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Related papers: Notes on ferromagnetic diluted P-spin model

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The application of functional integral methods and the Hubbard--Stratonovich transformation to the Hubbard model is discussed. For the attractive case, using a simple gauge transformation of the superconducting order parameter field, the…

Condensed Matter · Physics 2007-05-23 H. J. Schulz

Following an original idea of F. Guerra, in this notes we analyze the Sherrington-Kirkpatrick model from different perspectives, all sharing the underlying approach which consists in linking the resolution of the statistical mechanics of…

Disordered Systems and Neural Networks · Physics 2013-04-10 Adriano Barra , Gino Del Ferraro , Daniele Tantari

We analyze the fluctuations of the free energy, replica overlaps, and overlap with the external field in the quadratic spherical SK model with a magnetic field. We identify several different behaviors for these quantities depending on the…

Probability · Mathematics 2024-01-23 Benjamin Landon , Philippe Sosoe

We construct a new $U(1)$ slave spin representation for the single band Hubbard model in the large-$U$ limit. The mean-field theory in this representation is more amenable to describe both the spin-charge-separation physics of the Mott…

Strongly Correlated Electrons · Physics 2024-12-30 Wenxin Ding , Rong Yu

Correlation effects in CuO$_2$ layers give rise to a complicated landscape of collective excitations in high-T$_{\rm c}$ cuprates. Their description requires an accurate account for electronic fluctuations at a very broad energy range and…

Strongly Correlated Electrons · Physics 2018-11-09 E. A. Stepanov , L. Peters , I. S. Krivenko , A. I. Lichtenstein , M. I. Katsnelson , A. N. Rubtsov

We characterize the phase space for the infinite volume limit of a ferromagnetic mean-field XY model in a random field pointing in one direction with two symmetric values. We determine the stationary solutions and detect possible phase…

Probability · Mathematics 2016-06-29 Francesca Collet , Wioletta Ruszel

We analyze a variant of the Desai-Zwanzig model [J. Stat. Phys. {\bf 19}1-24 (1978)]. In particular, we study stationary states of the mean field limit for a system of weakly interacting diffusions moving in a multi-well potential energy…

Statistical Mechanics · Physics 2019-03-13 Susana N. Gomes , Serafim Kalliadasis , Grigorios A. Pavliotis , Petr Yatsyshin

A microscopic view of the response of the electric dipoles to a dynamic external field in a ferroelectric (FE) chain has been studied by two spin dynamics methods. One is the prominent micromagnetic approach, and the other is the…

Mesoscale and Nanoscale Physics · Physics 2015-12-08 Zidong Wang , Malcolm J. Grimson

We introduce equations of motion for a parity-violating fermionic mean-field theory (PV-FMFT): a numerically efficient fermionic mean-field theory based on parity-violating fermionic Gaussian states (PV-FGS). This work provides explicit…

Strongly Correlated Electrons · Physics 2026-01-21 Michael Kaicher , Joseph Vovrosh , Alexandre Dauphin , Simon B. Jäger

In a recent Physics Review Letter, Dorlas and Wedagedera have studied the random energy model with an additional p-spin ferromagnetic interaction. Here we note that (i) we have solved the corresponding problem of a spherical spin system…

Disordered Systems and Neural Networks · Physics 2007-05-23 Peter Gillin , David Sherrington

Phenomenological approach is developed in the theory of spin-valve type ferromagnetic junctions to describe exchange switching by current flowing perpendicular to interfaces. Forward and backward current switching effects are described and…

Materials Science · Physics 2007-05-23 E. M. Epshtein , Yu. V. Gulyaev , P. E. Zilberman

We make for the first time a large-scale Monte-Carlo simulation of a ferromagnetic Heisenberg model with dipolar interactions on a two dimensional square lattice with open boundaries using an efficient new technique. We find that a phase…

Condensed Matter · Physics 2007-05-23 Fumitaka Matsubara , Junya Sasaki

We discuss a generalized self-consistent mean field (MF) treatment, based on the selection of an arbitrary subset of operators for representing the system density matrix, and its application to the problem of entanglement evaluation in…

Quantum Physics · Physics 2015-06-23 A. Boette , R. Rossignoli , N. Canosa , J. M. Matera

We predict a new mechanism of enhancement of ferromagnetic phase transition temperature $T_c$ in uniaxially stressed diluted magnetic semiconductors (DMS) of p-type. Our prediction is based on comparative studies of both Heisenberg…

Disordered Systems and Neural Networks · Physics 2009-11-10 Yu. G. Semenov , V. A. Stephanovich

We consider a dilute homogeneous mixture of bosons and spin-polarized fermions at zero temperature. We first construct the formal scheme for carrying out systematic perturbation theory in terms of single particle Green's functions. We…

Condensed Matter · Physics 2009-11-07 Alexander P. Albus , Simon A. Gardiner , Fabrizio Illuminati , Martin Wilkens

Magnetic properties of the two-dimensional spin-polarized Fermi gas with dipole-dipole interaction are studied in the presence of external magnetic field at zero temperature. Within perturbation theory and the second quantization formalism,…

Mesoscale and Nanoscale Physics · Physics 2018-12-10 G. H. Bordbar , F. Pouresmaeeli , A. Poostforush

The mixed spin-1/2 Ising model and spin-1 Blume-Capel model in an hexagonal nanowire structure under the presence of crystal field is considered. The free energy is obtained through the transfer matrix technique, which is solved…

Statistical Mechanics · Physics 2022-03-02 R. A. Pimenta , O. Rojas , S. M. de Souza

We analyze the generalized mean-field q-state Potts model which is obtained by replacing the usual quadratic interaction function in the mean-field Hamiltonian by a higher power z. We first prove a generalization of the known limit result…

Probability · Mathematics 2013-12-19 Benedikt Jahnel , Christof Kuelske , Elena Rudelli , Janine Wegener

We present a mean field analysis of a fully frustrated Ising spin model on an Ising lattice gas. This is equivalent to a degenerate Blume-Emery-Griffiths model with frustration, which we analyze for different values of the quadrupolar…

Statistical Mechanics · Physics 2009-10-31 F. di Liberto , F. Peruggi

Understanding the relationship between the heterogeneous structure of complex networks and cooperative phenomena occurring on them remains a key problem in network science. Mean-field theories of spin models on networks constitute a…

Disordered Systems and Neural Networks · Physics 2022-02-10 Fernando L. Metz , Thomas Peron
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