Non-Euclidean Geometry, Nontrivial Topology and Quantum Vacuum Effects

  title={Non-Euclidean Geometry, Nontrivial Topology and Quantum Vacuum Effects},
  author={Yu. A. Sitenko and Volodymyr M. Gorkavenko},
Space out of a topological defect of the Abrikosov–Nielsen–Olesen (ANO) vortex type is locally flat but non-Euclidean. If a spinor field is quantized in such a space, then a variety of quantum effects are induced in the vacuum. On the basis of the continuum model for long-wavelength electronic excitations originating in the tight-binding approximation for the nearest-neighbor interaction of atoms in the crystal lattice, we consider quantum ground-state effects in Dirac materials with two… 
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