Here are the action items:
- Choose a mesoscopic phenomena.
- Email me your choice by !!!1st of November!!!
- Once you get an OK from me, send me an outline of your paper. !!! Due 15th of November!!!
- Write a review paper. It should be extremely comprehensive. I expect a minimum 3000 word (approximately 5 pages) paper with proper citations and figures. !!!DUE 15th of December!!!
- Prepare a 10 minute long presentation regarding your subject. We will schedule it at the end of the semester. (Probably we will do it on December 25th)
Feel free to choose any topic you like. But please beware that I am after a review paper! So it should include contemporary research on the subject as well as the basics. For instance a paper on the Quantum Hall Effect should start from the predictions of Ando, Matsumoto and Uemura to the first experiments of von Klitzing to the observation of QHE in graphene. First come first serve! I will assign a particular topic to a single person only.
Evaluation of the Projects
The total 100 points will be composed of
- 10 points from the outline
- 50 points from the paper
- 30 points from the presentation
- 10 points from the participation during the presentation
Soheil Ershad – Josephson Effect in Mesoscopic Systems
Farhan Ali – Quantum Dots
Sina Foroutan – Quantum superposition and entanglement of mesoscopic plasmons
Mirali Jahangirzadeh – Spintronics and spiny systems
Sina Gholizadeh – Topological Insulators
Şahmurat Kazak – Mesoscopic phenomena in carbon nanotubes
Muhammed Bilgin – Thermal conductivity in mesoscopic materials
Ali Sherazi – Single electron transistor
Merve Üstünçelik – Mesoscopic physics in 2D superlattices
Homework & Solutions
Quizzes & Solutions
Midterms & Solutions
MT1- Average 62.34, Std. Dev. 19.72, Median 67 with 88 top, 32 lowest grade.
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 (12%)
- There will be weekly quizzes
- Homework (15%)
- 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 (13%)
- 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