Titas Chanda, Daniel González-Cuadra, Maciej Lewenstein, Luca Tagliacozzo, Jakub Zakrzewski
SciPost Phys. 12, 076 (2022) ·
published 25 February 2022
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We consider a mixture of ultracold bosonic atoms on a one-dimensional lattice
described by the XXZ-Bose-Hubbard model, where the tunneling of one species
depends on the spin state of a second deeply trapped species. We show how the
inclusion of antiferromagnetic interactions among the spin degrees of freedom
generates a Devil's staircase of symmetry-protected topological phases for a
wide parameter regime via a bosonic analog of the Peierls mechanism in
electron-phonon systems. These topological Peierls insulators are examples of
symmetry-breaking topological phases, where long-range order due to spontaneous
symmetry breaking coexists with topological properties such as fractionalized
edge states. Moreover, we identify a region of supersolid phases that do not
require long-range interactions. They appear instead due to a Peierls
incommensurability mechanism, where competing orders modify the underlying
crystalline structure of Peierls insulators, becoming superfluid. Our work show
the possibilities that ultracold atomic systems offer to investigate
strongly-correlated topological phenomena beyond those found in natural
materials.
Dr Chanda: "We would like to thank the Ref..."
in Submissions | report on Devil's staircases of topological Peierls insulators and Peierls supersolids