Phase transition of the Aharonov-Bohm periodicity in metallic cylinders

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Abstract

A scattering formalism is developed for a random potential on a cylinder with flux along its axis. Simulations show the possibility of a phase transition in the dependence of an ensemble-averaged conductance: The periodicity in changes from h/2e to h/e as the potential is weakened. The critical potential decreases as the sample size increases such that the zero-flux conductivity is 1/4150e2/h.

Original languageEnglish
Pages (from-to)423-426
Number of pages4
JournalPhysical Review B
Volume35
Issue number1
DOIs
StatePublished - 1 Jan 1987

ASJC Scopus subject areas

  • Condensed Matter Physics

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