Topological invariants for phase transition points of one-dimensional Z2 topological systems

Linhu Li (), Chao Yang and Shu Chen
Additional contact information
Linhu Li: Beijing Computational Science Research Center
Chao Yang: Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences
Shu Chen: Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences

The European Physical Journal B: Condensed Matter and Complex Systems, 2016, vol. 89, issue 9, 1-6

Abstract: Abstract We study topological properties of phase transition points of two topologically non-trivial Z 2 classes (D and DIII) in one dimension by assigning a Berry phase defined on closed circles around the gap closing points in the parameter space of momentum and a transition driving parameter. While the topological property of the Z 2 system is generally characterized by a Z 2 topological invariant, we identify that it has a correspondence to the quantized Berry phase protected by the particle-hole symmetry, and then give a proper definition of Berry phase to the phase transition point. By applying our scheme to some specific models of class D and DIII, we demonstrate that the topological phase transition can be well characterized by the Berry phase of the transition point, which reflects the change of Berry phases of topologically different phases across the phase transition point.

Keywords: Solid; State; and; Materials (search for similar items in EconPapers)
Date: 2016
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1140/epjb/e2016-70325-x Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:eurphb:v:89:y:2016:i:9:d:10.1140_epjb_e2016-70325-x

Ordering information: This journal article can be ordered from
http://www.springer.com/economics/journal/10051

DOI: 10.1140/epjb/e2016-70325-x

Access Statistics for this article

The European Physical Journal B: Condensed Matter and Complex Systems is currently edited by P. Hänggi and Angel Rubio

More articles in The European Physical Journal B: Condensed Matter and Complex Systems from Springer, EDP Sciences
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().