journal article·2022-10-03

Topologically protected edge states in triangular lattices

Robert J. Davis, Yun Zhou, Dia'aaldin J. Bisharat, Prabhakar R. Bandaru, Daniel F. Sievenpiper

Physical Review B· Volume 106· Issue 16
Publisher page

Abstract

We describe the possibility for topologically robust edge states existing on interfaces of triangular lattices which are supported by rotational symmetries that are sensitive to boundary conditions. Such states are trivial from the perspective of Berry curvature, but result instead from an interplay between crystalline symmetries and finite boundary effects. We show such states comprise a distinct topological phase, provided the gauge-dependent symmetries are maintained. Such a model describes a number of recent bosonic experimental demonstrations on triangular lattices, the physics for which has thus far eluded explanation.
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Research context

OpenAlex topics: Topological Materials and Phenomena · Cold Atom Physics and Bose-Einstein Condensates · Quantum many-body systems

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

Electrical and Computer Engineering Department, University of California, San Diego, La Jolla, California 92093, USA

Mechanical and Aerospace Engineering, University of California, San Diego, La Jolla, California 92093, USA

Advanced Science Research Center, The City University of New York, New York, New York 10031, USA

Funding

Air Force Office of Scientific Research

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