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The Boson-Fermion model, describing a mixture of hybridized localized Bosons and itinerant Fermions on a lattice, is known to exhibit spectral properties for the Fermions which upon lowering the temperature develop into a three pole…

Strongly Correlated Electrons · Physics 2009-10-30 T. Domanski , J. Ranninger , J. M. Robin

Equation of state of uncharged bosonic matter is studied within a field-theoretical approach in the mean-field approximation. Interaction of bosons is described by a scalar field $\sigma$ with a Skyrme-like potential which contains both…

High Energy Physics - Phenomenology · Physics 2024-12-31 Leonid M. Satarov , Igor N. Mishustin , Horst Stoecker

The isotropic scattering phase shift is calculated for non-relativistic bosons interacting at low energies via an arbitrary finite-range potential in d spacetime dimensions. Scattering on a (d-1)-dimensional torus is then considered, and…

Quantum Gases · Physics 2011-04-14 Silas R. Beane

We investigate the thermodynamics of the one-dimensional t-J model using transfer matrix renormalization group (TMRG) algorithms and present results for quantities like particle number, specific heat, spin susceptibility and…

Strongly Correlated Electrons · Physics 2007-05-23 J. Sirker , A. Klümper

Numerical results for ground state and excited state properties (energies, double occupancies, and Matsubara-axis self energies) of the single-orbital Hubbard model on a two-dimensional square lattice are presented, in order to provide an…

The quantum phase transition in the ground state of the Extended spin S=1/2 XY model is studied in detail. Using the exact solution of the model the low temperature thermodynamics, as well as the ground state phase diagram of the model in…

Strongly Correlated Electrons · Physics 2016-08-31 Irakli Titvinidze , G. I. Japaridze

In this paper, we derive the limit of experiments for one parameter Ising models on dense regular graphs. In particular, we show that the limiting experiment is Gaussian in the low temperature regime, non Gaussian in the critical regime,…

Statistics Theory · Mathematics 2023-05-11 Yuanzhe Xu , Sumit Mukherjee

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

By using extended bosonic coherent states, a new technique to solve the Dicke model exactly is proposed in the numerical sense. The accessible system size is two orders of magnitude higher than that reported in literature. Finite-size…

Quantum Physics · Physics 2009-11-13 Qing-Hu Chen , Yu-Yu Zhang , Tao Liu , Ke-Lin Wang

In this paper we present a study of the effects of two different single-ion anisotropies in the phase diagram and in the compensation temperature of the mixed spin-2 and spin-5/2 Ising ferrimagnetic system. We employed the mean-field theory…

Statistical Mechanics · Physics 2011-12-14 J. S. da Cruz Filho , M. Godoy , A. S. de Arruda

The paper contains a development of the previously proposed generalized lattice model (GLM). In contrast to usual lattice models, the difference of the specific atomic volumes of the components is taken in account in GLM. In addition to…

Statistical Mechanics · Physics 2010-03-16 A. Yu. Zakharov , A. A. Schneider , A. L. Udovsky

We consider the many-body quantum Gibbs state for the Bose-Hubbard model on a finite graph at positive temperature. We scale the interaction with the inverse temperature, corresponding to a mean-field limit where the temperature is of the…

Mathematical Physics · Physics 2024-05-08 Zied Ammari , Shahnaz Farhat , Sören Petrat

After elimination of the redundant variables, gauge theories may still exhibit symmetries associated with the gauge fields. The role of these residual gauge symmetries is discussed within the Abelian Higgs model and the Georgi-Glashow…

High Energy Physics - Theory · Physics 2009-10-31 Frieder Lenz , John W. Negele , Lochlainn O'Raifeartaigh , Michael Thies

The theory of Poisson-$\sigma$-models employs the mathematical notion of Poisson manifolds to formulate and analyze a large class of topological and almost topological two dimensional field theories. As special examples this class of field…

High Energy Physics - Theory · Physics 2015-06-26 Peter Schaller , Thomas Strobl

This paper discusses the theory and numerical method of two-scale analysis for the multiscale Landau-Lifshitz-Gilbert equation in composite ferromagnetic materials. The novelty of this work can be summarized in three aspects: Firstly, the…

Numerical Analysis · Mathematics 2024-03-25 Xiaofei Guan , Hang Qi , Zhiwei Sun

Non-standard Bose-Hubbard models can exhibit rich ground state phase diagrams, even when considering the one-dimensional limit. Using a self-consistent Gutzwiller diagonalisation approach, we study the mean-field ground state properties of…

Quantum Gases · Physics 2019-10-30 Dean Johnstone , Niclas Westerberg , Callum W. Duncan , Patrik Öhberg

A novel approach for studying phase transitions in systems with quantum degrees of freedom is discussed. Starting from the microscopic hamiltonian of a quantum model, we first derive a set of exact differential equations for the free energy…

Strongly Correlated Electrons · Physics 2009-10-31 Pietro Gianinetti , Alberto Parola

The random current representation of the Ising model, along with a related path expansion, has been a source of insight on the stochastic geometric underpinning of the ferromagnetic model's phase structure and critical behavior in different…

Mathematical Physics · Physics 2025-09-23 Michael Aizenman

In this talk I discuss extended Higgs sectors in which the 125 GeV Higgs boson couplings to W and Z bosons can be larger than in the Standard Model. Constraints from perturbative unitarity and the electroweak rho parameter limit the number…

High Energy Physics - Phenomenology · Physics 2015-04-29 Heather E. Logan

A novel nonlinear sigma model method is proposed for the two-dimensional J1-J2 model, which is extended to include plaquette-type distortion. The nonlinear sigma model is properly derived without spoiling the original spin degrees of…

Strongly Correlated Electrons · Physics 2007-05-23 Ken'ichi Takano , Yoshiya Kito , Yoshiaki Ono , Kazuhiro Sano