Topological Invariant for Superfluid 3He-B and Quantum Phase Transitions
Topological Invariant for Superfluid 3He-B and Quantum Phase Transitions
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DOI：
10.1134/s0021364009200089
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发表时间：
2009-10-01
期刊：
影响因子：
1.3
通讯作者：
Volovik, G. E.
中科院分区：
文献类型：
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作者：
Volovik, G. E.
我们考虑了描述超流He-3-B真空态的拓扑不变量，它属于特殊的时间反演不变量拓扑绝缘体和超流。离散对称性重要的拓扑不同的真空状态的分类进行了讨论。其中之一导致了He-3-B态的额外子类，并负责生活在体态之间的某些界面处的Majorana费米子的有限态密度。用绿色函数来表示非线性拓扑不变量，使我们可以考虑具有相互作用的系统。
We consider topological invariant describing the vacuum states of superfluid He-3-B, which belongs to the special class of time-reversal invariant topological insulators and superfluids. Discrete symmetries important for classification of the topologically distinct vacuum states are discussed. One of them leads to the additional subclasses of He-3-B states and is responsible for the finite density of states of Majorana fermions living at some interfaces between the bulk states. Integer valued topological invariant is expressed in terms of the Green's function, which allows us to consider systems with interaction.