Condensed Matter Physics - II

Paper Code: 
PHY 424(A)
Credits: 
4
Contact Hours: 
60.00
Max. Marks: 
100.00
Objective: 

This course will enable the students to –

1.     To equips the students with the theoretical and experimental knowledge about solids, solid solutions, liquids, alloys, disordered materials, introduction & synthesis of nanomaterials.

2.     To prepares the students to take up research in Condensed Matter Physics.

Course outcomes (COs):

 

Course

Learning outcomes

(at course level)

Learning and teaching strategies

Assessment

Strategies

PAPER CODE

Paper Title

PHY 424(A)

 

 

 

Condensed Matter Physics - II

 (Theory)

 

 

 

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

CO119: understand the quantum mechanical behavior of metals, metallic interactions, pseudo potential formulation, exchange and correlation interactions

CO120: get the basic knowledge of liquid metals- structure factor and radial distribution functions, its resistivity.

CO121: define solid solution, its properties, phase transformations, binary metal alloy

CO122: understanding of Disordered condensed matter with its specifications and the idea to amorphous semiconductors & hopping conduction.

CO123:  get the basic knowledge of nano materials, quantum dots, quantum wires, fullerenes and graphenes.

CO124: get the idea of some useful experimental techniques of synthesis/deposition of nano-material.

Approach in teaching:

Interactive Lectures, Discussion, Tutorials, Demonstration, problem solving in tutorials

 

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

 

14.00
Unit I: 
Theory of Metals

Metallic interactions; Kinetic energy; electrostatic; exchange and correlation; Pseudopotential formulation; local and non-local Pseudopotentials; The diffraction model; Factorization of matrix elements; structure factor; Form Factor; Total Energy of the metals; Free electron energy, Band Structure energy; Self consistent screening of a local pseudopotential; Dielectric screening function, Energy wave number Characteristic

14.00
Unit II: 
II

(a)Liquid Metal and Alloys                                                     Liquid structure factor s(q); radial distribution function g(r); Relationship between s(q) and g(r); Ziman’s resistivity formula, the role of effective mass on resistivity, Binary liquid metal alloys; Atom-atom partial structure factors; Thermodynamical relations.

(b)Phase Transformation in Alloys                                                                Equilibrium transformation of first and second order, Phase rule, Equilibrium phase diagrams, Interpretation of Phase Diagrams; Substitutional solid solutions, Vegard's law, Interstial Solid Solutions, Hume-Rothery rules, Phase diagrams for binary alloys; Martensitic transitions.

 

12.00
Unit III: 
Disordered Systems

Disorder in condensed matter- substitutional, positional and topographical disorder; Short and long-range order; Atomic correlation function and structural descriptions of glasses and liquids; Anderson model; mobility edge; Minimum Metallic Conductivity, Qualitative application of the idea to amorphous semiconductors and hopping conduction.

10.00
Unit IV: 
Nanomaterials:

Free electron theory (qualitative idea), variation of density of states with energy, variation of density of state and band gap with size of crystal. Electron confinement in infinitely deep square well, confinement of two and one dimensional well, idea of quantum well structure, tunneling through potential barrier, quantum dots, quantum wires, introduction to fullerenes and graphenes

10.00
Unit V: 
Experimental techniques for Nanomaterials

Different methods of preparation of nanomaterial, Sol-gel and chemical bath deposition method, effect of temperature on the size of the particles. Bottom up: cluster beam evaporation, ion beam deposition, top down: ball milling. DC and RF sputtering.

 

References: 
  • W.A. Harison : Pseudo potentials in the theory of metals; W.A. Benjamin Inc. 1966, New York, Amsterdam
  • N.H. March: Liquid Metals: Concepts and Theory; Cambridge University Press
  • T. E. Faber: An introduction to the Theory of liquid metals; Cambridge University Press
  • Hansel and Mc Donald: Theory of Simple liquids; Academic Press INC. (London)
  • March, Young and Saupenthe : Many Body Problems.
  • March and Tosi : Atomic Motions in Liquids; Dover Publications 
  • March, Tosi and Street: Amorphous solids and the Liquids State, Plenum, 1985.
  • Dugdale : Electrical Properties of Metals and Alloys;  Edward Arnold (June 1977)
  • P.I. Taylor: A. Quantum Approach to the Solid State, Prentice Hall
  •  L. Azaroff: Introduction to Solids; McGraw-Hill Companies; New edition edition (1984)
  • Srinivasan: Science of Engineering Materials; John Wiley & Sons
  • Hand Book of nano-structured Materials & Nanotechnology- Ed. Hari Singh Nalwa (Vol.1 to 4);
  •  C. Kittal, Quantum theory of Solids
  • Pride- An introduction to Condensed Matter Physics
  • K.K. Chattopadhyay and A.N. Banerjee; Introduction to Nanoscience and Nanotechnology; PHI
  •  Sulabha K. Kulkarni; Nanotechnology Principles and Practice; Springer
  • David K. Ferry, Stephen M. Goodnick and Jonathan Bird; Transport in Nanostructures;Cambridge University Press (2009)
  • J.H. Fendler; Nanoparticles and Nanostructured Films: Preparation, Characterization and Application; Wiley-VCH(1998)

 

Academic Year: 
2021-2022
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