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      Pairing in charged-neutral fermion mixtures under an artificial magnetic field

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      Author
      Ünal, Fatma Nur
      Advisor
      Oktel, Mehmet Özgür
      Date
      2012
      Publisher
      Bilkent University
      Language
      English
      Type
      Thesis
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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
      Pairing
      superconductivity
      charged-neutral mixture
      artificial magnetic field
      pairing susceptibility
      gap equation
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      http://hdl.handle.net/11693/15780
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      • Dept. of Physics - Master's degree 160
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