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  • 3:05 PM, Monday, 17 Jan 2022

Course Postgraduate
Semester Sem. I
Subject Code PH616
Subject Title Statistical and Semiconductor Physics


Statistical Physics

1. Revision of thermodynamics: isolated, closed and open systems, reversible and irreversible processes. Zeroth and first laws: heat, internal energy and enthalpy, Joule- Thompson coefficient. Second law: entropy. Gibb’s free energy, Third law: statements (Nernst, Planck and Lewis).

2.Introduction to statistical physics: statistical description of system of particles, microstates, ensembles, microcanonical ensembles, canonical ensembles, partition functions, free energy, chemical potential, grand canonical ensembles. Maxwell - Boltzmann velocity and speed distributions, thermodynamics of blackbody radiation. Specific heat of solids and lattice vibrations: Breakdown of classical theory, Einstein’s theory of specific heat, Debye approximation.

3.Classical and quantum statistics: Maxwell-Boltzmann, Fermi-Dirac and Bose-Einstein distributions.

4.Free electron theory of metals: The electronic specific heat, thermionic emission from metals, photoelectric effect of metals. Phase transitions: Introduction to Critical phenomena, Ising model, mean field theory. Introduction to Statistical mechanics of interacting systems.

Semiconductor Theory

5.Carrier statistics: Fermi-Dirac distribution of electrons in solids. Density of states and Fermi energy, Fermi surfaces in solids. Intrinsic semiconductors, statistics of electrons and holes in semiconductors, low-temperature approximation to Maxwell-Boltzmann Statistics.

6.Statistics of extrinsic semiconductors: generation of donor and acceptor levels. P-n product: majority and minority carriers. Excess carriers in semiconductors, Law of mass action and the p-n product.Rate theory and Arrhenius equation of doping level activation energy, working temperatures of semiconductors. Fermi level in extrinsic semiconductors. Statistics of recombination: recombination mechanisms, carrier lifetime and photoconductivity.

7.Carrier dynamics: Drift and diffusion of carriers, Einstein’s diffusion relation, Hot-probe technique. Semiconductor contacts, band bending approximation. The pn junction: depletion (space-charge) region, depletion layer width, continuity equation.

Text Books

Same as Reference


1.Thermodynamics, Kinetic theory, and statistical thermodynamics, Sears and Salinger, Third edition, Narosa publishing, 1998

2.Statistical Mechanics, R.K. Pathria, Elsevier Publishing.

3.Fundamentals of statistical and thermal physics, F. Reif, Levant Books, 2010

4.Statistical mechanics, Kerson Huang, Wiley India, 2000.

5.Statistical mechanics of phase transitions, J. M. Yeomans, Oxford, 1992.

6.Solid State Physics, S.O. Pillai, New Age International Publications.

7.Physics of Semiconductor Devices, S.M. Sze, Wiley Publications.