Topics in Statistic Mechanics
Topics in Statistic Mechanics
Topics in Statistic Mechanics
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Adv. Sta. Phy. Homework 5 XY Model Li,Zimeng PB06203182<br />
Here L is the length of lattice and a is lattice constant.<br />
Whether the vortice state is stable can be decided by whether it can m<strong>in</strong>imize the free<br />
energy at some conditions. We write down the free energy:<br />
When we have is the transition<br />
temperature when vortice state become stable or unstable.<br />
And this<br />
is thus called KT critical temperature<br />
4.3 3D - Heisenberg Model<br />
To be implemented<br />
Reference<br />
1.Yang, Z. R. (2007). "Quantum <strong>Statistic</strong> Physics." High Education Press: 421.<br />
2.Masatoshi Imada, A. F., Yosh<strong>in</strong>ori Tokura (1998). "Metal-<strong>in</strong>sulator transitions."<br />
Reviews of Modern Physics 70(4).<br />
3.Henkel M. Conformal <strong>in</strong>variance and critical phenomena (Spr<strong>in</strong>ger, 1999)(ISBN<br />
354065321X)(K)(T)(434s)
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