Second-order topological corner states with ultracold atoms carrying orbital angular momentum in optical lattices

G. Pelegrí, A. M. Marques, V. Ahufinger, J. Mompart, and R. G. Dias
Phys. Rev. B 100, 205109 – Published 7 November 2019

Abstract

We propose a realization of a two-dimensional higher-order topological insulator with ultracold atoms loaded into orbital angular momentum (OAM) states of an optical lattice. The symmetries of the OAM states induce relative phases in the tunneling amplitudes that allow to describe the system in terms of two decoupled lattice models. Each of these models displays one-dimensional edge states and zero-dimensional corner states that are correlated with the topological properties of the bulk. We show that the topologically nontrivial regime can be explored in a wide range of experimentally feasible values of the parameters of the physical system. Furthermore, we propose an alternative way to characterize the second-order topological corner states based on the computation of the Zak's phases of the bands of first-order edge states.

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  • Received 29 July 2019
  • Revised 24 September 2019

DOI:https://doi.org/10.1103/PhysRevB.100.205109

©2019 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

G. Pelegrí1, A. M. Marques2, V. Ahufinger1, J. Mompart1, and R. G. Dias2

  • 1Departament de Física, Universitat Autònoma de Barcelona, E-08193 Bellaterra, Spain
  • 2Department of Physics and I3N, University of Aveiro, 3810-193 Aveiro, Portugal

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Issue

Vol. 100, Iss. 20 — 15 November 2019

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