Split Property and Fermionic String Order

Abstract

We show split property of gapped ground states for Fermion systems on a one-dimensional lattice and clarify mathematical meaning of string order of fermions.

23 pages, ref[5] and comments in the end of section1 added

References in corpus (1)

• Detecting Majorana fermions in quasi-one-dimensional topological phases using nonlocal order parameters

Cited by in corpus (5)

• The classification of symmetry protected topological phases of one-dimensional fermion systems
• The split and approximate split property in 2D systems: stability and absence of superselection sectors
• Rigorous Index Theory for One-Dimensional Interacting Topological Insulators
• An invariant of symmetry protected topological phases with on-site finite group symmetry for two-dimensional Fermion systems
• On Hastings factorization for quantum many-body systems in the infinite volume setting