Topological Rice-Mele model in an emergent lattice: Exact diagonalization approach

Krzysztof Biedroń, Omjyoti Dutta, and Jakub Zakrzewski
Phys. Rev. A 93, 033631 – Published 16 March 2016

Abstract

Using exact diagonalization methods we study possible phases in a one-dimensional model of two differently populated fermionic species in a periodically driven optical lattice. The shaking amplitude and frequency are chosen to resonantly drive sp transition while minimizing the standard intraband tunnelings. We verify numerically the presence of an emergent density wave configuration of composites for appropriate filling fraction and minimized intraband tunnelings. The majority fermions moving in such a lattice mimic the celebrated Rice-Mele model. Far away from that region, the structure changes to a clustered phase, with the intermediate phase abundantly populated by defects of the density wave. These defects lead to localized modes carrying fractional particle charge. The results obtained are compared with earlier approximate predictions.

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  • Received 30 September 2015

DOI:https://doi.org/10.1103/PhysRevA.93.033631

©2016 American Physical Society

Physics Subject Headings (PhySH)

Atomic, Molecular & Optical

Authors & Affiliations

Krzysztof Biedroń1, Omjyoti Dutta1, and Jakub Zakrzewski1,2

  • 1Instytut Fizyki imienia Mariana Smoluchowskiego, Uniwersytet Jagielloński, Łojasiewicza 11, 30-048 Kraków, Poland
  • 2Mark Kac Complex Systems Research Center, Jagiellonian University, Łojasiewicza 11, 30-348 Kraków, Poland

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Vol. 93, Iss. 3 — March 2016

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