination of the transition point and of the critical exponents of the 4D Edwards-Anderson Spin Glass with binary quenched random couplings. We show that the low T phase undergoes…

Disordered Systems and Neural Networks · Physics 2009-10-31 E. Marinari , F. Zuliani

We investigate the spin and charge densities of surface states of the three-dimensional topological insulator $Bi_2Se_3$, starting from the continuum description of the material [Zhang {\em et al.}, Nat. Phys. 5, 438 (2009)]. The spin…

Mesoscale and Nanoscale Physics · Physics 2012-09-04 P. G. Silvestrov , P. W. Brouwer , E. G. Mishchenko

The recently proposed reduction method for diluted spin glasses is investigated in depth. In particular, the Edwards-Anderson model with \pm J and Gaussian bond disorder on hyper-cubic lattices in d=2, 3, and 4 is studied for a range of…

Disordered Systems and Neural Networks · Physics 2008-07-01 S. Boettcher , J. Davidheiser

The state of art in spin glass field theory is reviewed.

Statistical Mechanics · Physics 2008-02-03 C. De Dominicis , I. Kondor , T. Temesvari

Spin glasses are a highly complex magnetic state of matter, intricately linked to spin frustration and structural disorder. They exhibit no long-range order and exude aging phenomena, distinguishing them from quantum spin liquids. We report…