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Course, academic year 2023/2024
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Superconductivity - NFPL177
Title: Supravodivost
Guaranteed by: Department of Low Temperature Physics (32-KFNT)
Faculty: Faculty of Mathematics and Physics
Actual: from 2018
Semester: winter
E-Credits: 5
Hours per week, examination: winter s.:2/1, C+Ex [HT]
Capacity: unlimited
Min. number of students: unlimited
4EU+: no
Virtual mobility / capacity: no
State of the course: taught
Language: Czech
Teaching methods: full-time
Teaching methods: full-time
Guarantor: RNDr. Zdeněk Janů, CSc.
Annotation -
Last update: KFNTZJ/MFF.CUNI.CZ (23.05.2008)
Phenomenology, Ginzburg-Landau a BCS theories, Josephson effect, high temperature superconductivity, applications.
Course completion requirements -
Last update: RNDr. Zdeněk Janů, CSc. (07.06.2019)

Written and oral exam

Literature -
Last update: RNDr. Zdeněk Janů, CSc. (06.05.2019)

M. Tinkham, Introduction to superconductivity, McGraw Hill, Inc.

Requirements to the exam -
Last update: RNDr. Zdeněk Janů, CSc. (07.06.2019)

The exam consists of written preparation and oral exam. The exam mark is determined on the basis of written and oral exams. In the case of a repeat examination, the exam again consists of a written preparation and an oral exam. Examination requirements correspond to the course syllabus. Credit is awarded for active participation in exercises, where selected problems of superconductivity are discussed or calculated.

Syllabus -
Last update: RNDr. Zdeněk Janů, CSc. (06.05.2019)

1. Introduction to superconductivity (electrical resistance, critical parameters, ideal conductivity and Meissner effect, London theory, type 1 and type 2 superconductors, thermodynamic properties, isotope effect, interaction with electromagnetic radiation)

2. Bardeen-Cooper-Schrieffer microscopic theory (origin of attractive interaction, variation method, ground state energy, coherence coefficients, calculation of the critical temperature and critical thermodynamic field, temperature dependence of the gap, density of states, gap-less superconductivity, electron tunneling, coherence effects)

3. Ginzburg-Landau (GL) phenomenological theory (order parameter, energy, coherence length, GL equations, flux penetration length and coherence length, limits of validity of GL theory, surface energy, type 1 and type 2 superconductors, magnetic flux quantization and quantum vortices)

4. Spontaneous breaking of gauge symmetry

5. Properties of type 2 superconductors (intermediate state, mixed state, interaction energy of vortices, interaction of vortices with surface, vortex pinning, critical state, resistive state, critical current, magnetization loop, imaging of vortices)

6. Weak superconductivity (Josephson junction (JJ), Josephson effect, calibration transformation, influence of a static magnetic field on JJ, electrodynamics of JJ, voltage-current characteristics of JJ, macroscopic quantum interference)

7. Applications of weak superconductivity (tunnel junctions, SQUIDs, analog and digital circuits)

8. High temperature superconductivity (history, structural and chemical properties of materials, magnetic and transport properties, theory)

 
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