A Green's function approach to the Casimir effect on topological insulators with planar symmetry
1 Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México 04510 México, Distrito Federal, México
2 Universidad Andres Bello, Departamento de Ciencias Fisicas, Facultad de Ciencias Exactas Av. Republica 220, Santiago, Chile
Received: 6 February 2016
Accepted: 31 March 2016
We investigate the Casimir stress on a topological insulator (TI) between two metallic plates. The TI is assumed to be joined to one of the plates and its surface in front of the other is covered by a thin magnetic layer, which turns the TI into a full insulator. We also analyze the limit where one of the plates is sent to infinity yielding the Casimir stress between a conducting plate and a TI. To this end we employ a local approach in terms of the stress-energy tensor of the system, its vacuum expectation value being subsequently evaluated in terms of the appropriate Green's function. Finally, the construction of the renormalised vacuum stress-energy tensor in the region between the plates yields the Casimir stress. Numerical results are also presented.
PACS: 03.70.+k – Theory of quantized fields / 03.50.De – Classical electromagnetism, Maxwell equations / 11.15.Yc – Chern-Simons gauge theory
© EPLA, 2016