Spectrum of the Dirac Hamiltonian with the mass hedgehog in arbitrary dimension

Article

关键词: VORTEX;    SUPERSYMMETRY;    BREAKING;    SYSTEM;   

DOI  :  10.1103/PhysRevB.83.125412

来源: SCIE

【 摘 要 】

It is shown that the square of the Dirac Hamiltonian with the isotropic mass-hedgehog potential in d dimensions is the number operator of fictitious bosons and fermions over d quantum states. This result allows one to obtain the complete spectrum and degeneracies of the Dirac Hamiltonian with the hedgehog mass configuration in any dimension. The result pertains to low-energy states in the core of a general superconducting or insulating vortex in graphene in two dimensions, and in the superconducting vortex at the topological trivial insulator interface in three dimensions, for example. The spectrum in d = 2 is also understood in terms of the underlying accidental SU(2) symmetry and the supersymmetry of the Hamiltonian.

【 授权许可】

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