Charge density wave and charge pump of interacting fermions in circularly shaken hexagonal optical lattices

Tao Qin, Alexander Schnell, Klaus Sengstock, Christof Weitenberg, André Eckardt, and Walter Hofstetter
Phys. Rev. A 98, 033601 – Published 6 September 2018
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Abstract

We analyze strong correlation effects and topological properties of interacting fermions with a Falicov-Kimball-type interaction in circularly shaken hexagonal optical lattices, which can be effectively described by the Haldane-Falicov-Kimball model, using the real-space Floquet dynamical mean-field theory (DMFT). The Haldane model, a paradigmatic model of the Chern insulator, is experimentally relevant, because it has been realized using circularly shaken hexagonal optical lattices. We show that in the presence of staggering a charge density wave emerges, which is affected by interactions and resonant tunneling. We demonstrate that interactions smear out the edge states by introducing a finite life time of quasiparticles. Even though a general method for calculating the topological invariant of a nonequilibrium steady state is lacking, we extract the topological invariant using a Laughlin charge pump setup. We find and attribute to the dissipations into the bath connected to every lattice site, which is intrinsic to real-space Floquet DMFT methods, that the pumped charge is not an integer even for the noninteracting case at very low reservoir temperatures. Furthermore, using the rate equation based on the Floquet-Born-Markov approximation, we calculate the charge pump from the rate equations for the noninteracting case to identify the role of the spectral properties of the bath. Starting from this approach we propose an experimental protocol for measuring quantized charge pumping.

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  • Received 20 April 2018

DOI:https://doi.org/10.1103/PhysRevA.98.033601

©2018 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied PhysicsAtomic, Molecular & Optical

Authors & Affiliations

Tao Qin1, Alexander Schnell2, Klaus Sengstock3,4,5, Christof Weitenberg3,4, André Eckardt2, and Walter Hofstetter1

  • 1Institut für Theoretische Physik, Goethe-Universität, D-60438 Frankfurt/Main, Germany
  • 2Max-Planck-Institut für Physik komplexer Systeme, Nöthnitzer Straße 38, D-01187 Dresden, Germany
  • 3Institut für Laserphysik (ILP), Universität Hamburg, Luruper Chaussee 149, D-22761 Hamburg, Germany
  • 4Hamburg Centre for Ultrafast Imaging, Luruper Chaussee 149, D-22761 Hamburg, Germany
  • 5Zentrum für Optische Quantentechnologien (ZOQ), Universität Hamburg, Luruper Chaussee 149, D-22761 Hamburg, Germany

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Issue

Vol. 98, Iss. 3 — September 2018

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