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

2016/04/02 by A. Martín-Ruiz, M. Cambiaso, L. F. Urrutia
Physics and Astronomy · #cond-mat.mes-hall #hep-ph #hep-th

paper · pdf · doi:10.1209/0295-5075/113/60005

6 pages, 3 figures, latex epl.sty, accepted for publication in EPL

arxiv created 2016/04/02 · arxiv updated 2016/10/11

Abstract

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.

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