When a particular quantity of a system under study becomes comparable or smaller than a relevant correlation length, the system shows vastly different properties than its macroscopic counterpart. For instance, when electronic mean free path becomes smaller than the Fermi wavelength in solids, the wave character of the electrons become important and starts governing the materials properties. Mesoscopic solid-state systems become growingly important in the last 30 years as the miniaturization of electronic components happen at an exponential rate. This course aims to introduce such systems where the quantities in solid state systems become smaller than the relevant correlation lengths particularly in nanoscale materials.
Introduction to Mesoscopic Solid-State Physics; What is Mesoscale; Electronic transport in solids; Transport in ballistic, diffusive and quantum transport; metal-insulator transition; Quantum Hall Effect; Quantum objects; Electronic Phase Coherence; Single Electron Tunneling; Superconductivity; Experimental methods; Cryogenics; Electronic Measurements
- Thomas Heinzel, Mesoscopic Electronics in Solid State Nanostructures Wiley-VCH
- Yoseph Imry, Introduction to Mesoscopic Physics Oxford
Course Assignments (Impacts on the Grading)
- Quizzes (10%)
- There will be weekly quizzes
- Homework (20%)
- There will be bi-weekly homework.
- Midterm Tests (35%)
- There will be two midterm tests.
- Final Test (25%)
- There will be a final test during the finals week.
- Project (10%)
- One project that studies a mesoscopic phenomenon in detail.
Week1 - Introduction to mesoscopic systems
What is mesoscale? Relevant length scales, electronic transport in solids
Week 2 - A reminder of solid state physics
Electronic energy bands, occupation of energy bands, doping, scattering, screening
Week 3 - Surface, interfaces, and layered devices
Electronic surface states, semiconductor/metal interfaces, 2D van der Waals heterostructures
Week 4 - Mesoscopic transport concepts
Ballistic transport, diffusive transport, quantum transport, Anderson localization
Weeks 5&6 - Magnetotransport properties of normal/quantum films
Hall effect, Landau quantization, Schubnikov- de Haas oscillations, quasi-2D electron gasses
Week 7 - Quantum Hall effect
A detailed study of the quantum Hall effect
Week 8 - Quantum wires
Diffusive and ballistic quantum wires, edge states
Week 9 - Quantum point contacts
Quantum point contact circuits and their properties
Week 10 - Quantum dots
Properties of quantum dots
Week 11 - Electronic phase coherence
Aharonov-Bohm effect in solids, weak localization, resonant tunneling
Week 12 - Single electron tunneling
Coulomb blockade, examples of SET circuits
Week 13 - Superconducting mesoscopic devices
Superconducting rings, thin wires, Josephson junctions, Andreev reflection, Majorana fermions
Week 14 - Experimental measurement of mesoscopic systems
Sample preparation, cryogenics, electronic measurements, new horizons with 2D layered materials