P. Cedraschi et M. Buttiker, SUPPRESSION OF LEVEL HYBRIDIZATION DUE TO COULOMB INTERACTIONS, Journal of physics. Condensed matter, 10(18), 1998, pp. 3985-4000
We investigate an ensemble of systems formed by a ring enclosing a mag
netic Bur. The ring is coupled to a side stub via a tunnelling junctio
n and via Coulomb interaction. We generalize the notion of level hybri
dization due to the hopping, which is naturally defined only for one-p
article problems, to the many-particle case, and we discuss the compet
ition between the level hybridization and the Coulomb interaction. It
is shown that strong enough Coulomb interactions can isolate the ring
from the stub, thereby increasing the persistent current. Our model de
scribes a strictly canonical system (the number of carriers is the sam
e for all ensemble members). Nevertheless for small Coulomb interactio
ns and a long side stub the model exhibits a persistent current typica
lly associated with a grand canonical ensemble of rings and only if th
e Coulomb interactions are sufficiently strong does the model exhibit
a persistent current which one expects from a canonical ensemble.