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首页> 外文期刊>Physical review >Berry phases, current lattices, and suppression of phase transitions in a lattice gauge theory of quantum antiferromagnets
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Berry phases, current lattices, and suppression of phase transitions in a lattice gauge theory of quantum antiferromagnets

机译：量子反铁磁体的晶格规理论中的浆果相，电流晶格和相变抑制

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摘要

We consider a lattice model of two complex scalar matter fields z_a, a ＝ 1,2, under a CP~1 constraint ∣z_1∣~2 + ∣z_2∣~2 ＝ 1. minimally coupled to a compact gauge field, with an additional Berry-phase term. This model has been the origin of a large body of works addressing novel paradigms for quantum criticality, in particular "spin-quark" (spinon) deconfinement in S ＝ 1/2 quantum antiferromagnets. We map the model exactly onto a link-current model, which permits the use of classical worm algorithms to study the model in large-scale Monte Carlo simulations on lattices of size L~3, up to L ＝ 512. We show that the addition of a Berry-phase term to the lattice CP~1 model completely suppresses the phase transition in the O(3) universality class of the CP~1 model, such that the original spin system described by the compact gauge theory is always in the ordered phase. The link-current formulation of the model is useful in identifying the mechanism by which the phase transition from an ordered to a disordered state is suppressed.
机译：我们考虑在CP〜1约束∣z_1∣〜2 + ∣z_2∣〜2 = 1的条件下，两个复标量物质场z_a，a ＝ 1,2的晶格模型。浆果阶段术语。该模型是大量研究量子临界新范式的作品的起源，特别是在S ＝ 1/2量子反铁磁体中的“自旋夸克”（自旋子）去约束。我们将模型精确地映射到链接电流模型上，该模型允许使用经典蠕虫算法在大小为L〜3（最大为L ＝ 512）的格子上进行大规模蒙特卡洛模拟研究。 Berry相项对晶格CP〜1模型的完全抑制在CP〜1模型的O（3）通用性类中的相变，因此，由紧凑规范理论描述的原始自旋系统始终处于有序状态相。模型的链接电流公式可用于确定抑制从有序状态到无序状态的相变的机制。

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