Two-dimensional periodically driven topological insulators have been shown to exhibit numerous topological phases, including ones which have no static analog, such as anomalous Floquet topological phases. We study a two-dimensional model of spinless fermions on a honeycomb lattice with periodic driving. We show that this model exhibits a rich mixture of weak and strong topological phases, which we identify by computing their scattering matrix invariants. Furthermore, we do an in-depth analysis of these topological phases in the presence of spatial disorder and show the relative robustness of these phases against imperfections. Making use of this robustness against spatial disorder, we propose a filter which allows the passage of only edge states, and which can be realized using existing experimental techniques.
Description
Phys. Rev. B 105, 054205 (2022) - Quantum phase transitions and a disorder-based filter in a Floquet system
%0 Journal Article
%1 PhysRevB.105.054205
%A Bhargava, Balaganchi A.
%A Das, Sanjib Kumar
%A Fulga, Ion Cosma
%D 2022
%I American Physical Society
%J Phys. Rev. B
%K a
%N 5
%P 054205
%R 10.1103/PhysRevB.105.054205
%T Quantum phase transitions and a disorder-based filter in a Floquet system
%U https://link.aps.org/doi/10.1103/PhysRevB.105.054205
%V 105
%X Two-dimensional periodically driven topological insulators have been shown to exhibit numerous topological phases, including ones which have no static analog, such as anomalous Floquet topological phases. We study a two-dimensional model of spinless fermions on a honeycomb lattice with periodic driving. We show that this model exhibits a rich mixture of weak and strong topological phases, which we identify by computing their scattering matrix invariants. Furthermore, we do an in-depth analysis of these topological phases in the presence of spatial disorder and show the relative robustness of these phases against imperfections. Making use of this robustness against spatial disorder, we propose a filter which allows the passage of only edge states, and which can be realized using existing experimental techniques.
@article{PhysRevB.105.054205,
abstract = {Two-dimensional periodically driven topological insulators have been shown to exhibit numerous topological phases, including ones which have no static analog, such as anomalous Floquet topological phases. We study a two-dimensional model of spinless fermions on a honeycomb lattice with periodic driving. We show that this model exhibits a rich mixture of weak and strong topological phases, which we identify by computing their scattering matrix invariants. Furthermore, we do an in-depth analysis of these topological phases in the presence of spatial disorder and show the relative robustness of these phases against imperfections. Making use of this robustness against spatial disorder, we propose a filter which allows the passage of only edge states, and which can be realized using existing experimental techniques.},
added-at = {2022-10-19T22:09:40.000+0200},
author = {Bhargava, Balaganchi A. and Das, Sanjib Kumar and Fulga, Ion Cosma},
biburl = {https://www.bibsonomy.org/bibtex/275896a90fffd618ae780a7487daeffb9/ctqmat},
day = 18,
description = {Phys. Rev. B 105, 054205 (2022) - Quantum phase transitions and a disorder-based filter in a Floquet system},
doi = {10.1103/PhysRevB.105.054205},
interhash = {38ff859d33570ec92d72bf1214fbb3dd},
intrahash = {75896a90fffd618ae780a7487daeffb9},
journal = {Phys. Rev. B},
keywords = {a},
month = {02},
number = 5,
numpages = {11},
pages = 054205,
publisher = {American Physical Society},
timestamp = {2023-01-16T14:49:29.000+0100},
title = {Quantum phase transitions and a disorder-based filter in a Floquet system},
url = {https://link.aps.org/doi/10.1103/PhysRevB.105.054205},
volume = 105,
year = 2022
}