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CODE 66800
ACADEMIC YEAR 2017/2018
CREDITS
SCIENTIFIC DISCIPLINARY SECTOR FIS/03
LANGUAGE Italian
TEACHING LOCATION
SEMESTER 2° Semester
PREREQUISITES
Propedeuticità in ingresso
Per sostenere l'esame di questo insegnamento è necessario aver sostenuto i seguenti esami:
  • PHYSICS 9012 (coorte 2016/2017)
  • MATTER PHYSICS 2 61844 2016
  • THEORETICAL PHYSICS 61842 2016
  • MATHEMATICAL METHODS IN PHYSICS 61843 2016
  • NUCLEAR AND PARTICLE PHYSICS AND ASTROPHYSICS 2 61847 2016
  • PHYSICS 9012 (coorte 2017/2018)
  • MATTER PHYSICS 2 61844 2017
  • THEORETICAL PHYSICS 61842 2017
  • MATHEMATICAL METHODS IN PHYSICS 61843 2017
  • NUCLEAR AND PARTICLE PHYSICS AND ASTROPHYSICS 2 61847 2017

OVERVIEW

The  course provides a theoretical basis necessary in order to understand electronic  transport properties in quantum nanodevices.

 

AIMS AND CONTENT

LEARNING OUTCOMES

The principal task of the present course is to provides a clear and firm background and 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. 

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

- Heterostructures, bidimensional gas. Topological insulators.

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

- Aharonov-Bohm effects on matal rings. Carbon nanotubes: transport properties.

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

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

- Topolocial insultors and helical systems.

 

 

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

LESSONS

Class schedule

The timetable for this course is available here: Portale EasyAcademy

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.