Fractional quantum numbers, complex orbifolds and noncommutative geometry
Fractional quantum numbers, complex orbifolds and noncommutative geometry
This paper studies the conductance on the universal homology covering space $Z$ of 2D orbifolds in a strong magnetic field, thereby removing the integrality constraint on the magnetic field in earlier works in the literature. We consider a natural Landau Hamiltonian on $Z$ and show that its low-lying spectrum consists …