Scattering approach to timedependent charge and energy transport in mesoscopic conductors
(2013) Abstract (Swedish)
 Popular Abstract in English
Technological devices in our society are used on a daily basis. The speed in processing jobs and the memory capacity
are two key parameters used to set their prices.
The information is encoded with a binary system physically implemented on semiconductor circuits,
where the bit 1 corresponds to a finite voltage and the bit
0 to zero voltage. In order to increase the speed and the memory of an electronic device, its compounds need to become smaller.
The miniaturisation of electronic devices is a well known trend in engineering since the '70s.
In last decades great research efforts have been devoted to propose, study and experimentally realise... (More)  Popular Abstract in English
Technological devices in our society are used on a daily basis. The speed in processing jobs and the memory capacity
are two key parameters used to set their prices.
The information is encoded with a binary system physically implemented on semiconductor circuits,
where the bit 1 corresponds to a finite voltage and the bit
0 to zero voltage. In order to increase the speed and the memory of an electronic device, its compounds need to become smaller.
The miniaturisation of electronic devices is a well known trend in engineering since the '70s.
In last decades great research efforts have been devoted to propose, study and experimentally realise nanoscale and mesoscopic solidstate systems
which, in principle, could be integrated with more conventional technology. A nanoscale object for example is a a chain of ten atoms. One nanometer is the billionth part of a meter.
Mesoscopic scale devices are constituted by large number of atoms, but, as the nanoscale ones, they are not ruled by classical physics law.
At this scale interesting effects due to quantum mechanics, i.e. the dual nature of the electrons, arise
opening a new world of possibilities for new kinds of technology.
When speaking about the dual nature of electrons flowing (current) we refer
to the fact that we can think about them as travelling particles or as propagating waves.
The choice of the picture depends on the physical problem we deal with. In mesoscopic physics most often he best
is to consider both models. When looking at the electron as a particle we can better understand the consequences of charge
quantization. The charge of an object, in fact, is given by an integer number of charge units, e, which is the charge of one electron.
When thinking about the electron as waves we can better understand the scattering properties of them. A wave against a
dam can be reflected back or overcome it or split into two parts, one reflected back and one transmitted above the barrier.
A travelling electron behaves in a similar way when scattering against an obstacle. It will b transmitted with probability T
and reflected with probability R. If the obstacle is the complicated structure of a device the incoming electron can be transmitted with different probabilities to different spots of the structure.
The development of electronic device thus depends, first, on our capability to understand, describe and predict these effects,
and second, to design
and realise prototypes to control in time and space the transport of charge and its fluctuations in a useful manner.
Electrons are however not only charge carriers but they transport energy as well. Thus,
the study of energy transport properties in mesoscopic system therefore comes as a natural consequence of the efforts to
design mesoscopic electron transport for device applications. (Less)  Abstract
 This thesis aims to contribute to the field of time controlled charge and energy transport in mesoscopic systems.
In Chapter 1, Chapter 2 and Chapter 3 a short review of the scattering matrix theory is presented,
including both charge and energy transport,
useful to understand the mathematical landscape used in Papers I, II, III and IV. Chapter 3 briefly presents
the thermoelectric properties of mesoscopic conductors, investigated through the analysis of experimental data in Paper IV.
Scattering matrix theory is a powerful tool to study the current and the fluctuations of a stream of electrons.
It is in fact possible to fully characterise the distribution of charge and energy transfer... (More)  This thesis aims to contribute to the field of time controlled charge and energy transport in mesoscopic systems.
In Chapter 1, Chapter 2 and Chapter 3 a short review of the scattering matrix theory is presented,
including both charge and energy transport,
useful to understand the mathematical landscape used in Papers I, II, III and IV. Chapter 3 briefly presents
the thermoelectric properties of mesoscopic conductors, investigated through the analysis of experimental data in Paper IV.
Scattering matrix theory is a powerful tool to study the current and the fluctuations of a stream of electrons.
It is in fact possible to fully characterise the distribution of charge and energy transfer in terms of the scattering matrix.
In Chapter 4 the reader is provided with the basics of the full counting statistics used in Papers I and III.
In Chapter 5 mesoscopic transport in the quantum Hall regime is presented, being the background of
the works presented in Papers I, II and III.
Chapter 6 is a brief overview of the "history"
of electron pumping and of the state of the art of this interesting field. It provides the
motivations to our new single particle source proposed in Paper I and further analysed in Paper II. (Less)
Please use this url to cite or link to this publication:
http://lup.lub.lu.se/record/3290257
 author
 Battista, Francesca ^{LU}
 supervisor

 Peter Samuelsson ^{LU}
 opponent

 Professor Martin, Thierry, Université de la Méditérannée
 organization
 publishing date
 2013
 type
 Thesis
 publication status
 published
 subject
 keywords
 Fysicumarkivet A:2013:Battista
 publisher
 Department of Physics, Lund University
 defense location
 Rydberg Hall, Physics department, Lund
 defense date
 20130125 10:00
 language
 English
 LU publication?
 yes
 id
 705405e6a17042b5b0e59a4e3ca29844 (old id 3290257)
 date added to LUP
 20121219 14:21:08
 date last changed
 20181121 22:52:32
@phdthesis{705405e6a17042b5b0e59a4e3ca29844, abstract = {This thesis aims to contribute to the field of time controlled charge and energy transport in mesoscopic systems.<br/><br> In Chapter 1, Chapter 2 and Chapter 3 a short review of the scattering matrix theory is presented,<br/><br> including both charge and energy transport,<br/><br> useful to understand the mathematical landscape used in Papers I, II, III and IV. Chapter 3 briefly presents<br/><br> the thermoelectric properties of mesoscopic conductors, investigated through the analysis of experimental data in Paper IV.<br/><br> Scattering matrix theory is a powerful tool to study the current and the fluctuations of a stream of electrons. <br/><br> It is in fact possible to fully characterise the distribution of charge and energy transfer in terms of the scattering matrix.<br/><br> In Chapter 4 the reader is provided with the basics of the full counting statistics used in Papers I and III.<br/><br> In Chapter 5 mesoscopic transport in the quantum Hall regime is presented, being the background of <br/><br> the works presented in Papers I, II and III.<br/><br> Chapter 6 is a brief overview of the "history" <br/><br> of electron pumping and of the state of the art of this interesting field. It provides the <br/><br> motivations to our new single particle source proposed in Paper I and further analysed in Paper II.}, author = {Battista, Francesca}, keyword = {Fysicumarkivet A:2013:Battista}, language = {eng}, publisher = {Department of Physics, Lund University}, school = {Lund University}, title = {Scattering approach to timedependent charge and energy transport in mesoscopic conductors}, year = {2013}, }