標題: Calculation of numerical microcanonical ensemble method on 2D statistical models
作者: Wang, JZ
Yang, TJ
電子物理學系
Department of Electrophysics
公開日期: 1-Jun-1998
摘要: In our earlier work, we proposed a new microcanonical ensemble method and showed that the numerical results of this method are correct in 1D models. In this paper, the numerical data in 2D models are presented. One of our calculations is concentrated on fermionic models, because fermionic models behave quite differently from bosonic models when the dimension is larger than two (there may be boson-fermion duality in 1D). Our results come out to be consistent with exact values. To our knowledge, there is no other numerical methods which can present reliable calculation on fermionic models with large lattice, especially when the temperature is low. In addition to the test on fermionic models, we also show our results on quantum 2D XY model. We calculate longitudinal spin-spin correlation, specific heat, vortex density and vortex pair density. These results agree with the calculations by other methods. The data of vortex density and vortex pair density seem to. display directly the unbinding of vortices and antivortices.
URI: http://hdl.handle.net/11536/32601
ISSN: 0577-9073
期刊: CHINESE JOURNAL OF PHYSICS
Volume: 36
Issue: 3
起始頁: 511
結束頁: 518
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