Publication: Nonlinear effects in low-dimensional systems: graphene membrane and electron transport in semiconductor superlattices
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2017-09
Defense date
2017-09-11
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Abstract
This PhD dissertation deals with two different topics: Mechanics of graphene
from a statistical mechanics approach, where internal interactions and effects
due to temperature are considered. And electron dynamics and chaos in
semiconductor superlattices, where we aim at enhancing the chaotic behavior,
with its applicability to random number generation in mind.
It is not our purpose to bridge these two different topics. But we do
believe that with the rise of nanotechnology and the ever-increasing interdisciplinary
of science, studies where different topics are approached and
discussed are highly desirable.
Nanotechnology already rules our life. However, it is still surprising how
much progress has been achieved without a fully understanding of the physics
governing these structures. In particular, out-of-equilibrium behavior and
non-linear responses are present in every nanostructure, but, sometimes, it
is possible to avoid their effects at large time scales or small interactions.
However, the increasing demand of better and/or new performances makes
them sometimes unavoidable, or even, desirable.
Micro-metric samples of graphene or semiconductor superlattices cannot
be studied taking into account every microscopic interaction, which makes it
necessary to use mesoscopic models with a certain range of validity. Throughout
this work, we have tried to improve our understanding of the topics stated
above, using mesoscopic physical models and techniques from statistical mechanics
and dynamical systems. We hope that the obtained results will help
the scientific community to gain insight into these fascinating topics and will
motivate new research in this direction.
Description
MenciĂłn Internacional en el tĂtulo de doctor
Keywords
FĂsica del estado sĂłlido, FĂsica estadĂstica, NanotecnologĂa, Semiconductores, PelĂculas delgadas, Graphene, Semiconductor superlattices, Nonlinear electron transport