条纹形态的普适性
Universality of striped morphologies
摘要：
本文提出了一种计算具有各向同性势的球自旋模型和伊辛自旋模型的低温行为的方法。对于球形模型的基态的特征长度尺度被准确地确定，但形态被证明是退化的棋盘图案，条纹和更复杂的形态具有相同的能量。对于伊辛模型，我们表明，离散化打破了退化导致条纹形态是积极的青睐，因此，他们普遍出现的基态的潜在的汉克尔变换有非平凡的最小值。
英文摘要：
We present a method for predicting the low-temperature behavior of spherical and Ising spin models with isotropic potentials. For the spherical model the characteristic length scales of the ground states are exactly determined but the morphology is shown to be degenerate with checkerboard patterns, stripes and more complex morphologies having identical energy. For the Ising models we show that the discretization breaks the degeneracy causing striped morphologies to be energetically favored and therefore they arise universally as ground states to potentials whose Hankel transforms have nontrivial minima.
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