ABSTRACT
Dr. John Bardeen is widely known for his Nobel Prize-winning theory of superconductivity. An appropriately modified integral equation for the superconducting energy gap is solved numerically to yield transition temperatures both for a pure-exciton mechanism and for the exciton and phonon mechanisms acting simultaneously.” Since 1964, W. Little and V. L. Ginzburg have discussed the problem of high-temperature superconductivity. The analogy between superconductivity and superfluidity has long been understood by Bardeen, as is clearly demonstrated in his paper. The chapter discusses connections between the unitary regime and other areas of physics—quark-gluon plasmas, gauge-gravity duality and high temperature superconductivity. At an appropriate high magnetic field and low temperature, the bilayer electron system condenses into a state resembling a superconductor, only with the Cooper pairs replaced by excitons comprised of electrons in one layer bound to holes in the other. In conclusion, Bardeen had a strong feeling that excitons played a significant role in high temperature superconductivity.
