论文标题
双层蜂窝晶格模型中对称质量产生的变异蒙特卡洛研究
Variational Monte Carlo Study of Symmetric Mass Generation in a Bilayer Honeycomb Lattice Model
论文作者
论文摘要
我们在半填充两层的Heisenberg耦合时，在半填充时，研究了一个双层蜂窝状晶格模型。使用变异的蒙特卡洛（VMC）模拟，我们证明该系统从Dirac半含量相到对称间隙相的直接过渡，称为对称质量产生（SMG），因为海森贝格偶联强度增加了。该过渡不涉及自发对称性断裂或拓扑顺序，并已被提出为费米子解氨夹量子临界点（FDQCP）的一个例子。我们的仿真表明，由于变异波函数中的相关因子引入的量子波动，效率波顿双线性质量在过渡点打开，而所有对称性仍然保留。从仿真数据中，我们提取关键指数$ν= 0.96 \ pm0.03 $和fermion缩放尺寸$Δ_c= 1.31 \ pm0.04 $在SMG关键点，这与FDQCP的字段理论预测（2+1）in（2+1）d。这些发现支持以下假设：fermion在SMG临界点处分数化。
We investigate a bilayer honeycomb lattice model of spin-1/2 fermions at half-filling with local Heisenberg coupling of fermion spins across the two layers. Using variational Monte Carlo (VMC) simulation, we demonstrate that the system undergoes a direct transition from a Dirac semimetal phase to a symmetric gapped phase, known as symmetric mass generation (SMG), as the Heisenberg coupling strength is increased. The transition does not involve spontaneous symmetry breaking or topological order and has been proposed as an example of the fermionic deconfined quantum critical point (fDQCP). Our simulation shows that a fermionic parton bilinear mass opens at the transition point while all symmetries are still preserved thanks to the quantum fluctuations introduced by the correlation factor in the variational wave function. From the simulation data, we extract the critical exponent $ν=0.96\pm0.03$ and the fermion scaling dimension $Δ_c=1.31\pm0.04$ at the SMG critical point, which are consistent with the field theoretical prediction of fDQCP in (2+1)D. These findings support the hypothesis that the fermion fractionalizes at the SMG critical point.
