A Green's function approach to the Casimir effect on topological insulators with planar symmetry

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...

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Bibliographic Details
Published in:Europhysics letters 2016-03, Vol.113 (6), p.60005-60005
Main Authors: Martín-Ruiz, A., Cambiaso, M., Urrutia, L. F.
Format: Article
Language:English
Subjects:
03.50.De
03.70.+k
11.15.Yc
Clean energy
Green's functions
Insulators
Mathematical analysis
Metal plates
Plates
Stresses
Tensors
Thin films
Topological insulators
Topology
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Summary: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.
ISSN:0295-5075
1286-4854
DOI:10.1209/0295-5075/113/60005