MESOSCOPIC SYSTEMS AND NANOSTRUCTURES

MESOSCOPIC SYSTEMS AND NANOSTRUCTURES

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iten
Code
66800
ACADEMIC YEAR
2019/2020
CREDITS
6 credits during the 1st year of 9012 PHYSICS (LM-17) GENOVA
SCIENTIFIC DISCIPLINARY SECTOR
FIS/03
LANGUAGE
Italian
TEACHING LOCATION
GENOVA (PHYSICS)
semester
2° Semester
Prerequisites
Teaching materials

OVERVIEW

This course will present an overview of transport properties in quantum systems and nanodevices.

AIMS AND CONTENT

LEARNING OUTCOMES

The principal task of the present course is to provide a clear background and a panorama on mesoscopic systems and quantum nanodevices.

AIMS AND LEARNING OUTCOMES

The principal task of he present course is to provide a clear and firm background and panorama on mesoscopic systems and quantum nanodevices. The students will learn characteristic quantum phenomena such as coherence, dissipation, interference and quantization considering theoretical and experimental  aspects.

Teaching methods

The course is at the blackboard with also the possibility to see slides especially connected to the possible experiments.

SYLLABUS/CONTENT

The first part of the course describes general aspects of the out of equilibrium phenomena in quantum systems and nanodevices.

In the second part several examples are presented which are directly connected to low dimensional systems. Particular emphasis will be put on the transport properties of nanodevices.

Below a more detailed  program.

- Linear response theory and Green functions. Time evolution of out of equilibrium density matrix. Applications: dieletric constant, conductivity, e instabilità di Peierls

- Scattering processes in solids, length scales in the mesoscopic regime, ballistic transport.

- Heterostructures, bidimensional gas.

- Quantum wires, quantum point contact: conductance quantization, two and four terminal measurements. Landauer Formula.

- Aharonov-Bohm effects. Introduction to paths integrals and phase of the wave function. Applications and experiments  to solid state systems.

- Berry's phase and its connection with the AB phase.

- Integer Quantum Hall effect: Landau level, disorder and edge states. Phenomenological description of fractional quantum Hall effect.

- Topological insulators and helical systems. SSH and Jackiw-Rebbi model for zero dimension and quantum spin hall system with BHZ model.

- Introduction to superconducting topological systems and majorana fermions.

- Quantum dots: theoretical decription, Coulomb blockade oscillations, tunneling rate and master equations, Coulom staircase.

 

RECOMMENDED READING/BIBLIOGRAPHY

Recommended books for the different parts of the course  * H. Bruus, K. Flensberg, "Many-body Quantum Theory in Condensed Matter Physics" Oxford University Press (2004). * G.F. Giuliani, G. Vignale. "Quantum theory of the electron liquid"". Cambridge University Press (2005). * Y.V. Nazarov, Y.M. Blanter. "Quantum Transport. Introduction to Nanoscience". Cambridge University Press (2009). * T. Ihn. "Semiconductor Nanostructures" Oxford University Press (2010). * J.H. Davies, "The Physics of low-dimensional semiconductors", Cambridge Press (1998).

TEACHERS AND EXAM BOARD

Exam Board

MAURA SASSETTI (President)

NICCOLO' TRAVERSO ZIANI

DARIO FERRARO

FABIO CAVALIERE

LESSONS

Teaching methods

The course is at the blackboard with also the possibility to see slides especially connected to the possible experiments.

EXAMS

Exam description

The exam consists in an oral part.

Assessment methods

The oral exam is done by the teacher responsible of the course and another expert in the field, usually a teacher of the staff. The duration of the oral exam is about 40 minutes.