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【期刊论文】The Critical Line of an Ising Antiferromagnet on Square and Honeycomb Lattices
王先智, Xian-Zhi Wang and Jai Sam Kim
PHYSICAL REVIEW LETTERS, 1997, 78 (3): 413~416,-0001,():
-1年11月30日
We show that the singularity of the free energy of Ising models in the absence of a magnetic field on the triangular, square, and honeycomb lattices is related to zeros of the pseudopartition function on an elementary cycle. Using the Griffiths' smoothness postulate, we extend these results to the case in a magnetic field and derive a formula of the critical line of an Ising antiferromagnet, which is in good agreement with the numerical results.
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【期刊论文】Yang-Lee circle theorem for an ideal pseudospin-1' 2 Bose gas in an external magnetic field
王先智, Xian Zhi Wang
PHYSICAL REVIEW E, VOLUME 63, 046103,-0001,():
-1年11月30日
The Yang-Lee circle theorem is extended to an ideal pseudospin-1/2 Bose gas in an external magnetic field. It is found that the zeros of the canonical partition function are located on the unit circle in the complex activity plane if the temperature is above the critical temperature of ideal Bose-Einstein condensation. No zeros exist if the temperature is below the critical temperature.
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【期刊论文】Critical temperature of Bose-Einstein condensation of a dilute Bose gas
王先智, Xian-Zhi Wang
Physica A 341(2004)433-443,-0001,():
-1年11月30日
Using the Huang-Yang-Luttinger and Lee-Yang virial expansions of a dilute Bose gas as well as our theory of phase transition, we show that in the dilute limit, the critical temperature of Bose-Einstein condensation of a Bose gas is given by [Tc-T(0)c ] = T(0)c = γn1 = 3a, = 4 [ζ(3/2)]5/3/[3 ζ(5/2)] = 4. 92506..., which is in good agreement with the experimental result of Reppy et al.,γ= 5.1 ± 0.9.
Critical temperature, Bose-Einstein condensation, Zeros of canonical partition function
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【期刊论文】Formula of the aeneralized dimensions for the screened-rowth model
王先智, Xian-zhi Wanz Yun Huang
PHSICAL REVIEW A, 1992, 46 (2): 46~46,-0001,():
-1年11月30日
Based on Meakin' s simulation results [Phys. Rev. A 34, 710 (1986); 35, 2234 (1987)], we use the bino-mial distribution to discuss the growth probability for the screened-growth model and develop a formula of the generalized dimensions. The results from this model are in good agreement with those from the simulations.
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【期刊论文】Critical line of an anisotropic Ising antiferromagnet on square and honeycomb lattices
王先智, Xian-Zhi Wang and Jai Sam Kim
VOLUME 56, NUMBER 3,-0001,():
-1年11月30日
Using the approach that we developed recently, we find the critical line of an anisotropic Ising antiferromagnet on two-dimensional square and honeycomb lattices. We extend our previous lemma and conjecture to be useful in the antiferromagnetic system. We find two interesting behaviors: (1) An antiferromagnet is not necessarily most inert at the absolute zero. (2) The field-driven antiferromagnetic phase transition is possible in the honeycomb lattice.
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