Volume 112, Number 1, October 2015
|Number of page(s)||5|
|Published online||19 October 2015|
Winding numbers of phase transition points for one-dimensional topological systems
1 Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences Beijing 100190, China
2 Beijing Computational Science Research Center - Beijing, 100089, China
3 Collaborative Innovation Center of Quantum Matter - Beijing, China
Received: 7 August 2015
Accepted: 29 September 2015
We study topological properties of phase transition points of one-dimensional topological quantum phase transitions by assigning winding numbers defined on closed circles around the gap closing points in the parameter space of momentum and a transition driving parameter, which overcomes the problem of ill definition of winding numbers on the transition points. By applying our scheme to the extended Kitaev model and to the extended Su-Schrieffer-Heeger model, we demonstrate that the topological phase transition can be well characterized by winding numbers of transition points, which reflect the change of the winding number of topologically different phases across the phase transition points.
PACS: 03.65.Vf – Phases: geometric; dynamic or topological / 64.60.-i – General studies of phase transitions / 05.70.Fh – Phase transitions: general studies
© EPLA, 2015
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