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Quantum Heisenberg ferromagnets with long-range interactions decayin as $1/r^p$ in one and two dimensions are investigated by means of the Green's function method. It is shown that there exists a finite-temperature phase transition in the…

Condensed Matter · Physics 2009-10-28 Hiroki Nakano , Minoru Takahashi

A modified spin-wave theory is applied to the one-dimensional quantum Heisenberg model with long-range ferromagnetic interactions. Low-temperature properties of this model are investigated. The susceptibility and the specific heat are…

Condensed Matter · Physics 2009-10-22 Hiroki Nakano , Minoru Takahashi

Motived by the necessity of explicit and reliable calculations, as a valid contribution to clarify the effectiveness and, possibly, the limits of the Tsallis thermostatistics, we formulate the Two-Time Green Functions Method in nonextensive…

Statistical Mechanics · Physics 2009-11-11 A. Cavallo , F. Cosenza , L. De Cesare

We use the rotation-invariant Green's function method (RGM) and the high-temperature expansion (HTE) to study the thermodynamic properties of the spin-$S$ Heisenberg ferromagnet on the pyrochlore lattice. We examine the excitation spectra…

Strongly Correlated Electrons · Physics 2017-11-22 Patrick Müller , Andre Lohmann , Johannes Richter , Oleg Menchyshyn , Oleg Derzhko

The thermodynamic properties (magnetization, magnetic susceptibility, transverse and longitudinal correlation lengths, specific heat) of one- and two-dimensional ferromagnets with arbitrary spin S in a magnetic field are investigated by a…

Strongly Correlated Electrons · Physics 2009-11-13 I. Juhász Junger , D. Ihle , L. Bogacz , W. Janke

We present a detailed theoretical overview of the thermodynamic properties of the dipolar spin ice model, which has been shown to be an excellent quantitative descriptor of the Ising pyrochlore materials Dy_2Ti_2O_7 and Ho_2Ti_2O_7. We show…

Disordered Systems and Neural Networks · Physics 2015-06-24 Roger G. Melko , Matthew Enjalran , Byron C. den Hertog , Michel. J. P. Gingras

We present a spin-rotation-invariant Green-function theory of long- and short-range order in the ferro- and antiferromagnetic Heisenberg model with arbitrary spin quantum number S on a stacked square lattice. The thermodynamic quantities…

Strongly Correlated Electrons · Physics 2010-09-23 I. Juhász Junger , D. Ihle , J. Richter

We present a general theory for the intermediate temperature (T) properties of Heisenberg antiferromagnets of spin-S ions on p-leg ladders, valid for 2Sp even or odd. Following an earlier proposal for 2Sp even (Damle and Sachdev,…

Strongly Correlated Electrons · Physics 2007-05-23 Chiranjeeb Buragohain , Subir Sachdev

Long-range quantum systems, in which the interactions decay as $1/r^{\alpha}$, are of increasing interest due to the variety of experimental set-ups in which they naturally appear. Motivated by this, we study fundamental properties of…

Quantum Physics · Physics 2026-01-08 Jorge Sánchez-Segovia , Jan T. Schneider , Álvaro M. Alhambra

Various types of mixed spin two-dimensional Heisenberg networks are investigated by means of Monte Carlo simulations. This study aims at interpreting quantitatively the thermodynamical properties of two-dimensional molecule-based magnets…

Statistical Mechanics · Physics 2009-10-30 B. Mombelli , O. Kahn , J. Leandri , Y. Leroyer , S. Mechkov , Y. Meurdesoif

Ferromagnetism in one dimension is a novel observation which has been reported in a recent work (P. Gambardella et.al., Nature {\bf 416}, 301 (2002)), anisotropies are responsibles in that relevant effect. In the present work, another…

Statistical Mechanics · Physics 2009-11-11 S. Curilef , L. A. del Pino , P. A. Orellana

We calculate the low-temperature thermodynamic quantities (magnetization, correlation functions, transverse and longitudinal correlation lengths, spin susceptibility, and specific heat) of the frustrated one-dimensional spin-half J1-J2…

Strongly Correlated Electrons · Physics 2015-05-27 M. Härtel , J. Richter , D. Ihle

We study thermodynamic properties of the one-dimensional Heisenberg ferrimagnet with antiferromagnetically exchange-coupled two kinds of spins 1 and 1/2. The specific heat and the magnetic susceptibility are calculated employing a modified…

Statistical Mechanics · Physics 2009-10-30 Shoji Yamamoto , Takahiro Fukui

Ferromagnetic, in contrast to antiferromagnetic, Heisenberg chains can undergo a Spin-Peierls dimerization only at finite temperatures. They show reentrant behavior as a function of temperature, which might play a role for systems with…

Strongly Correlated Electrons · Physics 2011-10-19 A. Herzog , P. Horsch , A. M. Oles , J. Sirker

The classical spin system consisting of three spins with Heisenberg interaction is an example of a completely integrable mechanical system. In this paper we explicitly calculate thermodynamic quantities as density of states, specific heat,…

Statistical Mechanics · Physics 2022-11-23 Heinz-Jürgen Schmidt , Christian Schröder

In this article we review a less known unperturbative and powerful many-body method in the framework of classical statistical mechanics and then we show how it works by means of explicit calculations for a nontrivial classical model. The…

Statistical Mechanics · Physics 2007-05-23 A. Cavallo , F. Cosenza , L. De Cesare

Small spin systems at the interface between analytical studies and experimental application have been intensively studied in recent decades. The spin ring consisting of four spins with uniform antiferromagnetic Heisenberg interaction is an…

Statistical Mechanics · Physics 2023-04-19 Heinz-Jürgen Schmidt , Christian Schröder

We use the rotation-invariant Green's function method (RGM) and the high-temperature expansion (HTE) to study the thermodynamic properties of the Heisenberg antiferromagnet on the pyrochlore lattice. We discuss the excitation spectra as…

Strongly Correlated Electrons · Physics 2019-07-24 Patrick Müller , Andre Lohmann , Johannes Richter , Oleg Derzhko

The question of the existence of order in two-dimensional isotropic dipolar Heisenberg antiferromagnets is studied. It is shown that the dipolar interaction leads to a gap in the spin-wave energy and a nonvanishing order parameter. The…

Condensed Matter · Physics 2009-10-22 C. Pich , F. Schwabl

We investigate the thermodynamic properties of Heisenberg ferrimagnetic mixed-spin chains both numerically and analytically with particular emphasis on the combination of ferromagnetic and antiferromagnetic features. Employing a new…

Statistical Mechanics · Physics 2009-10-31 Shoji Yamamoto , Takahiro Fukui , Klaus Maisinger , Ulrich Schollwöck
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