论文标题
使用Emprent So（5）对称性的费米和骨气临界点的仿真
Simulation of Fermionic and Bosonic Critical Points with Emergent SO(5) Symmetry
论文作者
论文摘要
我们在2+1个维度中引入了一个半金属，量子自旋式隔热（QSHI）和S波超导（SSC）相的模型。该相图具有多个智力点，所有三个阶段都符合以及QSHI-SSC解构临界点。 QSHI和SSC订单对应于狄拉克·哈密顿（Dirac Hamiltonian）的相互反对批量术语。基于此代数属性，（5）对称场理论已提出来描述两种类型的关键点。使用量子蒙特卡洛模拟，我们直接研究了在QSHI和SSC状态之间旋转的操作员。结果表明，它以临界时的低能有效哈密顿量的通勤时间，但有序阶段有差距。这意味着在多政治临界点和污染临界点上都出现了SO（5）对称性。
We introduce a model of Dirac fermions in 2+1 dimensions with a semimetallic, a quantum spin-Hall insulating (QSHI), and an s-wave superconducting (SSC) phase. The phase diagram features a multicritical point at which all three phases meet as well as a QSHI-SSC deconfined critical point. The QSHI and SSC orders correspond to mutually anti-commuting mass terms of the Dirac Hamiltonian. Based on this algebraic property, SO(5) symmetric field theories have been put forward to describe both types of critical points. Using quantum Monte Carlo simulations, we directly study the operator that rotates between QSHI and SSC states. The results suggest that it commutes with the low-energy effective Hamiltonian at criticality but has a gap in the ordered phases. This implies an emergent SO(5) symmetry at both the multicritical and the deconfined critical points.
