DIMENSIONAL REDUCTION OF A GENERALIZED FLUX PROBLEM

@article{Moroz1992DIMENSIONALRO,
  title={DIMENSIONAL REDUCTION OF A GENERALIZED FLUX PROBLEM},
  author={Alexander Moroz},
  journal={Modern Physics Letters B},
  year={1992},
  volume={06},
  pages={717-727}
}
  • A. Moroz
  • Published 20 May 1992
  • Physics
  • Modern Physics Letters B
A generalized flux problem with Abelian and non-Abelian fluxes is considered. In the Abelian case we shall show that the generalized flux problem for tight-binding models of noninteracting electrons on either 2n- or (2n + 1)-dimensional lattice can always be reduced to an n-dimensional hopping problem. A residual freedom in this reduction enables one to identify equivalence classes of hopping Hamiltonians which have the same spectrum. In the non-Abelian case, the reduction is not possible in…