Course Description
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 solidstate 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.
Catalog Description
Introduction to Mesoscopic SolidState Physics; What is Mesoscale; Electronic transport in solids; Transport in ballistic, diffusive and quantum transport; metalinsulator transition; Quantum Hall Effect; Quantum objects; Electronic Phase Coherence; Single Electron Tunneling; Superconductivity; Experimental methods; Cryogenics; Electronic Measurements
Recommended Text
 Thomas Heinzel, Mesoscopic Electronics in Solid State Nanostructures WileyVCH
 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 biweekly 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, quasi2D 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
AharonovBohm 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