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The microscopic model in which nodes interacting with each other are statistical systems is introduced. The nodes conditions are connected with a string of distinct microscopic configurations and depend on external parameters (pressure and…

Statistical Mechanics · Physics 2007-05-23 V. Stepanov

We study the isotropic Heisenberg chain with nearest and next-nearest neighbour interactions. The ground state phase diagram is constructed in dependence on the additonal interactions and an external magnetic field. The thermodynamics is…

Strongly Correlated Electrons · Physics 2009-11-13 Christian Trippe , Andreas Klümper

The two-dimensional Ising model with nearest-neighbor ferromagnetic and long-range dipolar interactions exhibits a rich phase diagram. The presence of the dipolar interaction changes the ferromagnetic ground state expected for the pure…

Statistical Mechanics · Physics 2010-02-18 Leandro G. Rizzi , Nelson A. Alves

We introduce the isomorphism between the multi-state Hamiltonian and the second-quantized many-electron Hamiltonian (with only 1-electron interactions). This suggests that all methods developed for the former can be employed for the latter,…

Chemical Physics · Physics 2017-10-17 Jian Liu

We study the phase diagram of the interacting spin-$1/2$ Haldane model with chiral phase $\phi = \pi/2$ at half-filling. Both on-site and long-range Coulomb repulsive interactions (Haldane-Hubbard-Coulomb model) are considered. The problem…

Strongly Correlated Electrons · Physics 2019-04-03 Igor S. Tupitsyn , Nikolay V. Prokof'ev

In this paper, we investigate the ground-state phase diagram of the $S=1/2$ Heisenberg-$\Gamma$ model on a honeycomb lattice by dimer series expansion and exact diagonalization. We focus on the effects of the anisotropy of the interactions;…

Strongly Correlated Electrons · Physics 2021-06-23 Takafumi Suzuki , Takuto Yamada , Sei-ichiro Suga

Background: The Agassi model is an extension of the Lipkin-Meshkov-Glick model that incorporates the pairing interaction. It is a schematic model that describes the interplay between particle-hole and pair correlations. It was proposed in…

Nuclear Theory · Physics 2018-05-09 J. E. García-Ramos , J. Dukelsky , P. Pérez-Fernández , J. M. Arias

We address the problem of orientational order in frustrated interaction systems as a function of the relative range of the competing interactions. We study a spin model Hamiltonian with short range ferromagnetic interaction competing with…

Statistical Mechanics · Physics 2013-06-14 Daniel G. Barci , Leonardo Ribeiro , Daniel A. Stariolo

Ultrathin magnetic films can be modeled as an anisotropic Heisenberg model with long-range dipolar interactions. It is believed that the phase diagram presents three phases: An ordered ferromagnetic phase I, a phase characterized by a…

Statistical Mechanics · Physics 2010-10-22 M. Rapini , R. A. Dias , B. V. Costa

}Thermodynamic properties and phase diagrams of a mixed spin-(1, 2) Ising ferrimagnetic system with single ion anisotropy on hexagonal nanowire are studied by using effective-field theory with correlations. The susceptibility, internal…

Statistical Mechanics · Physics 2014-07-07 Mehmet Ertaş , Ersin Kantar

The one-dimensional Holstein model of spinless fermions interacting with dispersionless phonons is studied using a new variant of the density matrix renormalisation group. By examining various low-energy excitations of finite chains, the…

Condensed Matter · Physics 2009-10-31 R. J. Bursill , R. H. McKenzie , C. J. Hamer

We study the effect of structured higher-order interactions on the collective behavior of coupled phase oscillators. By combining a hypergraph generative model with dimensionality reduction techniques, we obtain a reduced system of…

Adaptation and Self-Organizing Systems · Physics 2023-03-14 Sabina Adhikari , Juan G. Restrepo , Per Sebastian Skardal

The bulk of inelastic hadronic interactions is characterized by longitudinal phase space and exponentially damped transverse momentum spectra. A simple model with only a single adjustable parameter is presented, making it a very convenient…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. Schmelling

One of the signatures of the face-centered cubic (fcc) antiferromagnet as a typical example of a geometrically frustrated system is the large ground state degeneracy of the classical nearest neighbor and next-nearest neighbor Heisenberg…

Strongly Correlated Electrons · Physics 2022-05-04 Seydou-Samba Diop , George Jackeli , Lucile Savary

Here we present a fundamental comprehension of the microscopic mechanisms leading to the emergence of inverse melting transitions by considering a thorough mean-field analysis of a variety of minimal models with different competing…

Materials Science · Physics 2020-07-20 Alejandro Mendoza-Coto , Lucas Nicolao , Rogelio Díaz-Méndez

An Ising model with ferromagnetic nearest-neighbor interactions $J_{1}$ ($J_{1}>0$) and random next-nearest-neighbor interactions [$+J_{2}$ with probability $p$ and $-J_{2}$ with probability $(1-p)$; $J_{2}>0$] is studied within the…

Statistical Mechanics · Physics 2009-06-22 Octavio R. Salmon , J. Ricardo de Sousa , Fernando D. Nobre

We have studied the extended Hubbard model with pair hopping in the atomic limit for arbitrary electron density and chemical potential and focus on paramagnetic effects of the external magnetic field. The Hamiltonian considered consists of…

Strongly Correlated Electrons · Physics 2013-01-22 Konrad Kapcia , Stanisław Robaszkiewicz

We study the phase diagram of an elastic interaction model for spin crossover (SC) materials with antiferromagnetic-like short-range interactions. In this model, the interplay between the short-range interaction and the long-range…

Statistical Mechanics · Physics 2017-11-03 Masamichi Nishino , Seiji Miyashita , Per Arne Rikvold

We study the phase diagram, both at zero and finite temperature, in a class of $\mathbb{Z}_q$ models with infinite range interactions. We are able to identify the transitions between a symmetry-breaking and a trivial phase by using a…

Statistical Mechanics · Physics 2020-08-04 Adu Offei-Danso , Federica Maria Surace , Fernando Iemini , Angelo Russomanno , Rosario Fazio

In this work we have used extensive Monte Carlo calculations to study the planar to paramagnetic phase transition in the two-dimensional anisotropic Heisenberg model with dipolar interactions (AHd) considering the true long-range character…

Statistical Mechanics · Physics 2011-09-12 L. A. S. Mól , B. V. Costa