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arXiv:2107.02901 · Armenian Journal of Physics

Bose-Einstein Condensation and Quasicrystals

Moorad Alexanian, Vanik E. Mkrtchian

Published Jul 2, 2021• 0 citations
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Abstract

We consider interacting Bose particles in an external local potential. It is shown that large class of external quasicrystal potentials cannot sustain any type of Bose-Einstein condensates. Accordingly, at spatial dimensions D ≤ 2 in such quasicrystal potentials a supersolid is not possible via Bose-Einstein condensates at finite temperatures. The latter also hold true for the two-dimensional Fibonacci tiling. However, supersolids do arise at D ≤ 2 via Bose-Einstein condensates from infinitely long-range, nonlocal interparticle potentials.

DOI
10.52853/18291171-2021.14.2-128

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