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Transmission, scattering phases, and persistent currents in open rings
J. Yi , G. Cuniberti, M. Porto
The 19th General Conference of the Condensed Matter Division of the European Physical Society
2002.04.7-11; Brighton, U.K.
| We examine transmission zeros and phases in
transport through an one-dimensional ring where
inversion-symmetry about a transmission axis is broken
by different length of branches. It is found that
zeros at eigenstates lead to \pi-jump in the Friedel
phase, leading discrete set of delta functions in the
density of states (DOS), while those due to destructive
interference gaurantee continuity of DOS. It is also
found that when the ratio of the upper-branch length to
the lower on is given by \gamma= p/q satisfying
p+q=0 (mod 4), there exist double zero points in
transmittance, and further they are accompanied by
2\pi-jump in a transmittance phase, making the
transmittance phase identical to the Friedel phase.
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Prof. Dr. Gianaurelio Cuniberti
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TU Dresden
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