Electrostatic properties of two-dimensional nanosystems can be completely described by their non-trivial geometry modes. In this paper we prove that these modes as well as the corresponding eigenvalues are invariant under any conformal transformation. This invariance suggests a new way to study electrostatic conformal transformations, while also providing an in-depth interpretation of the behavior exhibited by singular plasmonic nanoparticles.
|Original language||English (US)|
|Number of pages||13|
|State||Published - Oct 10 2011|
All Science Journal Classification (ASJC) codes
- Atomic and Molecular Physics, and Optics