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| VOLUME 84 | ISSUE 8 |
PAGE 508
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| Bound states in the continuum in open Aharonov-Bohm rings |
E. N. Bulgakov, K. N. Pichugin, A. F. Sadreev, I. Rotter+
Institute of Physics RAS, 660036 Krasnoyarsk, Russia
+Max-Planck-Institut für Physik komplexer Systeme, D-01187 Dresden, Germany
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PACS: 03.65.-w, 05.60.Gg, 72.20.Dp
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Abstract
Using formalism of effective Hamiltonian we consider bound states
in continuum (BIC). They are those eigen states of non-hermitian
effective Hamiltonian which have real eigen values. It is shown
that BICs are orthogonal to open channels of the leads, i.e.
disconnected from the continuum. As a result BICs can be
superposed to transport solution with arbitrary coefficient and
exist in propagation band. The one-dimensional Aharonov-Bohm rings
that are opened by attaching single-channel leads to them allow
exact consideration of BICs. BICs occur at discrete values of
energy and magnetic flux however it's realization strongly depend
on a way to the BIC's point.
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