LA13386
Using Einstein's general relativity, traditionally a theory of gravity, we
construct a model of a Josephson junction and find that it agrees with
results from condensed matter physics.
A Josephson junction is made by sandwiching a non-superconductor between
two superconductors. Superconducting electrons can 'tunnel' through the
non-superconducting barrier and produce a current. These junctions are
well-understood by condensed matter physics and have wide applications in
electronic circuits.
Recently, using tools from string theory, a gravity model of a
superconductor was found. It was created in hopes of understanding one of
the biggest puzzles in condensed matter: high temperature
superconductivity. We test this model by using it to build a Josephson
junction. We then calculate the behavior of the current across the
junction, and find that it matches the expectations from condensed matter
physics.
