Achieving quantized transport in Floquet topological insulators via energy filters
arxiv(2024)
摘要
Due to photon-assisted transport processes, chiral edge modes induced by
periodic driving do not directly mediate quantized transport. Here we show how
narrow bandwidth "energy filters" can restore quantization by suppressing
photon assisted transport through Floquet sidebands. We derive a Floquet
Landauer type equation to describe transport through such an energy-filtered
setup, and show how the filter can be integrated out to yield a sharply
energy-dependent renormalized system-lead coupling. We show analytically and
through numerical simulations that a nearly quantized conductance can be
achieved in both off-resonantly and resonantly induced quasienergy gaps when
filters are introduced. The conductance approaches the appropriate quantized
value on each plateau with increasing system and filter size. We introduce a
"Floquet distribution function" and show both analytically and numerically that
it approaches the equilibrium Fermi-Dirac form when narrow-band filters are
introduced, highlighting the mechanism that restores quantized transport.
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