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dc.contributor.authorKeçeli, Muraten_US
dc.contributor.authorÖktel, M. Özgüren_US
dc.date.accessioned2016-02-08T10:17:40Z
dc.date.available2016-02-08T10:17:40Z
dc.date.issued2006en_US
dc.identifier.issn1300-0101
dc.identifier.urihttp://hdl.handle.net/11693/23695
dc.description.abstractWe study Tkachenko modes of the square vortex lattice of a two-component Bose-Einstein condensate (BEC) in the mean-field quantum Hall regime, considering the coupling of these modes with density excitations. We derive the hydrodynamic equations and obtain the dispersion relations of the excitation modes. We find that there are two types of excitations, gapped inertial modes and gapless Tkachenko modes. These modes have two branches which we call acoustic and optical modes in analogy with phonons. The former has quadratic while the latter has linear wave-number dependence in both inertial and Tkachenko modes. Acoustic Tkachenko mode is found to be anisotropic while the other three modes are isotropic. The anisotropy of the acoustic Tkachenko mode reflects the four-fold symmetry of the square lattice.en_US
dc.language.isoEnglishen_US
dc.source.titleTurkish Journal of Physicsen_US
dc.subjectDispersionsen_US
dc.subjectElectric excitationen_US
dc.subjectHall effecten_US
dc.subjectHydrodynamicsen_US
dc.subjectPhononsen_US
dc.subjectQuantum theoryen_US
dc.subjectBose-einstein condensateen_US
dc.subjectHydrodynamic equationsen_US
dc.subjectTkachenko modesen_US
dc.subjectVortex latticeen_US
dc.subjectLattice constantsen_US
dc.titleTkachenko modes of the square vortex lattice in a two-component Bose-Einstein condensateen_US
dc.typeArticleen_US
dc.departmentDepartment of Physicsen_US
dc.citation.spage245en_US
dc.citation.epage252en_US
dc.citation.volumeNumber30en_US
dc.citation.issueNumber4en_US


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