Pairing in charged-neutral fermion mixtures under an artificial magnetic field
Author
Ünal, Fatma Nur
Advisor
Oktel, Mehmet Özgür
Date
2012Publisher
Bilkent University
Language
English
Type
ThesisItem Usage Stats
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Abstract
Bose-Einstein condensations (BEC), pairing behaviour, vortex formations in superconductivity
and superfluidity are just a few examples of fascinating features
of ultracold gases. In this thesis, we study charged-neutral cold atom mixtures
which are obtained by placing a neutral mixture under an artificial magnetic
field coupling only one of the components. We begin with two distinguishable
(charged-neutral) particles on a ring trap. Charged particle gains angular momentum
due to a magnetic field along the axis of the ring and we see that there
is a big angular momentum transfer to neutral particle in orders of ¯h. This work
is set forth to guide us in the many body problem of vortex transformation in
charged-neutral superfluid mixtures. In the main part of the thesis, we examine
charged-neutral fermion mixtures. Thanks to artificial magnetic fields, Cooper
pairs whose only one component coupling to magnetic field can be created now.
We calculate the gap equation for this system and solve for the critical temperature.
We show that critical temperature decreases for the increasing magnetic
field.
Keywords
Pairingsuperconductivity
charged-neutral mixture
artificial magnetic field
pairing susceptibility
gap equation