RT Dissertation/Thesis
T1 Nonlinear effects in low-dimensional systems: graphene membrane and electron transport in semiconductor superlattices
A1 Ruiz García, Miguel
AB This PhD dissertation deals with two different topics: Mechanics of graphenefrom a statistical mechanics approach, where internal interactions and effectsdue to temperature are considered. And electron dynamics and chaos insemiconductor 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 dobelieve that with the rise of nanotechnology and the ever-increasing interdisciplinaryof science, studies where different topics are approached anddiscussed are highly desirable.Nanotechnology already rules our life. However, it is still surprising howmuch progress has been achieved without a fully understanding of the physicsgoverning these structures. In particular, out-of-equilibrium behavior andnon-linear responses are present in every nanostructure, but, sometimes, itis possible to avoid their effects at large time scales or small interactions.However, the increasing demand of better and/or new performances makesthem sometimes unavoidable, or even, desirable.Micro-metric samples of graphene or semiconductor superlattices cannotbe studied taking into account every microscopic interaction, which makes itnecessary to use mesoscopic models with a certain range of validity. Throughoutthis work, we have tried to improve our understanding of the topics statedabove, using mesoscopic physical models and techniques from statistical mechanicsand dynamical systems. We hope that the obtained results will helpthe scientific community to gain insight into these fascinating topics and willmotivate new research in this direction.
YR 2017
FD 2017-09
LK https://hdl.handle.net/10016/25765
UL https://hdl.handle.net/10016/25765
LA eng
NO Mención Internacional en el título de doctor
NO Spanish Ministerio de Economía y Competitividad (MINECO) Grant No. MTM2014-56948-C2-2-P and FIS2011-28838-C02-01 and Comunidad de Madrid Grant No. P2009/ENE-1597(HYSYCOMB)
DS e-Archivo
RD 26 may. 2024