Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2006-10-07
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
5 pgaes, 4 figures
Scientific paper
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.
Bulgakov Evgeny N.
Pichugin Konstantin N.
Rotter Ingrid
Sadreev Almas. F.
No associations
LandOfFree
Bound states in the continuum in open Aharonov-Bohm rings does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Bound states in the continuum in open Aharonov-Bohm rings, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Bound states in the continuum in open Aharonov-Bohm rings will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-489554