CODE 66800 ACADEMIC YEAR 2021/2022 CREDITS 6 cfu anno 2 FISICA 9012 (LM-17) - GENOVA 6 cfu anno 1 FISICA 9012 (LM-17) - GENOVA SCIENTIFIC DISCIPLINARY SECTOR FIS/03 LANGUAGE Italian TEACHING LOCATION GENOVA SEMESTER 2° Semester PREREQUISITES Propedeuticità in ingresso Per sostenere l'esame di questo insegnamento è necessario aver sostenuto i seguenti esami: PHYSICS 9012 (coorte 2021/2022) MATTER PHYSICS 2 61844 2021 THEORETICAL PHYSICS 61842 2021 NUCLEAR AND PARTICLE PHYSICS AND ASTROPHYSICS 2 61847 2021 PHYSICS 9012 (coorte 2020/2021) MATTER PHYSICS 2 61844 2020 THEORETICAL PHYSICS 61842 2020 NUCLEAR AND PARTICLE PHYSICS AND ASTROPHYSICS 2 61847 2020 TEACHING MATERIALS AULAWEB 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, tunneling between two metals. - 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: helical systems in two dimensions, superconducting topological systems and majorana fermions. - Quantum dots: theoretical decription, Coulomb blockade oscillations, 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 MAURA SASSETTI DARIO FERRARO Ricevimento: By appointment (phone,email...) or after classes. Exam Board MAURA SASSETTI (President) DARIO FERRARO FABIO CAVALIERE (President Substitute) 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.
