Condensed Matter Physics - II

Paper Code:

25PHY424(A)

Credits:

Contact Hours:

60.00

Max. Marks:

100.00

Objective:

This course will enable the students to –

equips the students with the theoretical and experimental knowledge about solids, solid solutions, liquids, alloys, disordered materials, synthesis of nanomaterials and characterization technique.
prepares the students to take up research in Condensed Matter Physics.

Course Outcomes:

Course

Learning outcomes

(at course level)

Learning and teaching strategies

Assessment

Strategies

Course Code

Course Title

25PHY424(A)

Condensed Matter Physics - II

(Theory)

CO135: Design a novel synthesis approach for nanomaterials, integrating principles from bottom-up and top-down techniques.

CO136: Evaluate the reliability and accuracy of different characterization methods in determining nanomaterial structure, morphology, and optical properties, considering their impact on research outcomes.

CO137: Analyze the theory of metals, deconstructing the contributions of metallic interactions, kinetic energy, and electron correlations to material properties.

CO138: Design experiments to study liquid metal behavior and phase transformations, applying Ziman’s resistivity formula and phase diagram interpretations.

CO139: Analyze disordered systems in condensed matter, distinguishing between different types of disorder and their effects on material properties.

CO140: Contribute effectively in Course specific interaction.

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

10.00

Unit I:

Synthesis 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.

10.00

Unit II:

Characterization 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.

14.00

Unit III:

Theory of Metals:

Metallic interactions; Kinetic energy; electrostatic; exchange and correlation; Pseudopotential formulation; local and non-local Pseudopotential; 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 IV:

Liquid Metal and Alloys :

(a) 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)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 V:

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

Essential Readings:

· 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)

· W.A. Harison : Pseudo potentials in the theory of metals; W.A. Benjamin Inc. 1966, New York, Amsterdam

· Wlater A. Harrison : Solid State Physics (Dover Publications, 1980)

· 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

References:

· nsel 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.