Journal
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA
Volume 108, Issue 17, Pages 6867-6871Publisher
NATL ACAD SCIENCES
DOI: 10.1073/pnas.1018079108
Keywords
fluctuations; quantum electrodynamics
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Funding
- National Science Foundation [PHY08-55426, DMR-08-03315]
- Defense Advanced Research Projects Agency [S-000354]
- Deutsche Forschungsgemeinschaft [EM70/3]
- US Department of Energy [DE-FG02-05ER41360]
- Division Of Physics
- Direct For Mathematical & Physical Scien [0855426] Funding Source: National Science Foundation
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Casimir forces between conductors at the submicron scale are paramount to the design and operation of microelectromechanical devices. However, these forces depend nontrivially on geometry, and existing analytical formulae and approximations cannot deal with realistic micromachinery components with sharp edges and tips. Here, we employ a novel approach to electromagnetic scattering, appropriate to perfect conductors with sharp edges and tips, specifically wedges and cones. The Casimir interaction of these objects with a metal plate (and among themselves) is then computed systematically by a multiple-scattering series. For the wedge, we obtain analytical expressions for the interaction with a plate, as functions of opening angle and tilt, which should provide a particularly useful tool for the design of microelectromechanical devices. Our result for the Casimir interactions between conducting cones and plates applies directly to the force on the tip of a scanning tunneling probe. We find an unexpectedly large temperature dependence of the force in the cone tip which is of immediate relevance to experiments.
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