Quantum Percolation in Magnetic Fields | Zendy

Yigal Meir | Zendy; Am Aharony | Zendy; A. B. Harris | Zendy

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Quantum Percolation in Magnetic Fields

Author(s) -

Yigal Meir,

Am Aharony,

A. B. Harris

Publication year - 1986

Publication title -

physical review letters

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 3.688

H-Index - 673

eISSN - 1079-7114

pISSN - 0031-9007

DOI - 10.1103/physrevlett.56.976

Subject(s) - physics , condensed matter physics , inverse , percolation threshold , magnetic field , lattice (music) , quantum , electron , wave function , magnetic flux quantum , percolation (cognitive psychology) , magnetic flux , quantum mechanics , electrical resistivity and conductivity , mathematics , neuroscience , biology , geometry , acoustics

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 $d=2$.

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