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The notion of complex energy landscape underpins the intriguing dynamical behaviors in many complex systems ranging from polymers, to brain activity, to social networks and glass transitions. The spin glass state found in dilute magnetic…

Disordered Systems and Neural Networks · Physics 2017-07-19 Anjana Samarakoon , Taku J. Sato , Tianran Chen , Gai-Wei Chern , Junjie Yang , Israel Klich , Ryan Sinclair Haidong Zhou , Seung-Hun Lee

The quantum critical behavior of the Ising glass in a magnetic field is investigated. We focus on the spin glass to paramagnet transition of the transverse degrees of freedom in the presence of finite longitudinal field. We use two…

Strongly Correlated Electrons · Physics 2009-11-10 L. Arrachea , D. Dalidovich , V. Dobrosavljević , M. J. Rozenberg

In the past few years, several studies have explored the topology of interactions in different complex systems. Areas of investigation span from biology to engineering, physics and the social sciences. Although having different microscopic…

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

We have studied numerically the states reached in a quench from various temperatures in the one-dimensional fully-connected Kotliar, Anderson and Stein Ising spin glass model. This is a model where there are long-range interactions between…

Statistical Mechanics · Physics 2018-05-25 Auditya Sharma , Joonhyun Yeo , M. A. Moore

We investigate the influence of an interband exchange interaction on magnetism in a two-band Hubbard model. Our main emphasis lies on spin-flip scattering which is often neglected but is neccessary to retain the full rotational symmetry of…

Strongly Correlated Electrons · Physics 2009-10-31 D. Meyer , W. Nolting

We show through a simple example that perturbations of the Hamiltonian of a spin glass which cannot be detected at the level of the free energy can completely alter the behavior of the overlap. In particular, perturbations of order O(log…

Mathematical Physics · Physics 2010-11-09 Louis-Pierre Arguin , Nicola Kistler

In a Hartree-Fock picture, itinerant ferromagnetism results from a competition between kinetic and exchange energy, with the magnetized state being favored at large interaction strength. In a recent paper \cite{spings} we showed that in…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 Philippe Jacquod , A. Douglas Stone

We study the two-dimensional +/-J Ising model, three-state Potts model and four-state Potts model, by the numerical transfer matrix method to investigate the behaviour of the sample-to-sample fluctuations of the internal energy on the…

Disordered Systems and Neural Networks · Physics 2009-11-07 Hidetoshi Nishimori , Cyril Falvo , Yukiyasu Ozeki

As Phil Anderson noted long ago, frustration can be generally defined by measuring the fluctuations in the coupling energy across a plane boundary between two large blocks of material. Since that time, a number of groups have studied the…

Disordered Systems and Neural Networks · Physics 2014-08-12 D. L. Stein

We consider the dynamics of spin facilitated models of glasses in the non-equilibrium aging regime following a sudden quench from high to low temperatures. We briefly review known results obtained for the broad class of kinetically…

Statistical Mechanics · Physics 2009-11-13 Sebastien Leonard , Peter Mayer , Peter Sollich , Ludovic Berthier , Juan P. Garrahan

In this paper we propose a short range generalization of the $p$-spin interaction spin-glass model. The model is well suited to test the idea that an entropy collapse is at the bottom-line of the dynamical singularity encountered in…

Condensed Matter · Physics 2009-10-28 Diego Alvarez , Silvio Franz , Felix Ritort

We review and extend some recent investigations of the effects of aperiodic interactions on the critical behavior of ferromagnetic $q$-state Potts models. By considering suitable diamond or necklace hierarchical lattices, and assuming a…

Statistical Mechanics · Physics 2009-11-07 T. A. S. Haddad , S. R. Salinas

This paper has been withdrawn because we have since found an analytic theory (arXiv:0712.3586) which shows that the dominant contribution to the free energy fluctuations comes from the region t\approx\tau. This regime was unfortunately…

Disordered Systems and Neural Networks · Physics 2008-02-06 M. Goethe , T. Aspelmeier

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

The motion of submerged magnetic microspheres rolling at a glass-water interface has been studied using magnetic rotation and optical tweezers combined with bright-field microscopy particle tracking techniques. Individual microspheres of…

Optics · Physics 2008-09-15 Rodney R. Agayan , Ron G. Smith , Raoul Kopelman

We have studied needle shaped three-dimensional classical spin systems with purely dipolar interactions in the microcanonical ensemble, using both numerical simulations and analytical approximations. We have observed spontaneous…

Statistical Mechanics · Physics 2015-06-16 George Miloshevich , Thierry Dauxois , Ramaz Khomeriki , S. Ruffo

Spin glasses are models of statistical mechanics in which a large number of simple elements interact with one another in a disordered fashion. One of the fundamental results of the theory is the Parisi formula, which identifies the limit of…

Probability · Mathematics 2025-10-02 Jean-Christophe Mourrat

We describe how the effect of charge noise on a pair of spins coupled via the exchange interaction can be calculated by modelling charge fluctuations as a random telegraph noise process using probability density functions. We develop…

Quantum Physics · Physics 2013-05-29 M. J. Testolin , J. H. Cole , L. C. L. Hollenberg

The fractal dimension of excitations in glassy systems gives information on the critical dimension at which the droplet picture of spin glasses changes to a description based on replica symmetry breaking where the interfaces are space…

Disordered Systems and Neural Networks · Physics 2017-09-11 Wenlong Wang , M. A. Moore , Helmut G. Katzgraber

We have performed magnetic measurements like temperature (T), cooling field (HFC) dependence of exchange bias (EB) and training effect to investigate the magnetic nature of the interface of the Fe/Ir20Mn80 systems. Thin film bilayer samples…