Chinese Physics C > 1990, Vol. 14 > Issue(6): 500-503

THE CANONICAL TRANSFORMATION AND THE SPIN WAVE IN TWO DIMENSIONAL HEISENBERG ANTIFER-ROMAGNETIC SYSTEM

SU Gang^,,
NIU Yun

Department of Physics,Lanzhou University

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Abstract：
The canonical transformation in two dimensional Heisenberg antiferromagnetic system is given in this paper.It is found that under this transformation the 2D Heisenberg antiferromagnetic model is the nonlinear O(3) σ model with a topological term in the continnum limit.Since there exists a large uncertainty when one chooses the canonical variables,it is not completely concluded that whether the topological term really occurs in this system.Finally,the physical meaning of the canonical transformation is also investigated,and it is found that it corresponds to the collective excitations of system spins,i.e.,a kind of spin waves exists in this case.

References

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SU Gang and NIU Yun. THE CANONICAL TRANSFORMATION AND THE SPIN WAVE IN TWO DIMENSIONAL HEISENBERG ANTIFER-ROMAGNETIC SYSTEM[J]. Chinese Physics C, 1990, 14(6): 500-503.

SU Gang and NIU Yun. THE CANONICAL TRANSFORMATION AND THE SPIN WAVE IN TWO DIMENSIONAL HEISENBERG ANTIFER-ROMAGNETIC SYSTEM[J]. Chinese Physics C, 1990, 14(6): 500-503. shu

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Received: 1900-01-01
Revised: 1900-01-01

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沈阳化工大学材料科学与工程学院沈阳 110142

THE CANONICAL TRANSFORMATION AND THE SPIN WAVE IN TWO DIMENSIONAL HEISENBERG ANTIFER-ROMAGNETIC SYSTEM

SU Gang^,
NIU Yun

Corresponding author:SU Gang,

Department of Physics,Lanzhou University

Received Date:1900-01-01
Accepted Date:1900-01-01
Available Online:1990-06-05

Abstract:The canonical transformation in two dimensional Heisenberg antiferromagnetic system is given in this paper.It is found that under this transformation the 2D Heisenberg antiferromagnetic model is the nonlinear O(3) σ model with a topological term in the continnum limit.Since there exists a large uncertainty when one chooses the canonical variables,it is not completely concluded that whether the topological term really occurs in this system.Finally,the physical meaning of the canonical transformation is also investigated,and it is found that it corresponds to the collective excitations of system spins,i.e.,a kind of spin waves exists in this case.