Structure of a Vortex in the t-J Model

Naomi S. Ginsberg, Joachim Brand, Lene Vestergaard Hau

We present the experimental discovery of compound structures comprising solitons and vortex rings in Bose-Einstein condensates. We examine both their creation via soliton-vortex collisions and their subsequent development, which is largely governed by the dynamics of interacting vortex rings. A theoretical model in three-dimensional cylindrical symmetry is also presented.

Masao Ogata, Akihiro Himeda, Hiroki Tsuchiura +2 more

Żaneta Śledź, Marcin Mierzejewski, Maciej M. Maśka

We investigate the vortex structure in the Penson-Kolb model with and without impurities.We focus on the consequences arising from the non-local field-dependent pairing interaction for the vortex profile, current distribution, and the local density of states.

Akihiro Himeda, Yukio Tanaka, Masao Ogata

Akihiro Himeda, Masao Ogata, Yukio Tanaka +1 more

Han Ma

Motivated by recent numerical work, we use the boson-vortex duality to study the possible phases of the frustrated spin-$\frac{1}{2}\phantom{\rule{4pt}{0ex}}{J}_{1}\text{\ensuremath{-}}{J}_{2}$ XXZ models on the honeycomb lattice. By condensing the vortices, we obtain various gapped phases that either break certain lattice symmetry or preserve all the symmetries. The gapped phases breaking lattice symmetries occur when the vortex band structure has two minima. Condensing one of the two vortex flavors leads to an Ising ordered phase, while condensing both vortex flavors gives rise to a valence-bond-solid state. Both of those phases have been observed in the numerical studies of the ${J}_{1}\text{\ensuremath{-}}{J}_{2}$ XXZ honeycomb model. Furthermore, by tuning the band structure of vortex and condensing it at the $\mathrm{\ensuremath{\Gamma}}$ point, we obtain a featureless paramagnet. But the precise nature of this featureless state is still unclear and needs future study.