二维非二分晶格上U（1）Dirac自旋液体的淬火无序失稳
Destabilization of U(1) Dirac spin-liquids on two dimensional non-bipartite lattices by quenched disorder
摘要：
二维晶格中狄拉克自旋液体的稳定性一直是人们争论的焦点。它最近被证明[自然通讯。10，4254（2019）和Phys.Rev.B93，144411（2016）]，非二分三角晶格上的交错$π$通量狄拉克自旋液相在干净极限中可能是稳定的。然而，淬火无序在确定这样的相是否在实验上可行方面起着至关重要的作用。对于SU（2）自旋系统，在$(2+1)$维下，用包含单极子的紧致量子电动力学（$\rm cQED_{2+1}$）给出了Dirac自旋液体的有效零温低能描述.我们已经知道，对$\rm QED_{2+1}$的非紧致形式（其中没有单极子）的一般猝灭随机扰动会导致强耦合不稳定性。本文研究了一类时反不变淬火无序扰动下的$\rm cQED_{2+1}$。我们表明，在这个模型中，随机的非阿贝尔向量势，使允许的非阿贝尔算子更相关。因此，无序引起的单极子屏蔽不足通常会使无隙自旋液相变得脆弱。
英文摘要：
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.
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