Topological phases of fermionic ladders with periodic magnetic fields

Gaoyong Sun
Phys. Rev. A 93, 023608 – Published 4 February 2016

Abstract

In recent experiments bosonic [Atala et al., Nat. Phys. 10, 588 (2014); Stuhl et al., Science 349, 1514 (2015)] as well as fermionic ladders [Mancini et al. Science  349, 1510 (2015)] with a uniform flux were studied and different interesting many-body states were observed. Motivated by these experiments, we extend the uniform synthetic magnetic field to a periodic case and show that a commensurate synthetic magnetic field offers an alternative scheme to realize topological phases in many-body systems of ultracold Fermi gases in ladderlike optical lattices. Using the exact diagonalization, we numerically determine the topological band structure, edge states, nonzero Chern numbers, Hofstadter-butterfly-like spectrum, and a complete phase diagram of noninteracting fermionic ladders.

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  • Received 15 December 2015

DOI:https://doi.org/10.1103/PhysRevA.93.023608

©2016 American Physical Society

Physics Subject Headings (PhySH)

Atomic, Molecular & Optical

Authors & Affiliations

Gaoyong Sun

  • Max-Planck-Institut für Physik komplexer Systeme, Nöthnitzer Straße 38, 01187 Dresden, Germany

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Issue

Vol. 93, Iss. 2 — February 2016

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