https://doi.org/10.1140/epjb/e2003-00160-1
Transmittance anomalies of a ring with lead-positional asymmetry
1
Institute for Theoretical Physics, University of Regensburg, 93040 Regensburg, Germany
2
Max-Planck-Institut für Physik komplexer Systeme,
Nöthnitzer Strasse 38, 01187 Dresden, Germany
Corresponding author: a juyeon.yi@physik.uni-regensburg.de
Received:
7
June
2002
Revised:
11
December
2002
Published online:
4
June
2003
We examine the anomalous behavior of the transmittance through a
one-dimensional ring having two branches of different lengths, as determined by
the lead positions. Jumps in the transmittance phase are occurring in
correspondence to both (a) zeros in the transmission at the eigenstates of the
isolated ring and (b) destructive interference events. It is also found that
when the ratio of the branch lengths is given by p/q satisfying 
, the two characteristic zeros merge into a single point and the
transmittance phase becomes identical to the so-called Friedel phase.
PACS: 03.65.Bz – Foundations, theory of measurement, miscellaneous theories (including Aharonov-Bohm effect, Bell inequalities, Berry's phase) / 11.30.Er – Charge conjugation, parity, time reversal, and other discrete symmetries / 03.65.-w – Quantum mechanics / 05.60.-k – Transport processes
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2003
