Spin-Wave Excitations in the Square-Lattice Heisenberg Antiferromagnet

1990 ◽  
Vol 59 (2) ◽  
pp. 706-712 ◽  
Author(s):  
Tosizumi Aoki
Keyword(s):  
Spin Wave ◽  
Square Lattice ◽  
Heisenberg Antiferromagnet ◽  
Spin Wave Excitations

MODIFIED SPIN-WAVE THEORY FOR THE FRUSTRATED HEISENBERG ANTIFERROMAGNET ON A SQUARE LATTICE

2013 ◽  
Vol 27 (11) ◽  
pp. 1350021 ◽  
Author(s):  
YOU WU ◽  
YUAN CHEN
Keyword(s):  
Spin Wave ◽  
Quantum Monte Carlo ◽  
Present Method ◽  
Nearest Neighbors ◽  
Wave Theory ◽  
Exact Diagonalization ◽  
Quantum Spin ◽  
Square Lattice ◽  
Heisenberg Antiferromagnet ◽  
Spin Wave Theory

The effects of quantum fluctuations due to frustration between nearest neighbors and next-nearest neighbors of the quantum spin-half Heisenberg antiferromagnet on a square lattice are investigated by using the modified spin-wave theory (MSW). We have extended Takahashi's MSW theory, and studied the ground-state and finite-temperature properties of this model. The results calculated within this formalism on the thermodynamics agree quite well with the quantum Monte Carlo estimates, and exact diagonalization results. We have also compared the present method with the conventional spin wave theory.

THE FINITE-SIZE PROPERTIES OF THE SQUARE LATTICE QUANTUM HEISENBERG ANTIFERROMAGNET

2001 ◽  
Vol 15 (02) ◽  
pp. 61-68
Author(s):  
YUN SONG
Keyword(s):  
Spin Wave ◽  
Wave Velocity ◽  
Low Temperatures ◽  
Finite Size ◽  
Wave Theory ◽  
Square Lattice ◽  
Finite Size Effect ◽  
Heisenberg Antiferromagnet ◽  
Lattice Size ◽  
Lattice Quantum

We study the spin-1/2 square lattice Heisenberg antiferromagnets with finite size by the nonlinear spin-wave theory. At low temperatures, the effects of the lattice size (L×L) on the spin-wave velocity and the staggered magnetization are obtained, respectively. We find that the staggered magnetization is very sensitive to the lattice size, while the finite size effect on the spin-wave velocity is weak. Moreover, the temperature dependence of the correlation length is also discussed. The results we have obtained are in agreement with the results of experiments and numerical simulations.

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