Quantum Phenomena and Solid State Electronics

Ref. groupD/D5

Leader: Dr G.A.J. Amaratunga

14 lectures (including examples) + coursework

Timing: Michaelmas term

Prerequisites: Part IIA Paper E3 helpful.

AIMS

The aim of this module is to introduce the basic quantum mechanical principles which underpin the design and operation of modern electronic devices. Mathematical formalism is kept to the minimum required for quantitative analysis of solid state devices. No previous knowledge of quantum phenomena is assumed.

LECTURE SYLLABUS

Solid state electronics and quantum electronics

Quanta of energy and wave particle duality (1L, Dr M.E. Welland).

Wave equation, momentum, energy and Schrodinger's equation, probability density and normalisation (2L, Dr M.E. Welland).

QM expression for electron current, solutions to Schrodinger equation (finite potential well, infinite barrier-tunnelling) (3L, Dr G.A.J. Amaratunga).

Electrons in crystals, Kronig Penney model, energy bands, effective mass and carrier transport, density of states (4L, Dr M.E. Welland).

Lectures on basic device concepts utilizing particle and wave nature of electrons: Quantum wells, 2-D electron gas and high electron mobility transistors (HEMT), resonant tunnelling, ballistic transistors, optically absorbing and radiating devices (4L, Dr G.A.J. Amaratunga).

COURSEWORK

2 one-hour audio-visual sessions illustrating material from the lectures.

2 hour interactive computer simulation on aspects of solid state and quantum electronics. A formal report of the simulation is required (approximately four hours' work).

OBJECTIVES

On completion of the module students should:

* Be able to explain basic principles of quantum mechanics;

* Understand how wave phenomena of electrons can be predicted;

* Appreciate how nanoscale engineering allows for wave base elctronic devices to be realised;

* Prepare for design and research in solid state electronic/opto-electronic devices.

ASSESSMENT

Material Format Timing Marks

Lecture syllabus Written exam (1.5 hours) Start of Lent term 75%

Coursework Report on simulation study End of Michaelmas term 25%

REFERENCES

Authors Title

C.U.E.D. Library Shelfmark

LANDSHOFF, P. and METHERELL, A. SIMPLE QUANTUM PHYSICS Cambridge University Press, 1979

LG 282

GREENHOW, R.C. INTRODUCTORY QUANTUM MECHANICS: A COMPUTER ILLUSTRATED TEXT Adam Hilger, 1990

ELECTRICAL and INFORMATION SCIENCES TRIPOS PART II

ENGINEERING TRIPOS PART IIB

1995/96

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