Mesoscopic physics

Faculteit Science and Engineering
Jaar 2021/22
Vakcode WMPH037-05
Vaknaam Mesoscopic physics
Niveau(s) master
Voertaal Engels
Periode semester II b
ECTS 5
Rooster rooster.rug.nl

Uitgebreide vaknaam Mesoscopic physics
Leerdoelen At the end of the course, the student is able to:

1.
draw the energy levels and density of states for different dimensionalities (3D,2D,1D, and 0D) and calculate the energy dependent density of states for elementary quantum confined geometries

2.
describe the operation of single electron transistors, and the role of Coulomb blockade effects in these systems, and calculate the electrical characteristics for specific geometries

3.
describe the role of mesoscopic length and time scales, to distinguish diffusive from ballistic systems, and systems in which the electron transport has to described by classical or quantum mechanics, and describe the role of quantum interference (including Aharonov-Bohm and weak localization effects)

4.
describe and draw the corresponding diagrams for electron transport in the quantum Hall regime, including edge channel flow, and calculate the corresponding electron transport and resistance using the Landauer Buttiker formalism

5.
describe the phenomenon of conductance quantization in one-dimensional systems, and derive the expression for the energy dependent transport, including the role of scattering and finite temperature

6.
decribe the elementary electronic properties of graphene and graphene related 2D materials and describe the difference between them and conventional semiconductor materials

7.
describe the manifestation of mesoscopic superconductivity, including Josephson junctions, SQUIDS, and devices for macroscopic quantum phenomena, and make elementary calculations for these devices

8.
describe the operation of spintronics devices and related effects, such as giant magnetoresistance, tunneling magneto resistance, spin transfer torque and spin transport and manipulation and make elementary calulations of these effects.
Omschrijving This course deals with a number of electronic transport phenomena that occur in mesoscopic systems consisting of semiconductors, metals, superconductors, molecular systems or a combination of these. In these types of systems, with typical sizes of between 1 nanometer and 1 micrometer, the classical description of electronic transport in terms of diffusive transport by the Boltzmann equation is no longer satisfactory.

In the lectures a description will be presented in terms of transmission and scattering of electron waves (Landauer Buttiker formalism), which applies to a series of phenomena, like the quantum Hall effect and 1-dimensional conduction. As a consequence of the small electrical capacity, the Coulomb energy e2/C of a single electron becomes an important parameter. This has led to the field of 'single electronics' in which electronic circuits are studied and applied based on single electrons.
Attention will also be paid to:
- New electronic material classes, such as graphene and related 2D materials and topological insulator materials;
- Spintronics (giant magnetoresistance, tunneling magnetorestistance, spin transfer torque and spin transport and manipulation

The course will will present a survey of the materials, devices and techniques (like STM) that are relevant to mesoscopic physics.
Uren per week
Onderwijsvorm Hoorcollege (LC), Opdracht (ASM), Werkcollege (T)
(LC 32, T 8, ASM 30 self study 70 hrs)
Toetsvorm Opdracht (AST), Schriftelijk tentamen (WE)
(50% WE, 50% AST)
Vaksoort master
Coördinator prof. dr. ir. B.J. van Wees
Docent(en) prof. dr. T. Banerjee ,prof. dr. ir. B.J. van Wees
Verplichte literatuur
Titel Auteur ISBN Prijs

Handouts

Lecture notes (3 parts) Introduction, Part 1 and Part 2
Van Wees, Harmans, van der Zant
Entreevoorwaarden The course assumes prior knowledge on basic solid state physics (Solid state physics 1)
Opmerkingen The grade for the open book exam counts as 50%, the written case study also as 50%. Students will get a final grade only if the grade for the written exam is 5 or higher. The open book exam includes a detailed grading scheme. The grades for the written report are: general prsentation (20%), presentation of background material (30%), discussion of the paper (30%) and conclusions/questions (20%)

This course was registered last year with course code NAMP-08
Opgenomen in
Opleiding Jaar Periode Type
MSc Applied Physics  ( Verplichte vakken) - semester II b verplicht
MSc Chemistry: Erasmus Mundus Theoretical Chemistry and Computing Modelling  (Electives) - semester II b keuze
MSc Courses for Exchange Students: Astronomy - Physics - Energy & Environment - semester II b
MSc Nanoscience  (Optional Courses) - semester II b keuze
MSc Physics: Advanced Materials  ( Keuzevakken in Fundamentals of Materials Physics) - semester II b keuze: FMP