CONDENSED MATTER PHYSICS - I

Paper Code: 
PHY 324 (A)
Credits: 
04
Contact Hours: 
60.00
Max. Marks: 
100.00
Objective: 
  • The student will be equipped with background knowledge to understand different types of materials and to take up research in Condensed Matter Physics.
  • The student will be able to understand Fundamentals of many-electron System, Quasi electrons and Plasmons, spin- orbit and  Spin-spin interaction, Density Functional Theory & Experimental techniques in nanotechnology.

                     Course

Learning outcome (at course level)

Learning and teaching strategies

Assessment Strategies

Paper Code

Paper Title

PHY 324(A)

Condensed Matter Physics - I

 

After the completion of this course the student will be able to:

 

CO 100: To understand the role of quantum effects in micro- and meso-scopic systems and acquire a fundamental understanding of a range of physical phenomena in condensed matter systems.

CO 101: To learn about the theory and procedures of Hartree Fock theory and Density functional theory

CO 102: Learn about the difference between Schrodinger’s picture and Heisenberg’s picture of interactions for a Many body problem

CO 103: Understand the formalism of spin- spin interaction and magnons

CO 104: Knowledge of some useful experimental techniques of material characterization

 

Approach in teaching:

Interactive Lectures, Discussion, Tutorials, , Demonstration, Problem Solving

 

 

 

 

 

 

Learning activities for the students:

Self learning assignments, Effective questions,  Seminar presentation, Solving numerical.

Additional learning through online videos and MOOC courses

Class test, Semester end examinations, Quiz, Solving problems, Assignments, Presentations

 

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

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

 

 

Academic Year: 
2019-2020
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