172 citations · 3.5k across the 115 of their papers we have counts for
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Exotic supersymmetry of the kink-antikink crystal, and the infinite period limit
Mikhail S. Plyushchay, Adrian Arancibia, Luis-Miguel Nieto
Some time ago, Thies et al. showed that the Gross-Neveu model with a bare mass term possesses a kink-antikink crystalline phase. Corresponding self-consistent solutions, known earl…
Klein tunneling in carbon nanostructures: a free particle dynamics in disguise
Vit Jakubsky, Luis-Miguel Nieto, Mikhail S. Plyushchay
The absence of backscattering in metallic nanotubes as well as perfect Klein tunneling in potential barriers in graphene are the prominent electronic characteristics of carbon nano…
Self-isospectrality, mirror symmetry, and exotic nonlinear supersymmetry
Mikhail S. Plyushchay, Luis-Miguel Nieto
We study supersymmetry of a self-isospectral one-gap Poschl-Teller system in the light of a mirror symmetry that is based on spatial and shift reflections. The revealed exotic, par…
Supersymmetry between Jackiw-Nair and Dirac-Majorana anyons
Peter A. Horvathy, Mikhail S. Plyushchay, Mauricio Valenzuela
The Jackiw-Nair description of anyons combines spin-1 topologically massive fields with the discrete series representation of the Lorentz algebra, which has fractional spin. In the…
The origin of the hidden supersymmetry
Vit Jakubsky, Luis-Miguel Nieto, Mikhail S. Plyushchay
The hidden supersymmetry and related tri-supersymmetric structure of the free particle system, the Dirac delta potential problem and the Aharonov-Bohm effect (planar, bound state,…
Supersymmetries of the spin-1/2 particle in the field of magnetic vortex, and anyons
Francisco Correa, Horacio Falomir, Vit Jakubsky +1
The quantum nonrelativistic spin-1/2 planar systems in the presence of a perpendicular magnetic field are known to possess the N=2 supersymmetry. We consider such a system in the f…