Excitons and Plasmons in Superconductors
- 15 February 1961
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 121 (4), 1050-1062
- https://doi.org/10.1103/physrev.121.1050
Abstract
The Anderson-Rickayzen equations of motion for a superconductor derived within the random-phase approximation (RPA) are used to investigate the collective excitations of superconductors. A spherical harmonic expansion is made of the two-body interaction potential and a spectrum of excitations whose energies lie within the energy gap is obtained. These excitations may be characterized by the quantum numbers and involved in the potential expansion. For an -state exciton to exist, the -wave part of the potential must be attractive at the Fermi surface. Odd- excitons have unit spin and may be considered as spin waves. For -state pairing in the superconducting ground state, the plasmon mode corresponds to the exciton whose energy is strongly modified by the long-range Coulomb interaction. For a general potential several bound states may exist for given and . If the -wave potential is stronger than the -wave part of the potential, the system is unstable with respect to formation of -state excitons. In this case, the ground state is formed with -state pairing, special cases of which are the -state pairing considered by Fisher and the -state pairing proposed recently by several authors for the ground state of and nuclear matter. Corrections to the Anderson-Rickayzen equations are discussed which lead to a new set of exciton states if the -wave potential is repulsive. These excitons are interpreted as bound electron-hole pairs, as opposed to the particle-particle excitons present with an attractive -wave potential.
Keywords
This publication has 10 references indexed in Scilit:
- Transverse Collective Excitations in Superconductors and Electromagnetic AbsorptionPhysical Review B, 1960
- Apparent Structure on the Far Infrared Energy Gap in Superconducting Lead and MercuryPhysical Review Letters, 1959
- Collective Excitations in the Theory of SuperconductivityPhysical Review B, 1959
- Collective Excitations in SuperconductorsProgress of Theoretical Physics, 1959
- Random-Phase Approximation in the Theory of SuperconductivityPhysical Review B, 1958
- Comments on the theory of superconductivityIl Nuovo Cimento (1869-1876), 1958
- On a new method in the theory of superconductivityIl Nuovo Cimento (1869-1876), 1958
- Theory of SuperconductivityPhysical Review B, 1957
- Bound Electron Pairs in a Degenerate Fermi GasPhysical Review B, 1956
- Electron-Phonon Interaction in MetalsPhysical Review B, 1955