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Zero modes in a periodic system of Aharonov-Bohm solenoids
Authors:V. A. Geyler  E. N. Grishanov
Affiliation:(1) Mordovian State University, ul. Bol’shevistkaya 68, Saransk, 430000, Russia
Abstract:The existence of infinitely degenerate zero modes is proved for a quantum-mechanical two-dimensional charged particle with spin 1/2 moving in the field of an infinite system of Aharonov-Bohm solenoids. The condition for appearance of these modes is found and their explicit form is obtained.
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