scholarly journals Finite-size spin-wave theory of the triangular Heisenberg model

2000 ◽  
Vol 61 (17) ◽  
pp. 11529-11532 ◽  
Author(s):  
Adolfo E. Trumper ◽  
Luca Capriotti ◽  
Sandro Sorella
Keyword(s):  
Spin Wave ◽  
Heisenberg Model ◽  
Finite Size ◽  
Wave Theory ◽  
Spin Wave Theory

scholarly journals FINITE-SIZE SPIN-WAVE THEORY OF A COLLINEAR ANTIFERROMAGNET

2003 ◽  
Vol 17 (27) ◽  
pp. 4819-4829 ◽  
Author(s):  
LUCA CAPRIOTTI
Keyword(s):  
Spin Wave ◽  
Ground State ◽  
Heisenberg Model ◽  
Order Parameter ◽  
Finite Size ◽  
Wave Theory ◽  
Spin Wave Theory ◽  
Scattering Measurements ◽  
Magnetic Structure Factor ◽  
Remarkable Agreement

The ground-state and low-energy properties of the two-dimensional J1-J2 Heisenberg model in the collinear phase are investigated using finite-size spin-wave theory [Q. F. Zhong and S. Sorella, Europhys. Lett.21, 629 (1993)], and Lanczos exact diagonalizations. For spin one-half — where the effects of quantization are the strongest — the spin-wave expansion turns out to be quantitatively accurate for J2/J1≳0.8. In this regime, both the magnetic structure factor and the spin susceptibility are very close to the spin-wave predictions. The spin-wave estimate of the order parameter in the collinear phase, m†≃0.3, is in remarkable agreement with recent neutron scattering measurements on Li 2 VOSiO 4.

scholarly journals Validity of spin-wave theory for the quantum Heisenberg model

2014 ◽  
Vol 108 (2) ◽  
pp. 20003 ◽  
Author(s):  
Michele Correggi ◽  
Alessandro Giuliani ◽  
Robert Seiringer
Keyword(s):  
Spin Wave ◽  
Heisenberg Model ◽  
Wave Theory ◽  
Spin Wave Theory

THE 2-d HEISENBERG MODEL WITH VARIOUS TYPES OF INTERACTIONS: TEMPERATURE DEPENDENCE OF MAGNETIC PARAMETERS AND THE PHASE TRANSITION TEMPERATURE

1993 ◽  
Vol 07 (01n03) ◽  
pp. 504-507
Author(s):  
N. GARCIA ◽  
A. LEVANYUK ◽  
P. SERENA
Keyword(s):  
Phase Transition ◽  
Transition Temperature ◽  
Temperature Dependence ◽  
Spin Wave ◽  
Phase Transition Temperature ◽  
Heisenberg Model ◽  
Wave Theory ◽  
Ferromagnetic Phase ◽  
Temperature Perturbation ◽  
Spin Wave Theory

Using the low-temperature perturbation (spin wave) theory we calculate the temperature dependence of anisotropy constant, spin-wave stiffness, spontaneous magnetization for a two-dimensional ferromagnetic Heisenberg model with various types of anisotropy and interactions. We found that the Polyakov renormalization procedure is inapplicable for ferromagnetic phase at any anisotropy. We did not find the reorientation phase transition due to dipole-dipole interaction predicted by Pescia and Pokrovsky. Taking into account the spin flips we obtained a phase transition temperature in good agreement with results of our Monte Carlo calculations. These results demonstrate also the effectiveness of the spin wave theory.

The Heisenberg model: Classical ground state and bilinear spin-wave theory

Physica B+C ◽  
1982 ◽  
Vol 112 (2) ◽  
pp. 147-187 ◽  
Author(s):  
C.A.M. Mulder ◽  
H.W. Capel ◽  
J.H.H. Perk
Keyword(s):  
Spin Wave ◽  
Ground State ◽  
Heisenberg Model ◽  
Wave Theory ◽  
Spin Wave Theory
Sign in / Sign up

Export Citation Format

Share Document