Casimir Effect for Massless Fermions in One Dimension: A Force Operator Approach
arXiv:0812.1990 · doi:10.1103/PhysRevA.78.060103
Abstract
We calculate the Casimir interaction between two short range scatterers embedded in a background of one dimensional massless Dirac fermions using a force operator approach. We obtain the force between two finite width square barriers, and take the limit of zero width and infinite potential strength to study the Casimir force mediated by the fermions. For the case of identical scatterers we recover the conventional attractive one dimensional Casimir force. For the general problem with inequivalent scatterers we find that the magnitude and sign of this force depend on the relative spinor polarizations of the two scattering potentials which can be tuned to give an attractive, a repulsive, or a compensated null Casimir interaction.
(4 pages, 3 figures; to appear in Phys. Rev. A, Rapid Communications)
References in corpus (5)
- Casimir force between partially transmitting mirrors
- The Casimir Effect for Fermions in One Dimension
- Casimir Forces and Boundary Conditions in One Dimension: Attraction, Repulsion, Planck Spectrum, and Entropy
- Oscillating Casimir force between impurities in one-dimensional Fermi liquids
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