论文标题
U（1）dirac旋转液体在二维非双向晶格上的稳定
Destabilization of U(1) Dirac spin-liquids on two dimensional non-bipartite lattices by quenched disorder
论文作者
论文摘要
长期以来，人们一直在争论二维晶格上狄拉克旋转液体的稳定性。最近被证明了[自然界。 10，4254（2019）和物理。 Rev. B 93，144411（2016）]，在非两部分三角形晶格上交错的$π$ -Flux Dirac旋转阶段可能在干净的极限下稳定。但是，淬火障碍在确定这种阶段是否在实验上可行时起着至关重要的作用。对于SU（2）自旋系统，有效的零温度，低能描述$（2+1）$尺寸的零型旋转液体由紧凑型量子电动力学（$ \ rm cqed_ {2+1} $）给出，其中允许单调。众所周知，通用淬火对$ \ rm Qed_ {2+1} $的非压缩版本的随机扰动（不存在单杆）导致强耦合不稳定性。在本文中，我们在存在一类时反转不变的猝灭障碍扰动的情况下研究$ \ rm cqed_ {2+1} $。我们表明，在此模型中，随机的非亚伯矢量电势使对称性允许的单极算子更加相关。因此，疾病引起的单孔的隔离，因此通常使无间隙的自旋液相脆弱。
The stability of the Dirac spin-liquid on two-dimensional lattices has long been debated. It was recently demonstrated [Nature Commun. 10, 4254 (2019) and Phys. Rev. B 93, 144411 (2016)] that the staggered $π$-flux Dirac spin-liquid phase on the non-bipartite triangular lattice may be stable in the clean limit. However, quenched disorder plays a crucial role in determining whether such a phase is experimentally viable. For SU(2) spin systems, the effective zero-temperature, low-energy description of Dirac spin-liquids in $(2+1)$ dimensions is given by the compact quantum electrodynamics ($\rm cQED_{2+1}$) which admits monopoles. It is already known that generic quenched random perturbations to the non-compact version of $\rm QED_{2+1}$ (where monopoles are absent) lead to strong-coupling instabilities. In this paper we study $\rm cQED_{2+1}$ in the presence of a class of time-reversal invariant quenched disorder perturbations. We show that in this model, random non-Abelian vector potentials make the symmetry-allowed monopole operators more relevant. The disorder-induced underscreening of monopoles, thus, generically makes the gapless spin-liquid phase fragile.
