CONDENSED MATTER PHYSICS - I

Paper Code: 
PHY 324 (a)
Credits: 
4
Contact Hours: 
60.00
Max. Marks: 
100.00
12.00
Unit I: 
Fundamentals of many-electron System:

Hartree-Fock Theory,The basic Hamiltonian in a solid: electronic and ionic parts, the adiabatic approximation;Single-particle approximation of the many-electron system; single product and determinantal wave functions, Occupation number representation; matrix elements of one and two-particle operators; The Hartree-Fock (H-F) method; the one electron H-F equation; exchange interaction and Fermi hole; Coulomb correlation; the H-F ground state energy.

12.00
Unit II: 
The interacting free-electron gas:

Quasi electrons and Plasmons:The interacting electron gas; The coulomb interaction; The Hartree-Fock approximation for the electron gas; Exchange Hole; Screeming, Plasmons; Quasi-electrons; The dielectric constant of the electron gas

12.00
Unit III: 
Spin-spin interaction: Magnons

Absence of magnetism in classical statistics; Origin of the exchange interaction; Direct exchange, super exchange, indirect exchange and itinerant exchange; Spin-waves in ferromagnets-magnons, spontaneous magnetization, thermodynamics of magnons; Spinwaves in lattices with a basis-ferri- and antiferromagnetism; Measurement of magnon spectrum; Ordered magnetism of valence and conduction electrons, Stoner’s criterion for metallic ferromagnet

12.00
Unit IV: 
Density Functional Theory

Basics of DFT, Comparison with conventional wave function approach, Hohenberg-Kohn Theorem; Kohn-Sham Equation; Thomas-Fermi approximation and beyond: LDA and GGA; Application of DFT in a many body calculation and its reliability.

12.00
Unit V: 
Experimental techniques :

Basic ideas of the techniques of field emission, scanning tunneling and atomic force microscopy, scanning electron microscopy, transmission electron microscopy, X-ray diffraction line broadening, small angle X-ray scattering and small angle neutron scattering; Ultraviolet–visible spectroscopy

References: 

1.    Stanly Raimes: Many Electron Theory; North Holland Publishing company Amsterdam-London
2.    2       O. Madelung: Introduction to Solid State Theory; Springer
3.    D.Pines and P. Nozier: The Theory of Quantum Liquids; Perseus Books Publishing LLC
4.    W.A. Harison : Pseudopotentials in the Theory of Metals, Benjamin
5.    Norman Henry March, ‎W. H. Young, ‎S. Sampanthar- Many Body Problem; cambridge university press
6.    P.I. Taylor, A Quantum Approach to the Solid State, Prentice Hall.
7.    Ech. Steinhardt and Ostulond: Physics of quasi crystals.
8.    Neil W. Aschoft & N. David Mermin : Solid State Physics, Harcourt Publishers (1976)
9.    Gerald Burns: Solid State Physics, Academic Press (1985).
10.    Wlater A. Harrison: Solid State Physics, Dover Publication (1980).
11.    Harald Ibach and Hans Luth: Solid State Physics: An introduction to Principles of
12.    Materials Science, Springer (2003).
13.    F. Seitz and D.Tumbull (Eds.): Solid State Physics, Advances in research and
14.    applications, supplement 3: A.A. Maraduddin, E.W. Montrol and G.H. Weiss: Theory of
15.    lattice dynamics in harmonic approximation : Academic Press (1963).
16.    13. Callaway: Quantum Theory of Solids Part A & B, Academic Press (1974).
17.    14. M.P. Marder: Condensed Matter Physics, Wiley-Interscience (2000).
18.    H.Ibach and H.Luth: An Introduction of Theory and Experiments- Solid State Physics, Narosa (1991).
19.    Edo M. Yussouf: Lecture Notes in Physics, No. 283, Electronic band structure and its Applications, Springer – Vertag (1987).
20.    D.Pines: Elementary Excitations in Solids; Perseus (1999)
21.    N.H. March and M. Passinello: Collective Effects in Solids and Liquids.
22.    J.M. Ziman: Principles of the Theory of Solids; Cambridge
23.    C. Kittel : Quantum Theory of Solids    
24.    Richard M. Martin: Electronic Structure- Basic Theory and Practical Methods:
25.    Cambridge (2004).
26.    Jorge Kohanoff: Electronic Structure Calculations for Solids and Molecules, Cambridge (2006).
27.    D.J. Singh & Lars Nordstrom: Plane waves, Psedopotentials and the LAPW method 2nd Ed. (2006).
28.    User guide/manual of softwares: WIEN2K,VASP, Quantum Expresso, Abinit
29.    J.H.Fendler; Nanoparticles and Nanostructured Films: Preparation, Characterization and Application

Academic Year: