@article{WOS:000616412100006,
 abstract = {We study the effects of a periodically driven electric field applied to
a variety of tight-binding models in one dimension. We first consider a
noninteracting system with or without a staggered on-site potential, and
we find that periodic driving can generate states localized completely
or partially near the ends of a finite-sized system. Depending on the
system parameters, such states have Floquet eigenvalues lying either
outside or inside the continuum of eigenvalues of the bulk states. In
the former case, we find that these states are completely localized at
the ends and are true edge states, while in the latter case, the states
are not completely localized at the ends although the localization can
be made almost perfect by tuning the driving parameters. We then
consider a system of two bosonic particles which have an on-site Hubbard
interaction and show that a periodically driven electric field can
generate two-particle states which are localized at the ends of the
system. We show that many of these effects can be understood using a
Floquet perturbation theory which is valid in the limit of a large
staggered potential or large interaction strength. Some of these effects
can also be understood qualitatively by considering time-independent
Hamiltonians which have a potential at the sites at the edges;
Hamiltonians of these kinds effectively appear in a Floquet-Magnus
analysis of the driven problem. Finally, we discuss how the edge states
produced by periodic driving of a noninteracting system of fermions can
be detected by measuring the differential conductance of the system.},
 article-number = {085417},
 author = {Sur, Samudra and Sen, Diptiman},
 doi = {10.1103/PhysRevB.103.085417},
 eissn = {2469-9969},
 issn = {2469-9950},
 journal = {PHYSICAL REVIEW B},
 month = {FEB 9},
 number = {8},
 title = {Floquet engineering of edge states in the presence of staggered
potential and interactions},
 unique-id = {WOS:000616412100006},
 volume = {103},
 year = {2021}
}