Regensburg 2016 – wissenschaftliches Programm

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TT: Fachverband Tiefe Temperaturen

TT 19: Superconductivity: Poster Session

TT 19.27: Poster

Montag, 7. März 2016, 15:00–18:00, Poster D

Casimir forces between two impurities in a lattice — Dmitry Efremov¹, •Andrei Pavlov¹, and Jeroen van den Brink^1,2 — ¹Institute for Theoretical Solid State Physics, IFW Dresden, Dresden, Germany — ²Department of Physics, Technical University Dresden, Dresden, Germany

We considered an interaction of impurities due to phonon exchange, leading to a long-range interaction, which behaves like Casimir forces. The contribution of virtual phonons is calculated by exact diagonalization of phonon operators on finite-sized lattices and by consideration of diagrams, describing exchange of phonons up to the second order of the perturbation theory, in an inverse space independently. The obtained results are consistent with good precision. The phonon interaction leads to attraction of impurities, but it is not strong enough for causing phase separation of the impurities inside a lattice both at zero and non-zero (but still small) temperatures.