Concepts in Magnetism and Superconductivity

By Prof. Arghya Taraphder | IIT Kharagpur

Learners enrolled: 1193

ABOUT THE COURSE:

The course aims to introduce and work through the underlying concepts behind magnetism and superconductivity. Starting from an electron in a magnetic field, the magnetic responses of a collection of atoms in a solid are worked out. Magnetization and susceptibility in para and diamagnetic cases, their applications and excitations are discussed. Superconductivity: zero resistance, Meissner effect, perfect diamagnetism; BCS theory, energy gap, isotope effect and tunneling experiments worked out. Josephson junctions and their applications, qubits and quantum chips discussed. Novel high-TC superconductor introduced. The emphasis is on working things out from very simple physical concepts.

INTENDED AUDIENCE: B Tech, BE, M Tech, ME, MSc, PhD

PREREQUISITES: Modern physics and elementary quantum mechanics, basic ideas in condensed matter or solid-state physics

INDUSTRY SUPPORT: Microsoft, IBM, AT&T, Accenture, google quantum AI, Philips, DRDO, Intel, BEL, Infineon technologies, Samsung, LG, Silfab and such others

Summary

Course Status :	Completed
Course Type :	Elective
Language for course content :	English
Duration :	8 weeks
Category :	Physics
Credit Points :	2
Level :	Undergraduate/Postgraduate
Start Date :	25 Jul 2022
End Date :	16 Sep 2022
Enrollment Ends :	08 Aug 2022
Exam Date :	25 Sep 2022 IST

Note: This exam date is subject to change based on seat availability. You can check final exam date on your hall ticket.

Page Visits

Course layout

Week 1: The magnetic moment, Bohr magneton, Bohr-van Leeuwen theorem. Magnetisation and susceptibility; an isolated atom in a magnetic field, dia, para and ferromagnetic susceptibilities. Hund’s rules. Van Vleck paramagnetism.

Week 2: Magnetization of a collection of independent ions: Curie’s Law. Adiabatic demagnetization, Pauli paramagnetism. Ions in a solid: Crystal field, Orbital quenching, Jahn-Teller effect.

Week 3: Magnetic resonance technique: concepts of NMR, ESR. Magnetic interactions, relevant energy scales, dipolar interaction and origin of exchange.

Week 4: 2-electron system, spin Hamiltonian. Direct, super, indirect and itinerant exchange. Magnetic impurity, RKKY and the concept of GMR.

Week 5: 1D Ising model: mean-field and exact solution. Mermin-Wagner theorem. FM Heisenberg model, AFM and the concept of frustration.

Week 6: Superconductivity: discovery and phenomena. Zero resistance and Meissner effect. London equation and two fluid description. Cooper problem.

Week 7: BCS theory, energy gap, isotope effect, transition temperature, Specific Heat. Type-I, Type-II superconductors, Abrikosov vortices.

Week 8: Quantum interference, Josephson effect, superconducting junctions, squid and its applications, qubits and quantum chips. Novel superconductors.

Books and references

Solid State Physics by N W Ashcroft and N D Mermin
Magnetism in Condensed Matter by S. Blundell
Superconductivity, Superfluids and Condensates by J F Annett

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: 25 September 2022 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 6 assignments out of the total 8 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.

Once again, thanks for your interest in our online courses and certification. Happy learning.

- NPTEL team