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We study equilibrium density and spin density profiles for a model of cold one-dimensional spin 1/2 fermions interacting via inverse square interaction and exchange in an external harmonic trap. This model is the well-known spin-Calogero…

Quantum Gases · Physics 2011-02-01 M. Kulkarni , A. G. Abanov

We study spin glass behavior in a random Ising Coulomb antiferromagnet in two and three dimensions using Monte Carlo simulations. In two dimensions, we find a transition at zero temperature with critical exponents consistent with those of…

Disordered Systems and Neural Networks · Physics 2016-09-30 J. Rehn , R. Moessner , A. P. Young

Antiferromagnetic Ising spins on the scale-free Barabasi-Albert network are studied via the Monte Carlo method. Using the replica exchange algorithm, we calculate the temperature dependence of various physical quantities of interest…

Disordered Systems and Neural Networks · Physics 2009-11-11 M. Bartolozzi , T. Surungan , D. B. Leinweber , A. G. Williams

We calculate the long time and distance asymptotics of the one-particle correlation functions in the model of impenetrable spin 1/2 fermions in 1+1 dimensions. We consider the spin disordered zero temperature regime, which occurs when the…

Strongly Correlated Electrons · Physics 2009-11-10 Vadim V Cheianov , M B Zvonarev

We study a finite range spin glass model in arbitrary dimension, where the intensity of the coupling between spins decays to zero over some distance $\gamma^{-1}$. We prove that, under a positivity condition for the interaction potential,…

Disordered Systems and Neural Networks · Physics 2009-11-10 Silvio Franz , Fabio Lucio Toninelli

Although the one dimensional (1D) repulsive Fermi-Hubbard model has been intensively studied over many decades, a rigorous understanding of many aspects of the model is still lacking. In this work, based on the solutions to the…

Strongly Correlated Electrons · Physics 2023-05-17 Jia-Jia Luo , Han Pu , Xi-Wen Guan

For many real spin-glass materials, the Edwards-Anderson model with continuous-symmetry spins is more realistic than the rather better understood Ising variant. In principle, the nature of an occurring spin-glass phase in such systems might…

Disordered Systems and Neural Networks · Physics 2008-04-28 Martin Weigel , Michel J. P. Gingras

We study link-diluted $\pm J$ Ising spin glass models on the hierarchical lattice and on a three-dimensional lattice close to the percolation threshold. We show that previously computed zero temperature fixed points are unstable with…

Disordered Systems and Neural Networks · Physics 2009-01-02 Thomas Jorg , Federico Ricci-Tersenghi

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

With the help of EXACT ground states obtained by a polynomial algorithm we compute the domain wall energy at zero-temperature for the bond-random and the site-random Ising spin glass model in two dimensions. We find that in both models the…

Disordered Systems and Neural Networks · Physics 2009-10-28 N. Kawashima , H. Rieger

We address here a few classical lattice--spin models, involving $n-$component unit vectors ($n=2,3$), associated with a $D-$dimensional lattice $\mathbb{Z}^D,\,D=1,2$, and interacting via a pair potential restricted to nearest neighbours…

Statistical Mechanics · Physics 2015-07-13 Hassan Chamati , Silvano Romano

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 p-spin glass models in the phase which at mean-field level has…

Disordered Systems and Neural Networks · Physics 2009-11-11 M. A. Moore

The temperature dependence of spin currents in insulators at the finite temperature near zero Kelvin is theoretically studied. The spin currents are carried by Jordan-Wigner fermions and magnons in one- and three- dimensional insulators.…

Mesoscale and Nanoscale Physics · Physics 2012-01-23 Kouki Nakata

We apply a semiclassical approach to express finite temperature dynamical correlation functions of gapped spin models analytically. We show that the approach of [A. Rapp, G. Zarand, Phys. Rev. B 74, 014433 (2006)] can also be used for the…

Statistical Mechanics · Physics 2009-01-26 Akos Rapp , Gergely Zarand

We study the 3D Edwards-Anderson model with binary interactions by Monte Carlo simulations. Direct evidence of finite-size scaling is provided, and the universal finite-size scaling functions are determined. Using an iterative extrapolation…

Disordered Systems and Neural Networks · Physics 2007-05-23 Matteo Palassini , Sergio Caracciolo

In the presence of a chemical potential, the physics of level crossings leads to singularities at zero temperature, even when the spatial volume is finite. These singularities are smoothed out at a finite temperature but leave behind…

High Energy Physics - Lattice · Physics 2010-07-13 Debasish Banerjee , Shailesh Chandrasekharan

We consider a finite range spin glass model in arbitrary dimension, where the strength of the two-body coupling decays to zero over some distance $\gamma^{-1}$. We show that, under mild assumptions on the interaction potential, the…

Statistical Mechanics · Physics 2009-11-10 Silvio Franz , Fabio Lucio Toninelli

Large-scale simulations have been performed in the current-driven three-dimensional XY spin glass with resistively-shunted junction dynamics for sample sizes up to $64^3$. It is observed that the linear resistivity at low temperatures tends…

Disordered Systems and Neural Networks · Physics 2015-05-13 Qing-Hu Chen

A spin model that displays inverse melting and inverse glass transition is presented and analyzed. Strong degeneracy of the interacting states of an individual spin leads to entropic preference of the "ferromagnetic" phase, while lower…

Statistical Mechanics · Physics 2009-11-10 Nurith Schupper , Nadav M. Shnerb

According to the droplet picture of spin glasses, the low-temperature phase of spin glasses should be replica symmetric. However, analysis of the stability of this state suggested that it was unstable and this instability lends support to…

Disordered Systems and Neural Networks · Physics 2015-06-25 M. A. Moore