FLUX DEPENDENCE OF PERSISTENT CURRENT IN A MESOSCOPIC DISORDERED TIGHT BINDING RING

摘要: We reconsider the study of persistent currents in a disordered one-dimensional ring threaded by magnetic flux ϕ, using he one-band tight-binding model for N-sites with random site energies. The secular equation eigenenergies expressed terms transfer matrices representation is solved exactly to second order perturbation theory weak disorder and fluxes differing from half-integer multiples quantum ϕ0=hc/e. From equilibrium associated one-electron eigenstates we derive closed analytic expressions averaged current even odd numbers, Ne, electrons ground state. Explicit discussion half-filled band case confirms that periodic period ϕ0, as absence disorder, its amplitude generally suppressed effect disorder. In comparison previous results, based on an approximate analysis equation, ...