Hdl Handle:
http://hdl.handle.net/10675.2/602104
Title:
Studying the Interplay between Superconductivity and Anti-Ferromag-Netism through Bose-Fermi Mixtures on Optical Lattices
Authors:
Brackett, Jeremy
Abstract:
Motivated by the recent experimental progress with ultra-cold atoms, we investigate the physics of a Bose-Fermi mixture on a two dimensional optical lattice. We treat the system parameters such that 2-component fermions are in a deep external trap and weakly interacting bosons are in a shallow external trap, however both of these atoms are subjected to the same optical lattice. In this parameter regime, the bosons form a Bose-Einstein condensate and mediate an attractive interaction between fermions through low energy Bose excitations. As a result, the dynamics of the fermions can be described by the single band Hubbard model that involves on-site repulsive interaction and elementary excitation mediated attractive interactions. Using a mean field theory, we derive an effective action up to the quartic order in both d-wave superconducting and anti-ferromagnetic order parameters. Using this Landau energy functional, we then discuss the phase transition and study the competition and/or cooperation of anti-ferromagnetism and d-wave superconductivity in the system.
Affiliation:
Department of Chemistry and Physics
Issue Date:
Mar-2016
URI:
http://hdl.handle.net/10675.2/602104
Type:
Presentation
Language:
en_US
Description:
Presentation given at the 17th Annual Phi Kappa Phi Student Research and Fine Arts Conference
Appears in Collections:
17th Annual Phi Kappa Phi Student Research and Fine Arts Conference: Oral Symposia I

Full metadata record

DC FieldValue Language
dc.contributor.authorBrackett, Jeremyen
dc.date.accessioned2016-03-17T19:00:20Zen
dc.date.available2016-03-17T19:00:20Zen
dc.date.issued2016-03en
dc.identifier.urihttp://hdl.handle.net/10675.2/602104en
dc.descriptionPresentation given at the 17th Annual Phi Kappa Phi Student Research and Fine Arts Conferenceen
dc.description.abstractMotivated by the recent experimental progress with ultra-cold atoms, we investigate the physics of a Bose-Fermi mixture on a two dimensional optical lattice. We treat the system parameters such that 2-component fermions are in a deep external trap and weakly interacting bosons are in a shallow external trap, however both of these atoms are subjected to the same optical lattice. In this parameter regime, the bosons form a Bose-Einstein condensate and mediate an attractive interaction between fermions through low energy Bose excitations. As a result, the dynamics of the fermions can be described by the single band Hubbard model that involves on-site repulsive interaction and elementary excitation mediated attractive interactions. Using a mean field theory, we derive an effective action up to the quartic order in both d-wave superconducting and anti-ferromagnetic order parameters. Using this Landau energy functional, we then discuss the phase transition and study the competition and/or cooperation of anti-ferromagnetism and d-wave superconductivity in the system.en
dc.language.isoen_USen
dc.subjectAtomsen
dc.subjectFermionsen
dc.subjectPhase Transitionen
dc.subjectAnti-ferromagnetismen
dc.titleStudying the Interplay between Superconductivity and Anti-Ferromag-Netism through Bose-Fermi Mixtures on Optical Latticesen_US
dc.typePresentationen
dc.contributor.departmentDepartment of Chemistry and Physicsen
dc.description.advisorDe Silva, Thejaen
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