This article is cited in 14 papers

METHODS OF THEORETICAL PHYSICS

Zero modes in a periodic system of Aharonov—Bohm solenoids

V. A. Geiler, E. N. Grishanov

Ogarev Mordovia State University

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.

PACS: 02.30.Tb, 72.15.Rn

Received: 21.02.2002

 English version: Journal of Experimental and Theoretical Physics Letters, 2002, 75:7, 354–356

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