Emergent Space-Time Supersymmetry at the Boundary of a Topological Phase
Emergent Space-Time Supersymmetry at the Boundary of a Topological Phase
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DOI：
10.1126/science.1248253
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发表时间：
2014-04-18
期刊：
影响因子：
56.9
通讯作者：
Vishwanath, Ashvin
中科院分区：
文献类型：
--
作者：
Grover, Tarun;Sheng, D. N.;Vishwanath, Ashvin
与普通对称相反，超对称（SUSY）交换玻色子和费米子。它最初被认为是宇宙的对称性，但仍有待实验验证。在这里，我们从理论上证明了超对称性在被称为拓扑超导体的凝聚态系统中自然出现。我们认为在二维和三维拓扑超导体边界处的量子相变在远距离和长时间探测时都显示出超对称性。实验结果包括在不同实验中测量的量之间的精确关系，在某些情况下，对普遍临界指数的精确了解。拓扑表面态本身可以解释为由自发破缺的超对称性产生，这表明拓扑相与超对称性之间存在着深刻的关系。
In contrast to ordinary symmetries, supersymmetry (SUSY) interchanges bosons and fermions. Originally proposed as a symmetry of our universe, it still awaits experimental verification. Here, we theoretically show that SUSY emerges naturally in condensed matter systems known as topological superconductors. We argue that the quantum phase transitions at the boundary of topological superconductors in both two and three dimensions display SUSY when probed at long distances and times. Experimental consequences include exact relations between quantities measured in disparate experiments and, in some cases, exact knowledge of the universal critical exponents. The topological surface states themselves may be interpreted as arising from spontaneously broken SUSY, indicating a deep relation between topological phases and SUSY.