Quantum percolation in magnetic fields Academic Article uri icon


  • A generalized average inverse participation ratio, for the one-electron wave functions of a dilute tight-binding model on a $d$ dimensional hypercubic lattice, is studied at finite magnetic fields. Extended wave functions appear above a quantum threshold bond concentration, ${p}_{q}$. This threshold decreases at small magnetic fields, and shows a periodic dependence on the magnetic flux through a basic plaquette, with period ${\ensuremath{\varphi}}_{0}=\ensuremath{\hbar}\frac{c}{e}$. Extended states appear and disappear periodically even at $d=2$.

publication date

  • January 1, 1986