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Durham University

Department of Physics

PHYS4151 Advanced Condensed Matter Physics (2018/19)

Details of the module's prerequisites, learning outcomes, assessment and contact hours are given in the official module description in the Faculty Handbook - follow the link above. A detailed description of the module's content is given below, together with book lists and a link to the current library catalogue entries. For an explanation of the library's categorisation system see https://www.dur.ac.uk/physics/students/library/

Content

Soft Matter and Biological Physics

Dr H. Kusumaatmaja

12 lectures in Michaelmas and Epiphany Terms

Textbooks:

Required: Soft Condensed Matter, R. A. L. Jones (Oxford Master Series in Physics, 2002, ISBN 0 19 850589), Chapters 3, 7 and 9.

Additional: Soft Condensed Matter, M. Doi (Oxford University Press, 2013, ISBN 0199652953).

Syllabus: Advanced material building on concepts from soft matter and biological physics covering phase transitions, membranes and liquid crystals in a biological context where appropriate. The course will focus on: the kinetics of phase transitions including the mechanisms of liquid-liquid demixing phase separation; self-assembly of micelles and membranes; liquid crystals; and soft and biological systems out of equilibrium.

Low Dimensional Solids

Dr A.T. Hindmarch

12 lectures in Michaelmas Term

Textbooks:

Additional: The Physics of Low Dimensional Semiconductors, J.H. Davies (CUP)

Additional: Introduction to Solid State Physics, C. Kittel (Wiley, 8th edition) Additional: Physics and Chemistry of Solids, S.R. Elliott (Wiley)

Syllabus: Definition of low dimensional solids, relevant length and energy scales for manifestation of quantum confinement. Physical realisation of low dimensional structures: brief overview of the production of quantum dots, wires, nanotubes, graphene and semiconductor heterostructures. Zero dimensional solids: density of states in zero dimensions; optical properties of metallic and semiconducting quantum dots; electronic transport in zero dimensions: Coulomb blockade, Kondo effect, superconducting dots; applications of zero dimensional solids (emphasis on electronic/optical properties, e.g. single electron transistor, semiconductor nanocrystals as biological labels). One dimensional solids: density of states in one dimension: subbands and van Hove singularities, periodic boundary conditions in nanotubes; the special case of the 1D Fermi surface: Coulomb interaction and lattice coupling in 1D metals (breakdown of Fermi liquid behaviour, Peierls distortion); transport in one dimension: transport regimes, phase coherence, Landauer formula, resonant tunnelling, universal conductance fluctuations, localisation; quantised vibrations, heat capacity and thermal transport in one dimension; applications of one dimensional solids. Two dimensional solids: density of states and the Fermi surface in two dimensions; confinement in two dimensions: graphene and real (finite-depth) potential wells in semiconductor heterostructures; transport in two dimensional solids: conductivity of a two dimensional electron gas, subband filling; magneto-transport in two dimensions: resistivity and conductivity tensors, Büttiker-Landauer formalism, integer quantum Hall effect; applications of two-dimensional solids.

Optical Devices

Dr F.M.B. Dias

12 Lectures in Epiphany Term

Textbooks:

Required: Semiconductor Physics and Devices: Basic Principles, 4th edition, Donald A. Neamen, McGraw Hill International Edition (2012).

Additional: Optoelectronics and Photonics-Principles and Practices, 2nd edition, S.O. Kasap, Pearson International Edition (2013).

Syllabus: Review of the general theories of light/matter interaction: classical and quantum. Correspondence of the quantised nature of confined light-wave modes with one-dimensional matter wave solutions to the Schrödinger equation. Optical properties of materials, particularly doped semiconductors. Semiconductor (p-n) junctions. Optoelectronic devices using the semiconductor p-n junction: Photovoltaic/photoconductive detectors; Solar cell; Light emitting diode, (Franz Keldysh effect) Electro-absorption modulator. Optical waveguide devices: Passive devices (power splitters/combiners); Active devices (electro-optic/thermo-optic modulators, attenuators).

Revision

3 lectures in Easter Term, one by each lecturer.

Teaching methods

Lectures: 2 one-hour lectures per week

Problem exercises: See https://www.dur.ac.uk/physics/students/problems/