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We introduce a Sherrington-Kirkpatrick spin-glass model with the addition of elastic degrees of freedom. The problem is formulated in terms of an effective four-spin Hamiltonian in the pressure ensemble, which can be treated by the replica…

Disordered Systems and Neural Networks · Physics 2009-04-30 D. B. Liarte , S. R. Salinas , C. S. O. Yokoi

We study the model of a biaxial single ferromagnetic spin Hamiltonian with an external magnetic field applied along the medium axis. The phase transition of the escape rate is investigated. Two different but equivalent methods are…

Mesoscale and Nanoscale Physics · Physics 2014-03-19 S. A. Owerre , M. B. Paranjape

An investigation is presented of the utility of semiclassical approximations for solving the quantum-impurity problems arising in the dynamical-mean-field approach to the correlated-electron models. The method is based on performing a exact…

Strongly Correlated Electrons · Physics 2009-11-11 Satoshi Okamoto , Andreas Fuhrmann , Armin Comanac , Andrew J. Millis

We employ the method of the theory of open quantum systems to analyze spin relaxation and decoherence in semiconductors in the presence of a magnetic field. We derive a set of Bloch equations for electron spin with a fully microscopic…

Condensed Matter · Physics 2007-05-23 Vadim I. Puller , Lev G. Mourokh , Norman J. M. Horing , Anatoly Yu. Smirnov

The classical spin system consisting of three spins with Heisenberg interaction is an example of a completely integrable mechanical system. In this paper we explicitly calculate thermodynamic quantities as density of states, specific heat,…

Statistical Mechanics · Physics 2022-11-23 Heinz-Jürgen Schmidt , Christian Schröder

Functional integral methods provide a way to define mean--field theories and to systematically improve them. For the Hubbard model and similar strong--correlation problems, methods based in particular on the Hubbard--Stratonovich…

Condensed Matter · Physics 2009-10-22 H. J. Schulz

The Sherrington-Kirkpatrick spin glass model has been studied as a source of insight into the statistical mechanics of systems with highly diversified collections of competing low energy states. The goal of this summary is to present some…

Mathematical Physics · Physics 2008-09-29 Michael Aizenman , Robert Sims , Shannon L. Starr

The Kondo lattice model has been analyzed in the presence of a random inter-site interaction among localized spins with non zero mean Jo and standard deviation J. Following the same framework previously introduced by us, the problem is…

Strongly Correlated Electrons · Physics 2015-06-24 S. G. Magalhaes , A. A. Schmidt , Alba Theumann , B. Coqblin

We study the 3-spin spherical model with mean-field interactions and Gaussian random couplings. For moderate system sizes of up to 20 spins, we obtain all stationary points of the energy landscape by means of the numerical polynomial…

Statistical Mechanics · Physics 2015-03-20 Dhagash Mehta , Daniel A. Stariolo , Michael Kastner

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 study quantum correlations in a bipartite heteronuclear $(N-1)\times1$ system in an external magnetic field. The system consists of a spin ring with an arbitrary number $N-1$ of spins on the ring and one spin in its center. The spins on…

Quantum Physics · Physics 2015-08-26 S. I. Doronin , E. B. Fel'dman , E. I. Kuznetsova

We present the mean field solution of the quantum and classical Heisenberg spin glasses, using the combination of a high precision numerical solution of the Parisi full replica symmetry breaking equations and a continuous time Quantum Monte…

Disordered Systems and Neural Networks · Physics 2024-08-27 Nikita Kavokine , Markus Müller , Antoine Georges , Olivier Parcollet

We introduce a finite-connectivity ferromagnetic model with a three-spin interaction which has a crystalline (ferromagnetic) phase as well as a glass phase. The model is not frustrated, it has a ferromagnetic equilibrium phase at low…

Disordered Systems and Neural Networks · Physics 2009-11-07 S. Franz , M. Mezard , F. Ricci-Tersenghi , M. Weigt , R. Zecchina

We study the metastable states in Ising spin models with orthogonal interaction matrices. We focus on three realizations of this model, the random case and two non-random cases, i.e.\ the fully-frustrated model on an infinite dimensional…

Condensed Matter · Physics 2009-10-28 Giorgio Parisi , Marc Potters

In this paper we present an extensive study of the thermodynamic properties of the two-dimensional quantum Heisenberg antiferromagnet on the square lattice; the problem is tackled by the pure-quantum self-consistent harmonic approximation,…

Statistical Mechanics · Physics 2009-10-30 Alessandro Cuccoli , Valerio Tognetti , Ruggero Vaia , Paola Verrucchi

We have combined the dynamical mean field theories of the Mott transition and the spin glass in infinite dimensions and derived a metallic spin-glass state from a random spin-fermion model.

Strongly Correlated Electrons · Physics 2009-10-31 O. Narikiyo

A procedure based on the semiclassical approximation for high energy levels is developed to yield solutions to the classical equation of charge motion and to the Bargmann-Michel-Telegdi spin equation. To this end, exact solutions to the…

Mathematical Physics · Physics 2017-08-10 V. A. Bordovitsyn , A. N. Myagkii

Bipartite and global entanglement are analyzed for the ground state of a system of $N$ spin 1/2 particles interacting via a collective spin-spin coupling described by the Lipkin-Meshkov-Glick (LMG) Hamiltonian. Under certain conditions…

Quantum Physics · Physics 2007-05-23 R. G. Unanyan , C. Ionescu , M. Fleischhauer

Many recent experiments probed the off equilibrium dynamics of spin glasses and other glassy systems through temperature cycling protocols and observed memory and rejuvenation phenomena. Here we show through numerical simulations, using…

Disordered Systems and Neural Networks · Physics 2009-09-29 Florent Krzakala , Federico Ricci-Tersenghi

We propose a hybrid quantum-classical method to investigate the equilibrium physics and the dynamics of strongly correlated fermionic models with spin-based quantum processors. Our proposal avoids the usual pitfalls of fermion-to-spin…

Quantum Physics · Physics 2024-06-21 Antoine Michel , Loïc Henriet , Christophe Domain , Antoine Browaeys , Thomas Ayral