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 .

 

Essential Readings: 
  1. Stanly Raimes: Many Electron Theory; North Holland Publishing company Amsterdam-London
  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: 
2018-2019
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