1305.3791 (Y. X. Zhao et al.)

Searching for New Topological Types of Majorana Fermions from
Boundary-bulk Correspondence of Topological Insulators/Superconductors    [PDF]

Y. X. Zhao, Z. D. Wang

Majorana fermions (MFs) are particles that are their own anti-particles and may satisfy non-Abelian statistics. For the past ten years, a kind of MFs have been theoretically predicted in one-dimensional superconducting models without the time-reversal symmetry (TRS), which has recently intrigued a huge experimental interest to search for this type of exotic particles. Here we report our theoretical discoveries, including (i) a general and quantitative relation between topological stabilities of Fermi surfaces (FSs) and topological insulators(TIs)/superconductors(TSCs) is rigorously established; (ii) based on (i), we find four topologically distinct types of MFs in fermionic systems that have at least the particle-hole symmetry (PHS); (iii) apart from the existing one type, three new types of topologically nontrivial gapless edge-modes (MFs) are revealed for the first time in one dimensional finite systems with both T&P symmetries; and (iv) all kinds of candidate models that potentially have MFs are presented, opening a wider door for searching MFs experimentally.

View original: http://arxiv.org/abs/1305.3791