Quantum phase transitions and order parameters of a topological insulator

Yan-Chao Li1,2*
1College of Materials Science and Opto-Electronic Technology, University of Chinese Academy of Sciences, Beijing, 100049, China
2Beijing Computational Science Research Center, Beijing 100193, China
Nano-Micro Conference, 2017, 1, 01064
Published Online: 30 October 2017 (Abstract)
DOI:10.11605/cp.nmc2017.01064
Corresponding Author. Email: This email address is being protected from spambots. You need JavaScript enabled to view it.

How to Cite

Citation Information: Yan-Chao Li, Quantum phase transitions and order parameters of a topological insulator. Nano-Micro Conference, 2017, 1, 01064 doi: 10.11605/cp.nmc2017.01064

History

Received: 15 May 2017, Accepted: 10 June 2017, Published Online: 30 October 2017

Abstract

Using quantum entanglement, quantum coherence, and the reduced density matrix, we study the quantum phase transitions and propose order parameters for the phases of a topological insulator, specifically a spinless Su-Schrieffer-Heeger (SSH) model, and consider the effect of short-range interactions. All the derived order parameters and their possible corresponding quantum phases are verified by the entanglement entropy and electronic configuration analysis results. The order parameter appropriate to the topological regions is further proved by calculating the Berry phase under twisted boundary conditions. It is found that the topological nontrivial phase is robust to the introduction of repulsive intersite interactions and can appear in the topological trivial parameter region when appropriate interactions are added.

Open Access

This article is licensed under a Creative Commons Attribution 4.0 International License. (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
© The Author(s) 2017

 

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