IM2661 Superconductivity and Applications 6.0 credits

Supraledning och tillämpningar

Please note

This course has been cancelled.

  • Education cycle

    Second cycle
  • Main field of study

  • Grading scale

    A, B, C, D, E, FX, F

Last planned examination: autumn 20.

At present this course is not scheduled to be offered.

Intended learning outcomes

The course aims at giving the students in depth knowledge and know-how within the theory of superconductivity in order to understand and describe the principles behind various superconducting applications.

After the course, the students shold be able to:

  • describe different theories of superconductivity and their ranges of validity
  • in detail describe the difference between good conductors, perfect conductors and superconductors
  • apply London theory, modified London theory and Ginzburg-Landau theory for superconductivity for both derivations and numerical calculations
  • explain type-I and type-II superconductivity based on thermodynamic calculations of the Gibbs free energy for a superconductor
  • discuss vortices and their properties in a superconductor both quantitatively and qualitatively, especially concerning energy losses in superconducting wires
  • apply Bean critical state model
  • derive equations for Josephson junctions and relate this to different applications within superconducting electronics
  • describe various applications of superconductivity (superconducting wires, magnets, Maglev trains, SQUID:s, tomographs, measurement normals, superconducting electronics etc).

Course main content

  • Properties of superconductors, Meissner effect, good conductors and perfect conductors.
  • London theory for superconductors.
  • Thermodynamics for superconductors, type-I and type-II superconductivity.
  • Vortices in type-II superconductors, energy losses, Bean critical state model.
  • Josephson junctions, quantum interferometers (SQUID:S), short and long Josephson junctions.
  • Ginzburg-Landau theory for superconductors,
  • Large scale applications (e.g. magnets, energy storage, advanced transportation) and applications in electronics (e.g. SQUID instrumetns, computers, measurement normals).


Lectures (with less than minimum number of active students, the course can instead be given by supervised self-studies).


Good knowledge about basic concepts in vector analysis, like divergence, curl, line inegrals, Gauss and Stokes theorems.

Good knowledge of Maxwell's equations and basic quantum physics.


M. Andersson, Introduction to applied superconductivity, KTH (compendium)


  • INL1 - Written assignments, 3.0, grading scale: A, B, C, D, E, FX, F
  • KON1 - Partial exam, 3.0, grading scale: A, B, C, D, E, FX, F

Final grade on the course is based on the total number of points on the hand-in problems and the short exams.

Offered by

SCI/Applied Physics


Magnus Andersson <>

Supplementary information

The course is also elective for PhD students in the doctoral programme in physics.

The course is evaluated according to KTH's policy for course analysis.

The course is replaced by SK2759 as from autumn term 2017.


Course syllabus valid from: Autumn 2016.
Examination information valid from: Autumn 2016.