论文标题

通过选择性键稀释,更改三维爱德华兹 - 安德森自旋玻璃模型的通用类别

Changing the universality class of the three-dimensional Edwards-Anderson spin-glass model by selective bond dilution

论文作者

Romá, F.

论文摘要

三维爱德华兹 - 安德森旋转玻璃模型表现出强烈的空间异质性,其特征在于所谓的主链,这是由于基态的特性以及这种沮丧的伊斯林系统的低兴奋水平而产生的磁性结构。使用大量的蒙特卡洛模拟和有限尺寸的缩放,我们研究了这些异质性如何影响模型的相变。虽然,我们没有检测到整个系统所显示的临界行为和在骨架内部和外部观察到的临界行为之间的任何显着差异,但令人惊讶的是,这种磁性结构的补​​充的选择性键稀释会导致通用类别的变化,而当骨架完全稀释时,没有任何变化。这一发现表明,与以前认为,骨干周围区域在确定爱德华兹·安德森旋转玻璃模型的物理特性方面起着更相关的作用。此外,我们表明,当选择性键稀释改变相变的通用类别时,模型的基态不会发生任何变化。相反的情况也有效,即。例如,这种不改变关键行为的稀释会显着影响基本水平。

The three-dimensional Edwards-Anderson spin-glass model present strong spatial heterogeneities well characterized by the so-called backbone, a magnetic structure that arises as a consequence of the properties of the ground state and the low-excitation levels of such a frustrated Ising system. Using extensive Monte Carlo simulations and finite size scaling, we study how these heterogeneities affect the phase transition of the model. Although, we do not detect any significant difference between the critical behavior displayed by the whole system and that observed inside and outside the backbone, surprisingly, a selective bond dilution of the complement of this magnetic structure induces a change of the universality class, whereas no change is noted when the backbone is fully diluted. This finding suggests that the region surrounding the backbone plays a more relevant role in determining the physical properties of the Edwards-Anderson spin-glass model than previously thought. Furthermore, we show that when a selective bond dilution changes the universality class of the phase transition, the ground state of the model does not undergo any change. The opposite case is also valid, i. e., a dilution that does not change the critical behavior significantly affects the fundamental level.

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