Casimir-Polder force and torque for anisotropic molecules close to conducting planes and their effects on CO${}_2$

Abstract

We derive the Casimir-Polder force and Casimir torque expressions for an anisotropic molecule close to a conducting plane with a tensorial conductivity. We apply our general expressions to the case of a carbon dioxide CO${}_2$ molecule close to a plane with pure Hall conductivity and to graphene. We show that the equilibrium position of this linear molecule is with its main axis perpendicular to the surface. We hence conjecture a possible way to exploit the Casimir torque to mechanically improve the performance of CO${}_2$ separation membranes useful for an efficient atmospheric CO${}_2$ reduction.

11 pages, 8 figures

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Cited by in corpus (11)

• Atom-surface physics: A review
• Twisted bilayered graphenes at magic angles and Casimir interactions: correlation-driven effects
• Linear probing of molecules at micrometric distances from a surface with sub-Doppler frequency resolution
• Probing topological phase transitions via quantum reflection in the graphene family materials
• The low-temperature expansion of the Casimir-Polder free energy of an atom with graphene
• Peak, valley and intermediate regimes in the lateral van der Waals force
• Using graphene conductors to enhance the functionality of atom-chips
• Regimes of the lateral van der Waals force in the presence of dielectrics
• The normal Casimir force for lateral moving planes with isotropic conductivities
• Sign inversion in the lateral van der Waals force between an anisotropic particle and a plane with a hemispherical protuberance: an exact calculation
• Casimir-Polder interaction with Chern-Simons boundary layers