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arXiv 1005.4672cond-mat.otherhep-ph
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拓扑超流$^3$ He-B:界面上和涡核中的费米子零模

Topological superfluid $^3$He-B: fermion zero modes on interfaces and in the vortex core

M. A. Silaev, G. E. Volovik

摘要:

许多量子凝聚态系统是强关联、强相互作用的费米子系统,不能用微扰论来处理。然而,拓扑结构使我们能够确定它们的费米子谱的一般特征,这些特征对扰动和相互作用是鲁棒的。我们讨论了无节点的三维系统,如超流$^3$ He-B,Dirac费米子真空,以及夸克物质中可能出现的相对论性单重态和三重态超夸克。这些系统的拓扑不变量值为非零,在量子化涡旋的边界和核中存在无带隙的费米子。本文讨论了在动量和坐标空间中,将涡旋上的费米子零模与拓扑不变量联系起来的指数定理。

英文摘要:

Many quantum condensed matter systems are strongly correlated and strongly interacting fermionic systems, which cannot be treated perturbatively. However, topology allows us to determine generic features of their fermionic spectrum, which are robust to perturbation and interaction. We discuss the nodeless 3D system, such as superfluid $^3$He-B, vacuum of Dirac fermions, and relativistic singlet and triplet supercondutors which may arise in quark matter. The systems, which have nonzero value of topological invariant, have gapless fermions on the boundary and in the core of quantized vortices. We discuss the index theorem which relates fermion zero modes on vortices with the topological invariants in combined momentum and coordinate space.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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