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The consistent theory of the Heisenberg quantum antiferromagnet in the disordered phase with short range antiferromagnetic order was developed on the basis of the path integral for the spin coherent states. We have presented the Lagrangian…

Strongly Correlated Electrons · Physics 2009-10-31 Victor I. Belinicher , Joao da Providencia

In an extensive computational experiment, we test Polyakov's conjecture that under certain circumstances an isotropic Heisenberg model can develop algebraic spin correlations. We demonstrate the emergence of a multi-spin $\text{U(1)}$ order…

Strongly Correlated Electrons · Physics 2015-10-23 Bhilahari Jeevanesan , Premala Chandra , Piers Coleman , Peter P. Orth

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 spin-1 Heisenberg antiferromagnet on a triangular lattice with the nearest- and next-nearest-neighbor couplings, $J_1=(1-p)J$ and $J_2=pJ$, $J>0$, is studied in the entire range of the parameter $p$. Mori's projection operator technique…

Strongly Correlated Electrons · Physics 2015-05-19 P. Rubin , A. Sherman , M. Schreiber

Hexagonal HoMnO$_{3}$ is a frustrated antiferromagnet (T$_{N}$=72 K) ferroelectric (T$_{C}$=875 K) in which these two order parameters are coupled. Our neutron measurements of the spin wave dispersion for the S=2 Mn$^{3+}$ on the layered…

Strongly Correlated Electrons · Physics 2009-11-11 O. P. Vajk , M. Kenzelmann , J. W. Lynn , S. B. Kim , S. -W. Cheong

The spin wave dispersions of the low temperature antiferromagnetic phase (AF1) MnWO$_4$ have been numerically calculated based on the recently reported non-collinear spin configuration with two different canting angles. A Heisenberg model…

Materials Science · Physics 2018-08-01 B. -Q. Liu , S. -H. Park , P. Cermak , A. Schneidewind , Y. Xiao

Magnetic phase diagram of a spatially anisotropic, frustrated spin-1/2 Heisenberg antiferromagnet on a stacked square lattice is investigated using second-order spin-wave expansion. The effects of interlayer coupling and the spatial…

Strongly Correlated Electrons · Physics 2011-01-10 Kingshuk Majumdar

The magnetic properties of two-dimensional (2D) materials have been attracting increasing attention in recent years due to their unique behavior and possible applications in new devices. One material of great interest is the 2D van der…

Materials Science · Physics 2025-10-08 Sergio M. Rezende , Byron Freelon , Roberto L. Rodríguez-Suárez

The thermodynamics of layered antiferro- and ferromagnets with a weak interlayer coupling and/or easy-axis anisotropy is investigated. A crossover from an isotropic 2D-like to 3D Heisenberg (or 2D Ising) regime is discussed within the…

Strongly Correlated Electrons · Physics 2007-05-23 V. Yu. Irkhin , A. A. Katanin

Magnetic excitations of the exchange-dipole quasi 1D XXZ antiferromagnet are studied in the ordered phase. We observe a transformation of the electron spin resonance (ESR) spectrum when crossing the N\'{e}el temperature near 0.2 K. The…

Strongly Correlated Electrons · Physics 2025-09-18 T. A. Soldatov , A. I. Smirnov

We investigate magnetic properties of a two-dimensional periodic structure with Ising spins and antiferromagnetic nearest neighbor interaction. The structure is topologically equivalent to the Archimedean (3,12^2) lattice. The ground state…

Statistical Mechanics · Physics 2007-05-23 M. J. Krawczyk , K. Malarz , B. Kawecka-Magiera , A. Z. Maksymowicz , K. Kulakowski

The ground-state and low-energy properties of the two-dimensional $J_1{-}J_2$ Heisenberg model in the collinear phase are investigated using finite-size spin-wave theory [Q. F. Zhong and S. Sorella, {\em Europhys. Lett.} {\bf 21}, 629…

Strongly Correlated Electrons · Physics 2009-11-10 Luca Capriotti

The Mermin-Wagner theorem states that long-range magnetic order does not exist in one- or two-dimensional (2D) isotropic magnets with short-ranged interactions. The theorem has been a milestone in magnetism and has been driving the research…

In this work, the spin wave calculations were carried out using the Heisenberg Hamiltonian to study the allowed spin waves of zigzag and armchair edged stripes for ferromagnetic nanodots arrayed in a 2D honeycomb lattice \cite{Selim2011}.…

Mesoscale and Nanoscale Physics · Physics 2011-10-27 Maher Ahmed

The thermodynamic properties of ferromagnetic spin chains have been the subject of many publications. Still, the problem of how the spin-wave interaction manifest itself in these low-temperature series has been neglected. Using the method…

Strongly Correlated Electrons · Physics 2015-06-16 Christoph P. Hofmann

Using exact diagonalization techniques we study the dynamical response of the anisotropic disordered Heisenberg model for systems of S=1/2 spins with infinite range random exchange interactions at temperature T=0. The model can be…

Disordered Systems and Neural Networks · Physics 2007-05-23 Liliana Arrachea , Marcelo J. Rozenberg

The frustrated triangular Ising magnet Ca$_3$Co$_2$O$_6$ has long been known for an intriguing combination of extremely slow spin dynamics and peculiar magnetic orders, such as the evenly-spaced non-equilibrium metamagnetic magnetization…

Strongly Correlated Electrons · Physics 2023-04-12 Y. Kamiya

A spin wave is the disturbance of intrinsic spin order in magnetic materials. In this paper, a spin wave in the Landau-Lifshitz-Gilbert equation is obtained based on the assumption that the spin wave maintains its shape while it propagates…

Mesoscale and Nanoscale Physics · Physics 2019-10-25 Zhiwei Sun , Jingrun Chen

Certain approximations for the spin expectations have been studied both numerically and theoretically. Approximations are constructed using solutions of the lattice heat equation. The most interesting idea is a certain randomness assumption…

Mathematical Physics · Physics 2007-05-23 Paul Federbush

A model for a Heisenberg antiferromagnet on a pyrochlore lattice with exchange and dipole-dipole interactions is studied via mean-field theory. In treating the dipoles by use of the Ewald method, a soft (critical) mode with a unique…

Statistical Mechanics · Physics 2007-05-23 Matthew Enjalran , Michel J. P. Gingras