Novel Topological Phase with a Zero Berry Curvature

Feng Liu,1* Katsunori Wakabayashi1,2
1Department of Nanotechnology for Sustainable Energy, School of Science and Technology, Kwansei Gakuin University, Gakuen 2-1, Sanda 669-1337, Japan
2National Institute for Materials Science (NIMS), Namiki 1-1, Tsukuba 305-0044, Japan
Nano-Micro Conference, 2017, 1, 01065
Published Online: 30 October 2017 (Abstract)
DOI:10.11605/cp.nmc2017.01065
Corresponding Author. Email: This email address is being protected from spambots. You need JavaScript enabled to view it.

How to Cite

Citation Information: Feng Liu, Katsunori Wakabayashi, Novel Topological Phase with a Zero Berry Curvature. Nano-Micro Conference, 2017, 1, 01065 doi: 10.11605/cp.nmc2017.01065

History

Received: 31 May 2017, Accepted: 12 June 2017, Published Online: 30 October 2017

Abstract

Recalling the scenario of Aharonov-Bohm effect that electrons experience a phase shift induced by a magnetic vector potential in spite of a zero-magnetic field, we have a similar story in topological version to tell here, where the magnetic field and the magnetic vector potential are replaced by their geometric counterparts, Berry curvature and Berry connection, respectively. Starting from a simple two-dimensional tight-binding model with two types of hopping, i.e. intercellular g and intracellular hopping g' based on square lattice, we show that nontrivial topological phase emerges when |g|<|g'| under a zero Berry curvature. Our work offers a new way to design topological materials without Berry curvatures [1].

References

[1] F. Liu; K. Wakabayashi, Novel Topological Phase with a Zero Berry Curvature. Physical Review Letters. 118, 076803 (2017). doi:10.1103/PhysRevLett.118.076803

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

[1] F. Liu; K. Wakabayashi, Novel Topological Phase with a Zero Berry Curvature. Physical Review Letters. 118, 076803 (2017). doi:10.1103/PhysRevLett.118.076803

 

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