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Related papers: On exact mappings between fermionic Ising spin gla…

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The competition between spin glass ($SG$) and antiferromagnetic order ($AF$) is analyzed in two sublattice fermionic Ising models in the presence of a transverse $\Gamma$ and a parallel $H$ magnetic fields. The exchange interaction follows…

Strongly Correlated Electrons · Physics 2015-06-25 F. M. Zimmer , S. G. Magalhaes

We solve the fermionic version of the Ising spin glass for arbitrary filling \mu and temperature T taking into account replica symmetry breaking. Using a simple exact mapping from \mu to the anisotropy parameter D, we also obtain the…

Statistical Mechanics · Physics 2009-10-31 H. Feldmann , R. Oppermann

Two kinds of recursive lattices with the same coordination number but different unit cells (2-D square and 3-D cube) are constructed and the antiferromagnetic Ising model is solved exactly on them to study the stable and metastable states.…

Statistical Mechanics · Physics 2016-06-17 Ran Huang , Purushottam D. Gujrati

We numerically study imbalanced two component Fermi gases with attractive interactions in highly elongated harmonic traps. An accurate parametrization formula for the ground state energy is presented for a spin-polarized attractive…

Strongly Correlated Electrons · Physics 2008-03-20 Gao Xianlong , Reza Asgari

We study the one-dimensional Fermionic Hubbard model with SU(N) spin symmetry in the incommensurate filling case. The basic properties of Green's function, momentum distribution and tunneling density of states of the system at low…

Strongly Correlated Electrons · Physics 2019-03-20 Shuang Liang , Deping Zhang , Wei Chen

An exact description of integrable spin chains at finite temperature is provided using an elementary algebraic approach in the complete Hilbert space of the system. We focus on spin chain models that admit a description in terms of free…

Quantum Physics · Physics 2021-07-20 Michał Białończyk , Fernando Javier Gómez-Ruiz , Adolfo del Campo

We consider quantum-dynamical phenomena in the $\mathrm{SU}(2)$, $S=1/2$ infinite-range quantum Heisenberg spin glass. For a fermionic generalization of the model we formulate generic dynamical self-consistency equations. Using the…

Statistical Mechanics · Physics 2009-11-10 M. Bechmann , R. Oppermann

In the present paper we have analysed a fermionic infinite-ranged quantum Heisenberg spin glass (s=1/2) with a BCS coupling in real space in the presence of an applied magnetic field. This model has been obtained by tracing out the…

Statistical Mechanics · Physics 2009-10-31 S. G. Magalhaes , A. A. Schmidt

We investigate the relation between the classical ergodicity and the quantum eigenstate thermalization in the fully connected Ising ferromagnets. In the case of spin-1/2, an expectation value of an observable in a single energy eigenstate…

Statistical Mechanics · Physics 2017-07-20 Takashi Mori

We present results of numerical simulations on a one-dimensional Ising spin glass with long-range interactions. Parameters of the model are chosen such that it is a proxy for a short-range spin glass above the upper critical dimension (i.e.…

Disordered Systems and Neural Networks · Physics 2016-02-17 Matthew Wittmann , A. P. Young

We discuss the underlying connections among the thermodynamic properties of short-ranged spin glasses, their behavior in large finite volumes, and the interfaces that separate different pure states, and also ground states and low-lying…

Disordered Systems and Neural Networks · Physics 2009-11-10 C. M. Newman , D. L. Stein

The ferromagnetic Ising model on an $n\times n$ square lattice region $\Lambda$ with mixed boundary conditions can exhibit a phase transition as temperature varies. For this spin system, if we fix the spins on the top and bottom sides of…

Discrete Mathematics · Computer Science 2026-05-26 David Gillman , Dana Randall

As spin glass materials have extremely slow dynamics, devious numerical methods are needed to study low-temperature states. A simple and fast optimization version of the classical Kasteleyn treatment of the Ising model is described and…

Disordered Systems and Neural Networks · Physics 2008-02-28 Creighton K. Thomas , A. Alan Middleton

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

The state space of finite square and cubic Ising spin glass models is analysed in terms of the global and the local density of states. Systems with uniform and gaussian probability distribution of interactions are compared. Different…

Disordered Systems and Neural Networks · Physics 2009-10-30 T. Klotz , S. Schubert , K. H. Hoffmann

We study the equilibrium properties of an Ising frustrated lattice gas with a mean field replica approach. This model bridges usual {\em Spin Glasses} and a version of {\em Frustrated Percolation} model, and has proven relevant to describe…

Condensed Matter · Physics 2009-10-28 Jeferson J. Arenzon , Mario Nicodemi , Mauro Sellitto

In the simple [hyper]cubic five dimension near neighbor interaction Ising ferromagnet, extensive simulation measurements are made of the link overlap and the spin overlap distributions. These "two replica" measurements are standard in the…

Statistical Mechanics · Physics 2013-02-06 P. H. Lundow , I. A. Campbell

Monte Carlo data of the two-dimensional Ising spin glass with bimodal interactions are presented with the aim of understanding the low-temperature physics of the model. An analysis of the specific heat, spin-glass susceptibility,…

Disordered Systems and Neural Networks · Physics 2007-05-23 Helmut G. Katzgraber , Lik Wee Lee , I. A. Campbell

We investigate magnetic properties of a two-dimensional periodic structure with Ising spins and antiferromagnetic nearest neighbor interaction. The structure is topologically equivalent to the Archimedean (3,12^2) lattice. The ground state…

Statistical Mechanics · Physics 2007-05-23 M. J. Krawczyk , K. Malarz , B. Kawecka-Magiera , A. Z. Maksymowicz , K. Kulakowski

A dimer mean-field model for the Ising spin-glass is presented. Despite its simplicity it captures some of the essential features of the spin-glass physics. The distribution of the single-spin magnetization is determined from a…

Disordered Systems and Neural Networks · Physics 2009-12-16 Yonatan Dubi , Massimiliano Di Ventra