## Department of Physics Papers

#### Document Type

Journal Article

#### Date of this Version

12-30-2008

#### 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.

#### Recommended Citation

Zhabinskaya, D., Kinder, J. M., & Mele, E. J. (2008). Casimir Effect for Massless Fermions in One Dimension: A Force-Operator Approach. Retrieved from http://repository.upenn.edu/physics_papers/95

**Date Posted:** 13 January 2011

This document has been peer reviewed.

## Comments

Suggested Citation:

D. Zhabinskaya, J.M. Kinder and E.J. Mele. (2008). "Casimir effect for massless fermions in one dimension: A force-operator approach."

Physical Review A.78, 060103.© 2008 The American Physical Society

http://dx.doi.org/10.1103/PhysRevA.78.060103