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In the paper we describe the modification of spin-wave theory for one-dimensional isotropic antiferromagnet. This theory enables to obtain the energy of magnetic excitations of short wave length and correlation function in agreement with…

Strongly Correlated Electrons · Physics 2007-05-23 D. V. Spirin

A spin-wave theory of short-range order in the square lattice Heisenberg antiferromagnet is formulated. With growing temperature from T=0 a gapless mode is shown to arise simultaneously with opening a gap in the conventional spin-wave mode.…

Strongly Correlated Electrons · Physics 2009-10-31 A. Sherman , M. Schreiber

Spin-wave perturbation theory for the Heisenberg antiferromagnet at zero temperature is used to compute the finite-lattice corrections to the ground state energy, the staggered magnetization and the energy gap. The dispersion relation, the…

Condensed Matter · Physics 2009-10-22 Zheng Weihong , C. J. Hamer

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

The self-consistent spin-wave theory is applied to investigate the magnetization distribution around the impurity in isotropic and easy-axis two-dimensional ferro- and antiferromagents. The temperature dependences of host magnetization…

Condensed Matter · Physics 2011-07-22 V. Yu. Irkhin , A. A. Katanin , M. I. Katsnelson

We derive the low-temperature properties of spin-S quantum Heisenberg magnets from the Gibbs free energy G(M) for fixed order parameter M. Assuming that the low-lying elementary excitations of the system are renormalized spin waves, we show…

Strongly Correlated Electrons · Physics 2009-11-07 Marcus Kollar , Ivan Spremo , Peter Kopietz

The versions of the self-consistent spin-wave theories (SSWT) of two-dimensional (2D) Heisenberg ferro- and antiferromagnets with a weak interlayer coupling and/or magnetic anisotropy, that are based on the non-linear Dyson-Maleev,…

Strongly Correlated Electrons · Physics 2011-07-22 V. Yu. Irkhin , A. A. Katanin , M. I. Katsnelson

We develop a self-consistently renormalized spin-wave theory, within a mean-field approximation, for the two-dimensional Heisenberg ferromagnet with perpendicular easy-axis anisotropy on the honeycomb lattice, as well as its few-layer and…

Materials Science · Physics 2021-08-25 Vagharsh Mkhitaryan , Liqin Ke

The thermodynamics of the quantum Heisenberg antiferromagnet on a square lattice is revisited through a linearized spin-wave theory which is well defined at any finite temperature. We re-examine in details the temperature dependence of the…

Strongly Correlated Electrons · Physics 2009-12-31 M. M. Liang , Y. H. Su

In the last decade it has been proven that the standard spin wave theory was able to provide accurate zero-temperature results for a number of low-dimensional Heisenberg spin systems. In this chapter we introduce the main ingredients of the…

Strongly Correlated Electrons · Physics 2009-11-10 N. B. Ivanov , D. Sen

We study the low temperature thermodynamics of the quantum Heisenberg ferromagnet in three dimension for any value of the spin $ S \geq 1/2 $. We report on a rigorous proof of the validity of the spin-wave approximation for the excitation…

Mathematical Physics · Physics 2016-02-02 M. Correggi , A. Giuliani , R. Seiringer

We present a finite size spin wave calculation on the Heisenberg antiferromagnet on the triangular lattice focusing in particular on the low-energy part of the excitation spectrum. For s=1/2 the good agreement with the exact diagonalization…

Statistical Mechanics · Physics 2009-10-31 Adolfo E. Trumper , Luca Capriotti , Sandro Sorella

A spin-rotation-invariant Green's-function theory of long-range and short-range order (SRO) in the $S=1/2$ antiferromagnetic Heisenberg model with spatially anisotropic couplings on a simple cubic lattice is presented. The staggered…

Strongly Correlated Electrons · Physics 2009-10-31 L. Siurakshina , D. Ihle , R. Hayn

We develop a microscopic theory of finite-temperature spin-nematic orderings in three-dimensional spatially anisotropic magnets consisting of weakly-coupled frustrated spin-1/2 chains with nearest-neighbor and next-nearest-neighbor…

Strongly Correlated Electrons · Physics 2013-02-19 Masahiro Sato , Toshiya Hikihara , Tsutomu Momoi

We extend the nonlinear spin wave theory (NLSWT) for the spin 1/2 antiferromagnetic Heisenberg model on a triangular lattice (TAFHM). This novel NLSWT considers the corrections one order higher in 1/S than the linear spin wave theory…

Strongly Correlated Electrons · Physics 2011-10-05 Lihua Wang , Sung Gong Chung

In this work, the area and edges spin wave calculations were carried out using the Heisenberg Hamiltonian and the tridiagonal method for the 2D ferromagnetic square lattice stripe, where the SW modes are characterized by a 1D in-plane wave…

Mesoscale and Nanoscale Physics · Physics 2011-10-21 Maher Z. Ahmed

Modifying the conventional spin-wave theory in a novel manner based on the Wick decomposition, we present an elaborate thermodynamics of square-lattice quantum antiferromagnets. Our scheme is no longer accompanied by the notorious problem…

Strongly Correlated Electrons · Physics 2019-03-13 Shoji Yamamoto , Yusaku Noriki

Spin waves are the fundamental excitations in magnetically ordered spin systems and are ubiquitously observed in magnetic materials. However, the standard understanding of spin waves as collective spin oscillations in an effective harmonic…

Strongly Correlated Electrons · Physics 2025-09-01 Anna Fancelli , Matías G. Gonzalez , Subhankar Khatua , Bella Lake , Michel J. P. Gingras , Jeffrey G. Rau , Johannes Reuther

Second-order spin-wave expansions are used to compute the ground-state energy and sublattice magnetizations of the quantum one-dimensional Heisenberg ferrimagnet with nearest-neighbor antiferromagnetic interactions and two types of…

Strongly Correlated Electrons · Physics 2009-10-30 N. B. Ivanov

Spin wave theory is a key ingredient in our comprehension of quantum spin systems, and is used successfully for understanding a wide range of magnetic phenomena, including magnon condensation and stability of patterns in dipolar systems.…

Statistical Mechanics · Physics 2015-06-19 Michele Correggi , Alessandro Giuliani , Robert Seiringer
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