Affordable Access

Access to the full text

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

Authors
  • Silaev, M. A.
  • Volovik, G. E.
Type
Published Article
Publication Date
Aug 31, 2010
Submission Date
May 25, 2010
Identifiers
DOI: 10.1007/s10909-010-0226-z
Source
arXiv
License
Yellow
External links

Abstract

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.

Report this publication

Statistics

Seen <100 times