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Related papers: Spin-1 Hopfield model under a random field

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Thermodynamics of a pseudospin-electron model without correlations is investigated. The correlation functions, the mean values of pseudospin and particle number, as well as the thermodynamic potential are calculated. The calculation is…

Superconductivity · Physics 2014-02-17 I. V. Stasyuk , A. M. Shvaika , K. V. Tabunshchyk

The mean-field theory with the use of the slave-boson functional method is generalized to take account of the spin- and orbital-ordered state in the doubly degenerate Hubbard model. Some numerical calculations are presented of the…

Strongly Correlated Electrons · Physics 2007-05-23 Hideo Hasegawa

We study canonical-equilibrium properties of Random Field $O(n)$ Models involving classical continuous vector spins of $n$ components with mean-field interactions and subject to disordered fields acting on individual spins. To this end, we…

Statistical Mechanics · Physics 2025-08-07 Soumya Kanti Pal , Shamik Gupta

We study the resonating valence bond (RVB) theory of the Hubbard-Heisenberg model on the half-filled anisotropic triangular lattice. Varying the frustration changes the wavevector of maximum spin correlation in the Mott insulating phase.…

Superconductivity · Physics 2009-01-23 B. J. Powell , Ross H. McKenzie

We investigate the effect of diagonal disorder on bosons in an optical lattice described by an Anderson-Hubbard model at zero temperature. It is known that within Gutzwiller mean-field theory spatially resolved calculations suffer…

Disordered Systems and Neural Networks · Physics 2009-06-30 U. Bissbort , W. Hofstetter

Randomness and frustration are considered to be the key ingredients for the existence of spin glass (SG) phase. In a canonical system, these ingredients are realized by the random mixture of ferromagnetic (FM) and antiferromagnetic (AF)…

Disordered Systems and Neural Networks · Physics 2015-10-13 Tasrief Surungan , Freddy P. Zen , Anthony G. Williams

Two numerical strategies based on the Wang-Landau and Lee entropic sampling schemes are implemented to investigate the first-order transition features of the 3D bimodal ($\pm h$) random-field Ising model at the strong disorder regime. We…

Statistical Mechanics · Physics 2008-03-31 N. G. Fytas , A. Malakis , K. Eftaxias

The Haldane-Shastry model is one of the most studied interacting spin systems. The Yangian symmetry makes it exactly solvable, and the model has semionic excitations. We introduce disorder into the Haldane-Shastry model by allowing the…

Disordered Systems and Neural Networks · Physics 2020-07-10 Shriya Pai , N. S. Srivatsa , Anne E. B. Nielsen

Several recent experiments in biology study systems composed of several interacting elements, for example neuron networks. Normally, measurements describe only the collective behavior of the system, even if in most cases we would like to…

Disordered Systems and Neural Networks · Physics 2010-10-12 Vitor Sessak

We introduce the generalization of the Slave-Spin Mean-Field method to broken-symmetry phases. Through a variational approach we derive the single-particle energy shift in the mean-field equations which generates the appropriate…

Strongly Correlated Electrons · Physics 2023-05-02 Matteo Crispino , Maria Chatzieleftheriou , Tommaso Gorni , Luca de' Medici

We study the synchronous dynamics of the Hopfield model when a random antisymmetric part is added to the otherwise symmetric synaptic matrix. We use a generating functional technique to derive analytical expressions for the order parameters…

Disordered Systems and Neural Networks · Physics 2007-05-23 Manoranjan P. Singh

We examine the transition from trivial to non-trivial phases in a Su-Schrieffer-Heeger model subjected to disorder in a quasi-periodic environment. We analytically determine the phase boundary, and characterize the localization of normal…

Statistical Mechanics · Physics 2025-12-09 Sayan Sircar

The interplay between antiferromagnetism and d-wave superconductivity is studied in a mean-field approximation for a generic microscopic Hamiltonian with short-range repulsion and near-neighbor attraction. In the presence of competing…

Strongly Correlated Electrons · Physics 2009-10-31 Bumsoo Kyung

We consider an Ising competitive model defined over a triangular Husimi tree where loops, responsible for an explicit frustration, are even allowed. After a critical analysis of the phase diagram, in which a ``gas of non interacting dimers…

Disordered Systems and Neural Networks · Physics 2009-09-29 Massimo Ostilli , Farrukh Mukhamedov , José F. F. Mendes

The phase diagram of the attractive Hubbard model with spatially inhomogeneous interactions is obtained using a single site dynamical mean field theory like approach. The model is characterized by three parameters: the interaction strength,…

Superconductivity · Physics 2009-11-13 Vijay B. Shenoy

We investigate the low-temperature properties of the one-dimensional spin-1 Heisenberg model with geometric fluctuations induced by aperiodic but deterministic coupling distributions, involving two parameters. We focus on two aperiodic…

Strongly Correlated Electrons · Physics 2014-04-15 H. L. Casa Grande , N. Laflorencie , F. Alet , A. P. Vieira

This paper continues the study of metastable behaviour in disordered mean field models initiated in [2], [3]. We consider the generalized Hopfield model with finitely many independent patterns $\xi_1,...,\xi_p$ where the patterns have…

Probability · Mathematics 2009-04-27 Mykhaylo Shkolnikov

A brief survey of the theoretical, numerical and experimental studies of the random field Ising model during last three decades is given. Nature of the phase transition in the three-dimensional RFIM with Gaussian random fields is discussed.…

Disordered Systems and Neural Networks · Physics 2009-11-13 Victor Dotsenko

Geometrical frustration in strongly correlated systems can give rise to a plethora of novel ordered states and intriguing magnetic phases, such as quantum spin liquids. Promising candidate materials for such phases can be described by the…

Using analytic and numerical methods, we study a $2d$ Hamiltonian model of interacting particles carrying ferro-magnetically coupled continuous spins which are also locally coupled to their own velocities. This model has been characterised…

Statistical Mechanics · Physics 2020-05-14 Mathias Casiulis , Marco Tarzia , Leticia F. Cugliandolo , Olivier Dauchot