Transition between anomalous and Anderson localization in systems with
non-diagonal disorder driven by time-periodic fields
- URL: http://arxiv.org/abs/2003.06372v1
- Date: Fri, 13 Mar 2020 16:33:20 GMT
- Title: Transition between anomalous and Anderson localization in systems with
non-diagonal disorder driven by time-periodic fields
- Authors: Rafael A. Molina and Victor A. Gopar
- Abstract summary: electrons are less localized in space than the standard exponential Anderson localization.
We study the effect of a time-periodic external field in the scaling and distribution of the conductance of a quantum wire.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: In models of hopping disorder in the absence of external fields and at the
band center, the electrons are less localized in space than the standard
exponential Anderson localization. A signature of this anomalous localization
is the square root dependence of the logarithmic average of the conductance on
the system length, in contrast to the linear length dependence for Anderson
localized systems. We study the effect of a time-periodic external field in the
scaling and distribution of the conductance of a quantum wire with hopping
disorder. In the low-frequency regime, we show a transition between anomalous
localization and Anderson localization as a function of the parameters of the
external field. The Floquet modes mix different energy contributions and
standard length dependence of the logarithmic average of the conductance is
gradually recovered as we lower the frequency or increase the amplitude of the
external field. In the high-frequency regime, the system presents still
anomalous localization but the conductance is also renormalized, depending on
the parameters of the external field, by interference effects at the coupling
to the leads. This allows for a high degree of control of the average of the
conductance.
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