论文标题
在无序量子临界点处的紧急时空超对称
Emergent space-time supersymmetry at disorder quantum critical point
论文作者
论文摘要
我们研究了障碍对时空超对称性的影响，该对（2+1）d DIRAC半法和（3+1）d weyl semimitals的量子临界点出现。在（2+1）D Dirac半学中，我们考虑了三种类型的疾病，包括随机标量势，随机矢量电位和随机质量电位，而（3+1）D Weyl Semimetal中没有随机质量障碍。通过系统的重新归一化组分析，我们发现由于疾病潜力与Yukawa顶点之间的耦合，任何类型的弱随机疾病都是无关紧要的。因此，对于弱随机电势而出现的超对称性是稳定的。我们的工作将为现实的冷凝物质系统中的超对称性铺平道路。
We study the effect of disorder on the spacetime supersymmetry that is proposed to emerge at the quantum critical point of pair density wave transition in (2+1)D Dirac semimetals and (3+1)D Weyl semimetals. In the (2+1)D Dirac semimetal, we consider three types of disorder, including random scalar potential, random vector potential and random mass potential, while the random mass disorder is absent in the (3+1)D Weyl semimetal. Via a systematic renormalization group analysis, we find that any type of weak random disorder is irrelevant due to the couplings between the disorder potential and the Yukawa vertex. The emergent supersymmetry is thus stable for weak random potentials. Our work will pave the way for exploration supersymmetry in realistic condensed matter systems.
