论文标题
超流体和超导体的拓扑量子关键性：表面临界，热性能和Lifshitz Majorana领域
Topological Quantum Criticality in Superfluids and Superconductors: Surface criticality, Thermal properties, and Lifshitz Majorana fields
论文作者
论文摘要
时间逆转不变（TRI）拓扑超流体（TSF）和拓扑超导体（TSC）是强大的对称性受保护的间隙拓扑状态。在本文中，我们研究了在时间逆转对称性破裂（TRB）和/或足够大的TRI场的情况下，这些拓扑状态的演变。从物理上讲，由于背景磁有序，TRB场的实现之一可以是内部自旋交换场。我们发现，完全间隙的TSF和TSC通常通过各种零温度量子临界点与其他节点状态分离，这些量子量临界点的特征是具有不同缩放特性的广义量子Lifshitz场。这些新兴的LIFSHITZ领域还定义了量子关键方案中的有限温度特性。此外，对于TRB场的一定子集，存在着散装过渡的前体，表面状态还可以在零字段附近表现出量子临界行为。还检查了完全间隙的TSF/TSC使得没有相转换的拓扑上的微不足道状态的可能性。
Time reversal invariant (TRI) topological superfluids (TSFs) and topological superconductors (TSCs) are robust symmetry protected gapped topological states. In this article, we study the evolution of these topological states in the presence of time reversal symmetry breaking (TRB) fields and/or sufficiently large TRI fields. Physically, one of the realizations of TRB fields can be internal spin exchange fields due to background magnetic ordering. We find that the fully gapped TSFs and TSCs are generically separated from other nodal states by various zero temperature quantum critical points that are characterized by generalized quantum Lifshitz fields with distinct scaling properties. These emergent Lifshitz fields also define finite temperature properties in quantum critical regimes. Moreover, for a certain subset of TRB fields, there exist a precursor to bulk transitions, where surface states can also exhibit quantum critical behavior near zero fields. The possibility for a fully gapped TSF/TSC to smoothly crossover into a topologically trivial state without a phase transition is also examined.
