Spectrum of the Dirac Hamiltonian with the mass-hedgehog in arbitrary dimension - Condensed Matter > Mesoscale and Nanoscale PhysicsReport as inadecuate




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Abstract: It is shown that the square of the Dirac Hamiltonian with the isotropicmass-hedgehog potential in d dimensions is the number operator of fictitiousbosons and fermions over d quantum states. This result allows one to obtain thecomplete spectrum and degeneracies of the Dirac Hamiltonian with the hedgehogmass configuration in any dimension. The result pertains to low-energy statesin the core of a general superconducting or insulating vortex in graphene intwo dimensions, and in the superconducting vortex at the topological - trivialinsulator interface in three dimensions, for example. The spectrum in d=2 isalso understood in terms of the underlying accidental SU2 symmetry and thesupersymmetry of the Hamiltonian.



Author: Igor F. Herbut, Chi-Ken Lu

Source: https://arxiv.org/







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