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Particles, string and interface in the three-dimensional Ising model
Nuclear Physics B ( IF 2.8 ) Pub Date : 2020-08-05 , DOI: 10.1016/j.nuclphysb.2020.115139
Gesualdo Delfino , Walter Selke , Alessio Squarcini

We consider the three-dimensional Ising model slightly below its critical temperature, with boundary conditions leading to the presence of an interface. We show how the interfacial properties can be deduced starting from the particle modes of the underlying field theory. The product of the surface tension and the correlation length yields the particle density along the string whose propagation spans the interface. We also determine the order parameter and energy density profiles across the interface, and show that they are in complete agreement with Monte Carlo simulations that we perform.



中文翻译:

三维Ising模型中的粒子,字符串和界面

我们认为三维伊辛模型略低于其临界温度,边界条件导致存在界面。我们展示了如何从基础场论的粒子模式出发推导界面性质。表面张力和相关长度的乘积沿沿传播的界面的弦产生粒子密度。我们还确定了界面上的阶跃参数和能量密度曲线,并表明它们与我们执行的蒙特卡洛模拟完全一致。

更新日期:2020-08-12
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