arXivDaily arXiv每日学术速递 周一至周五更新
arXiv quant-ph/0506202quant-ph
收藏

周期边界条件下平面正方晶格伊辛模型的自旋投影取向

Spin-projection orientations in the plane square-lattice Ising model with periodic boundary conditions

You-gang Feng

摘要:

周期性边界条件将平面正方格子伊辛模型转化为限制自旋投影取向的环面格子模型。在三个重要的自旋投影方向中,只有两个方向(平行于x轴或y轴)适合于环面晶格系统。这两个体系的自由能相差无穷小,使得它们的临界温度无限接近,但它们的拓扑基本群却不同。

英文摘要:

The periodic boundary conditions changed the plane square-lattice Ising model to the torus-lattice system which restricts the spin-projection orientations. Only two of the three important spin-projection orientations, parallel to the x-axis or to the y-axis, are suited to the torus-lattice system. The infinitesimal difference of the free-energies of the systems between the two systems mentioned above makes their critical temperatures infinitely close to each other, but their topological fundamental groups are distinct.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑