论文标题

在平方晶格上自旋1/2抗铁磁体中断裂对称阶段的多临界点和统一描述

Multi-critical point and unified description of broken-symmetry phases in spin-1/2 anti-ferromagnets on a square lattice

论文作者

Türker, Oğuz, Yang, Kun

论文摘要

我们表明,在带有易于平面各向异性的正方形晶格上的自旋1/2抗铁磁铁中的几个不同的破碎对称阶段,包括价键,手性旋转液体和XY排序状态,都可以通过与两个无质量的direct fimplemions coupled coupled coupled coupled couplen conens-sim-sim-sim-simsimsimsimsimsimsimsim condersiments consim consimsimsimsimsimsim counconsim consim councon。这允许对这些阶段以及它们之间的相变的统一描述。在特定的阶段过渡中,我们的分析提供了最近提出的Fermion-Boson二元性之一的晶格实现,从而对其进行了支持。我们还简要讨论了我们的工作与此类系统中长期以来的脱节批判性之间的关系。

We show that several distinct broken-symmetry phases in a spin-1/2 anti-ferromagnet on a square lattice with easy-plane anisotropy, including valence bond solid, chiral spin liquid, and the XY-ordered state, can all be accessed by perturbing a multi-critical point with two massless Dirac fermions coupled to a level-one Chern-Simons gauge field. This allows for a unified description of these phases, as well as the phase transitions between them. In a specific phase transition our analysis provide a lattice realization of one of the recently proposed fermion-boson duality, thus lending support to it. We also briefly discuss the relation between our work and the long-sought de-confined criticality in such systems.

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