X
X
X

X
Swayam Central

Electronic Theory of Solids

By Prof. Arghya Taraphder   |   IIT Kharagpur
The course aims to introduce electronic properties of solids starting from a very simple example: the two-atom solid. Building on this, it develops the theory of electrons in an N- atom solid – the band concept and its application to electrical and thermal properties in solids. The novel electronic concepts related to graphene and carbon nanotubes are discussed. Concept of symmetries and their relevance in emergent electronic properties are also outlined.Magnetism of solids is introduced. Different types of magnetic states and their origin are outlined. Magnetisation and susceptibility in para and diamagnetic cases, their measurements and calculations in simple cases discussed. Concept of magnetic long range order is presented with examples. A magnetic Hamiltonian is described and solved in simple cases. Idea of mean-field theory outlined. Basic concepts of superconductivity are introduced with historical developments. The Cooper problem and BCS theory are worked out. Electrodynamics and applications of superconductivity discussed. Elementary concepts of low dimensional electron gas, quantum dot, 1D and 2D electron gas introduced. Basics of Quantum Hall effect discussed. Spin filtering and magnetoresistance introduced. Spintronics and its applications outlined. Future directions in spin- or valley- tronics discussed.



INTENDED AUDIENCE : Physics, Chemistry, Material Science, Electronics, Electrical engineering, Nano-science and Nano-Technology 
PREREQUISITES :  Nil
INDUSTRY SUPPORT : Physics, Chemistry, Material Science, Electronics, Electrical engineering, Nano-science and Nano-Technology

Learners enrolled: 471

SUMMARY

Course Status : Upcoming
Course Type : Elective
Duration : 12 weeks
Start Date : 27 Jan 2020
End Date : 17 Apr 2020
Exam Date : 25 Apr 2020
Enrollment Ends : 03 Feb 2020
Category :
  • Physics
  • Level : Undergraduate/Postgraduate
    This is an AICTE approved FDP course

    COURSE LAYOUT

    Week 1 : Free electron theory of metals, Fermi-Dirac distribution, Free electrons, boundary conditions, Density of levels in
    1, 2 & 3 dimensions, Fermi momentum and Fermi 
    energy, Connection between electron density and Fermi energy.
    Week 2 : Independent electron systems, degenerate fermi gas: Specific heat, semiclassical theory of transport, Drude theory and
    Hall effect. Electronic properties of solids: the two-atom solid, theory of electrons in an N-atom solid, linear combination
    of atomic orbitals – band formation
    Week 3 : Periodic potential, Bloch's theorem, tight binding approximation. Brillouin zones for square, triangular, cubic lattices
    and energy bands in reduced zone scheme.
    Week 4 : Fermi surface in several cases, instabilities of the Fermi surface. Novel electronic structures: graphene and carbon
    nanotubes. Concept of symmetries and their relevance in emergent electronic properties, topological insulators.
    Week 5 : Elementary concepts of low dimensional electron gas, quantum dot, 1D and 2D electron gas introduced. 2D electrons
    in a magnetic field, integer quantum hall effect. Spin filtering and magnetoresistance. Spintronics and its applications.
    Future directions in spin- or valley-tronics.
    Week 6 : Magnetism and its origin, magnetization and susceptibility, dia-, para- and ferro-magnetism. Larmour diamagnetism.
    Week 7 : Hund’s rule and paramagnetism, Van Vleck paramagnetism, Curie’s law. Thermal properties of magnetic insulators,
            Pauli paramagnetism.
    Week 8 : Magnetic interactions, two-electron system, spin-spin interactions – exchange interaction, direct, super and itinerant exchange.
    Week 9 : Magnetic order, Ising, XY and Heisenberg spin models, mean-field theory, ground states and thermodynamics.
    Week 10 : Phenomenology of Superconductors, Superconductivity in metals and alloys, New Superconductors, Zero Resistance,
    Meissner Effect, London equation and two- fluid model. Attractive interaction, Cooper problem – instability of the Fermi
    surface, pair formation and binding energy.
    Week 11 : BCS theory, tunneling, SC gap and transition temperature. Sp. heat jump at Tc, coherence length and penetration
       depth: electrodynamics of superconductors, Type-I and II SC, vortices.
    Week 12 : Quantum interference, Josephson effect, SC junctions, squid and its application. Novel superconductors.

    BOOKS AND REFERENCES

    Solid State Physics by N W Ashcroft and N D Mermin,Atoms to Solids by S Datta, Condensed Matter Physics by M Marder, Advanced Solid State Physics, Ed. 2 by Phillip
    Phillips.

    INSTRUCTOR BIO

    Prof. Arghya Taraphder

    IIT Kharagpur
    Professor and former HoD, Dept of Physics and Centre for Theoretical Studies, IIT Kharagpur
    PhD: IISc Bangalore 1991
    PhD guidance: 7 completed 1 submitted
    Postdoctoral Associate in the Condensed Matter Physics Group, Rutgers University, USA: Aug. 1991 - Jan. 1993
    Visiting Scientist, NEC Research Institute, Princeton, USA: Aug. 1991 - Jan. 1993
    Visiting Scientist, LEPES, CNRS, Grenoble, France: Feb. 1993 – July 1994
    Visiting Professor, Michigan State University, July 1999
    Visiting Professor, University of Neuchatel, Switzerland
    Visiting Professor, Michigan State University, Feb. 2001-Apr.
    2001
    Visiting Associate, ICTP, Trieste Italy, May 2001-July 2001 Visiting Professor, Michigan State University, May 2001- July 2001
    Visiting Professor, Humboldt University, Berlin, May 2003 Visiting Associate, ICTP, Trieste Italy, June 2003-Aug 2003 Visiting Professor, University of Neuchatel, Switzerland, Aug-Sep 2003
    Visiting Professor, ICMM, CSIC, Madrid, Spain Oct. 2003- Sep. 2004
    Guest Scientist, Max Planck Institute for Physics of Complex Systems, Dresden, Germany, Oct. 2004 - Dec. 2004
    Guest Scientist, Max Planck Institute for Physics of Complex Systems, Dresden, Germany, May 2005 - July 2005
    Guest Scientist, Max Planck Institute for Physics of Complex Systems, Dresden, Germany, May 2006 - July 2006
    Guest Scientist, Max Planck Institute for Physics of Complex Systems, Dresden, Germany, May 2007 - July 2007
    Guest Scientist, Max Planck Institute for Physics of Complex Systems, Dresden, Germany, Jan 2008 - April 2008
    Guest Scientist, Max Planck Institute for Physics of Complex Systems, Dresden, Germany, May 2009 – July 2009
    Guest Scientist, Max Planck Institute for Physics of Complex Systems, Dresden, Germany, May 2010 – July 2010
    Visiting Professor, Michigan State University, June 2013- July 2013
    Visiting Professor, University of Witswatersrand, Johannesburg, Aug 2014
    Academia Sinica Foreign Expert, Yangchen Institute of Technology, China, Dec. 2014, June 2015
    Research Interests:
    Problems in Condensed-Matter Physics -- Correlated and disordered electronic systems, Phase transitions, Statistical mechanics including biological and other complex systems.

    COURSE CERTIFICATE

    • The course is free to enroll and learn from. But if you want a certificate, you have to register and write the proctored exam conducted by us in person at any of the designated exam centres.
    • The exam is optional for a fee of Rs 1000/- (Rupees one thousand only).
    Date and Time of Exams: 25th April 2020, Morning session 9am to 12 noon; Afternoon Session 2pm to 5pm.
    • Registration url: Announcements will be made when the registration form is open for registrations.
    • The online registration form has to be filled and the certification exam fee needs to be paid. More details will be made available when the exam registration form is published. If there are any changes, it will be mentioned then.
    • Please check the form for more details on the cities where the exams will be held, the conditions you agree to when you fill the form etc.

    CRITERIA TO GET A CERTIFICATE:
    • Average assignment score = 25% of average of best 8 assignments out of the total 12 assignments given in the course.
    • Exam score = 75% of the proctored certification exam score out of 100
    • Final score = Average assignment score + Exam score

    YOU WILL BE ELIGIBLE FOR A CERTIFICATE ONLY IF AVERAGE ASSIGNMENT SCORE >=10/25 AND EXAM SCORE >= 30/75.
    • If one of the 2 criteria is not met, you will not get the certificate even if the Final score >= 40/100.
    • Certificate will have your name, photograph and the score in the final exam with the breakup.It will have the logos of NPTEL and IIT Kharagpur. It will be e-verifiable at nptel.ac.in/noc.
    • Only the e-certificate will be made available. Hard copies will not be dispatched.

    DOWNLOAD APP

    FOLLOW US