Interaction-induced topological properties of two bosons in flat-band
systems
- URL: http://arxiv.org/abs/2005.10810v3
- Date: Wed, 19 Aug 2020 12:31:51 GMT
- Title: Interaction-induced topological properties of two bosons in flat-band
systems
- Authors: G. Pelegr\'i, A. M. Marques, V. Ahufinger, J. Mompart, R. G. Dias
- Abstract summary: We show how interaction-induced hopping can be tuned to obtain a variety of two-body topological states.
In particular, we consider two interacting bosons loaded into the orbital angular momentum $l=1$ states of a diamond-chain lattice.
We identify a set of doubly localized two-boson flat-band states that give rise to a special instance of Aharonov-Bohm cages for arbitrary interactions.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: In flat-band systems, destructive interference leads to the localization of
non-interacting particles and forbids their motion through the lattice.
However, in the presence of interactions the overlap between neighbouring
single-particle localized eigenstates may enable the propagation of bound pairs
of particles. In this work, we show how these interaction-induced hoppings can
be tuned to obtain a variety of two-body topological states. In particular, we
consider two interacting bosons loaded into the orbital angular momentum $l=1$
states of a diamond-chain lattice, wherein an effective $\pi$ flux may yield a
completely flat single-particle energy landscape. In the weakly-interacting
limit, we derive effective single-particle models for the two-boson
quasiparticles which provide an intuitive picture of how the topological states
arise. By means of exact diagonalization calculations, we benchmark these
states and we show that they are also present for strong interactions and away
from the strict flat-band limit. Furthermore, we identify a set of doubly
localized two-boson flat-band states that give rise to a special instance of
Aharonov-Bohm cages for arbitrary interactions.
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