Metal-insulator transition in an aperiodic ladder network: an exact result

Details Metal-insulator transition in an aperiodic ladder network: an exact result Metal-insulator transition in an aperiodic ladder network: an exact result

2008-01-17

arxiv.org/abs/0801.2670v4

Physical Review Letters, Volume 101, Page 076803 (2008)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 3 figures

Scientific paper

10.1103/PhysRevLett.101.076803

We show, in a completely analytical way, that a tight binding ladder network composed of atomic sites with on-site potentials distributed according to the quasiperiodic Aubry model can exhibit a metal-insulator transition at multiple values of the Fermi energy. For specific values of the first and second neighbor electron hopping, the result is obtained exactly. With a more general model, we calculate the two-terminal conductance numerically. The numerical results corroborate the analytical findings and yield a richer variety of spectrum showing multiple mobility edges.

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