Optical BCS conductivity at imaginary frequencies and dispersion energies of superconductors
- We present an efficient expression for the analytic continuation to arbitrary complex frequencies of the complex optical and ac conductivity of a homogeneous superconductor with an arbitrary mean free path. Knowledge of this quantity is fundamental in the calculation of thermodynamic potentials and dispersion energies involving type-I superconducting bodies. When considered for imaginary frequencies, our formula evaluates faster than previous schemes involving Kramers-Kronig transforms. A number of applications illustrate its efficiency: a simplified low-frequency expansion of the conductivity, the electromagnetic bulk self-energy due to longitudinal plasma oscillations, and the Casimir free energy of a superconducting cavity.
| Author details: | Giuseppe Bimonte, Harald Richard Haakh, Carsten HenkelORCiDGND, Francesco Intravaia |
|---|---|
| URL: | http://iopscience.iop.org/1751-8121/ |
| DOI: | https://doi.org/10.1088/1751-8113/43/14/145304 |
| ISSN: | 1751-8113 |
| Publication type: | Article |
| Language: | English |
| Year of first publication: | 2010 |
| Publication year: | 2010 |
| Release date: | 2017/03/25 |
| Source: | Journal of physics A. - ISSN 1751-8113. - 43 (2010), 14, Art. 145304 |
| Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie |
| Peer review: | Referiert |
