5. Superconductivity Explained –
BCS Theory
• Electron –
lattice
interaction
• Cooper pairs
• Energy Gap
• Coherence
• Flux
Quantization
6. Superconductivity Explained –
BCS Theory
• Electron –
lattice
interaction
• Cooper pairs
• Energy Gap
• Coherence
• Flux
Quantization
Two coupled electrons
with opposite momenta
and spins
Boson-like
Does not scatter -
resistanceless
Energetically favorable
in superconducting state
7. Superconductivity Explained –
BCS Theory
• Electron –
lattice
interaction
• Cooper pairs
• Energy Gap
• Coherence
• Flux
Quantization
8. Superconductivity Explained –
BCS Theory
• Electron –
lattice
interaction
• Cooper pairs
• Energy Gap
• Coherence
• Flux
Quantization
Can calculate phase and
amplitude at any point on
the wave
Coherence length
One wave equation
describes all Cooper pairs:
9. Superconductivity Explained –
BCS Theory
• Electron –
lattice
interaction
• Cooper pairs
• Energy Gap
• Coherence
• Flux
Quantization
Magnetic flux around a
closed superconducting
current loop must be
quantized
One
fluxon
10. Josephson Tunneling
• Josephson Junction – small gap
between two superconductors
• Cooper pairs can tunnel
• Critical current
supercurrent Phase difference
across the junction
11. Change in Phase
Due to:
• Current
• Magnetic field
• Josephson
Junctions
= P
19. References
• A.C. Rose-Innes and E.H. Rhoderick, „Introduction to
Superconductivity”, 2nd ed., 1978
• Kittel, Charles, „Introduction to Solid State Physics”, 6th
ed., 1986
• Clarke, John, „SQUIDs”, Scientific American (August 1994)
• STAR Cryoelectronics, Manual
• SQUID
Magnetometry, http://www.cmp.liv.ac.uk/frink/thesis/thesis
/node41.html
• http://hyperphysics.phy-
astr.gsu.edu/hbase/solids/supcon.html#c1
• Thank you Mark and Prof. McCammon for answering my
random questions
• Special thanks to Emily Barrentine for help and resources