@article{13935, abstract = {{Recently, a new class of nonlinear systems was introduced, in which the self-trapping of fundamental and vortical localized modes in space of dimension D is supported by cubic self-repulsion with a strength growing as a function of the distance from the center, r, at any rate faster that rD. These systems support robust 2D and 3D modes which either do not exist or are unstable in other nonlinear systems. Here we demonstrate a possibility to create solitary vortices in this setting by applying a phase-imprinting torque to the ground state. Initially, a strong torque completely destroys the ground state. However, contrary to usual systems, where the destruction is irreversible, the present ones demonstrate a rapid restabilization and the creation of one or several shifted vortices orbiting the center. For the sake of comparison, we show analytically that, in the linear system with a 3D trapping potential, the action of a torque on the ground state is inefficient and creates only even-vorticity states with a small probability.}}, author = {{Driben, Rodislav and Meier, Torsten and Malomed, Boris A.}}, issn = {{2045-2322}}, journal = {{Scientific Reports}}, title = {{{Creation of vortices by torque in multidimensional media with inhomogeneous defocusing nonlinearity}}}, doi = {{10.1038/srep09420}}, volume = {{5}}, year = {{2015}}, } @article{22944, abstract = {{Recently, a new class of nonlinear systems was introduced, in which the self-trapping of fundamental and vortical localized modes in space of dimension D is supported by cubic self-repulsion with a strength growing as a function of the distance from the center, r, at any rate faster that rD. These systems support robust 2D and 3D modes which either do not exist or are unstable in other nonlinear systems. Here we demonstrate a possibility to create solitary vortices in this setting by applying a phase-imprinting torque to the ground state. Initially, a strong torque completely destroys the ground state. However, contrary to usual systems, where the destruction is irreversible, the present ones demonstrate a rapid restabilization and the creation of one or several shifted vortices orbiting the center. For the sake of comparison, we show analytically that, in the linear system with a 3D trapping potential, the action of a torque on the ground state is inefficient and creates only even-vorticity states with a small probability.}}, author = {{Driben, Rodislav and Meier, Torsten and Malomed, Boris A.}}, issn = {{2045-2322}}, journal = {{Scientific Reports}}, title = {{{Creation of vortices by torque in multidimensional media with inhomogeneous defocusing nonlinearity}}}, doi = {{10.1038/srep09420}}, volume = {{5}}, year = {{2015}}, } @article{43896, abstract = {{It is demonstrated that a two-component Bose-Einstein condensate (BEC) with all-repulsive inter-atomic interactions loaded into a radially symmetric harmonic trap supports robust non-coaxial vortices with approximately orthogonal vortex lines in each of the components. These cross vortices are excited from the linear modes by a sudden switch-on of the nonlinearity (via Feshbach resonance) and are characterized by persistent dynamical regimes of precession with nutation, resembling the motion of a rigid body. The obtained dynamics can be understood qualitatively on the basis of a simple mechanical model.}}, author = {{Meier, Torsten and Driben, R. and Konotop, V.V.}}, journal = {{arXiv preprint arXiv:1505.04113}}, title = {{{Non-coaxial vortices in two-component Bose-Einstein condensates: Persistent precession and nutation}}}, doi = {{10.48550/arXiv.1505.04113}}, year = {{2015}}, } @article{13922, author = {{Liu, Hong and Heinze, Dirk Florian and Thanh Duc, Huynh and Schumacher, Stefan and Meier, Torsten}}, issn = {{0953-8984}}, journal = {{Journal of Physics: Condensed Matter}}, number = {{44}}, title = {{{Curvature effects in the band structure of carbon nanotubes including spin–orbit coupling}}}, doi = {{10.1088/0953-8984/27/44/445501}}, volume = {{27}}, year = {{2015}}, } @article{22946, abstract = {{The Kane–Mele model was previously used to describe effective spin–orbit couplings (SOCs) in graphene. Here we extend this model and also incorporate curvature effects to analyze the combined influence of SOC and curvature on the band structure of carbon nanotubes (CNTs). The extended model then reproduces the chirality-dependent asymmetric electron-hole splitting for semiconducting CNTs and in the band structure for metallic CNTs shows an opening of the band gap and a change of the Fermi wave vector with spin. For chiral semiconducting CNTs with large chiral angle we show that the spin-splitting configuration of bands near the Fermi energy depends on the value of $\text{mod}(2n+m,3)$ .}}, author = {{Liu, Hong and Heinze, Dirk Florian and Thanh Duc, Huynh and Schumacher, Stefan and Meier, Torsten}}, issn = {{0953-8984}}, journal = {{Journal of Physics: Condensed Matter}}, number = {{44}}, title = {{{Curvature effects in the band structure of carbon nanotubes including spin–orbit coupling}}}, doi = {{10.1088/0953-8984/27/44/445501}}, volume = {{27}}, year = {{2015}}, } @article{13926, abstract = {{We predict a variety of composite quiescent and spinning two- and three-dimensional (2D and 3D) self-trapped modes in media with a repulsive nonlinearity whose local strength grows from center to periphery. These are 2D dipoles and quadrupoles, and 3D octupoles, as well as vortex–antivortex pairs and quadruplets. Unlike other multidimensional models, where such complex bound states either do not exist or are subject to strong instabilities, these modes are remarkably robust in the present setting. The results are obtained by means of numerical methods and analytically, using the Thomas–Fermi approximation. The predicted states may be realized in optical and matter-wave media with controllable cubic nonlinearities}}, author = {{Driben, Rodislav and Dror, Nir and Malomed, Boris A and Meier, Torsten}}, issn = {{1367-2630}}, journal = {{New Journal of Physics}}, title = {{{Multipoles and vortex multiplets in multidimensional media with inhomogeneous defocusing nonlinearity}}}, doi = {{10.1088/1367-2630/17/8/083043}}, volume = {{17}}, year = {{2015}}, } @article{13932, abstract = {{We predict a variety of composite quiescent and spinning two- and three-dimensional (2D and 3D) self-trapped modes in media with a repulsive nonlinearity whose local strength grows from center to periphery. These are 2D dipoles and quadrupoles, and 3D octupoles, as well as vortex–antivortex pairs and quadruplets. Unlike other multidimensional models, where such complex bound states either do not exist or are subject to strong instabilities, these modes are remarkably robust in the present setting. The results are obtained by means of numerical methods and analytically, using the Thomas–Fermi approximation. The predicted states may be realized in optical and matter-wave media with controllable cubic nonlinearities}}, author = {{Driben, Rodislav and Dror, Nir and Malomed, Boris A and Meier, Torsten}}, issn = {{1367-2630}}, journal = {{New Journal of Physics}}, title = {{{Multipoles and vortex multiplets in multidimensional media with inhomogeneous defocusing nonlinearity}}}, doi = {{10.1088/1367-2630/17/8/083043}}, volume = {{17}}, year = {{2015}}, } @article{22948, abstract = {{We predict a variety of composite quiescent and spinning two- and three-dimensional (2D and 3D) self-trapped modes in media with a repulsive nonlinearity whose local strength grows from center to periphery. These are 2D dipoles and quadrupoles, and 3D octupoles, as well as vortex–antivortex pairs and quadruplets. Unlike other multidimensional models, where such complex bound states either do not exist or are subject to strong instabilities, these modes are remarkably robust in the present setting. The results are obtained by means of numerical methods and analytically, using the Thomas–Fermi approximation. The predicted states may be realized in optical and matter-wave media with controllable cubic nonlinearities}}, author = {{Driben, Rodislav and Dror, Nir and Malomed, Boris A. and Meier, Torsten}}, issn = {{1367-2630}}, journal = {{New Journal of Physics}}, title = {{{Multipoles and vortex multiplets in multidimensional media with inhomogeneous defocusing nonlinearity}}}, doi = {{10.1088/1367-2630/17/8/083043}}, volume = {{17}}, year = {{2015}}, } @inproceedings{13927, author = {{Lange, C. and Schubert, O. and Hohenleutner, M. and Langer, F. and Baierl, S. and Maag, T. and Urbanek, B. and Edwards, E. R. J. and Woltersdorf, G. and Bougeard, D. and Huttner, U. and Golde, D. and Meier, Torsten and Kira, M. and Koch, S. W. and Huber, R.}}, booktitle = {{Nonlinear Frequency Generation and Conversion: Materials, Devices, and Applications XIV}}, editor = {{Vodopyanov, Konstantin L.}}, publisher = {{SPIE}}, title = {{{Sub-cycle control of multi-THz high-harmonic generation and all-coherent charge transport in bulk semiconductors}}}, doi = {{10.1117/12.2085101}}, volume = {{9347}}, year = {{2015}}, } @inproceedings{13933, author = {{Lange, C. and Schubert, O. and Hohenleutner, M. and Langer, F. and Baierl, S. and Maag, T. and Urbanek, B. and Edwards, E. R. J. and Woltersdorf, G. and Bougeard, D. and Huttner, U. and Golde, D. and Meier, Torsten and Kira, M. and Koch, S. W. and Huber, R.}}, booktitle = {{Nonlinear Frequency Generation and Conversion: Materials, Devices, and Applications XIV}}, editor = {{Vodopyanov, Konstantin L.}}, publisher = {{SPIE}}, title = {{{Sub-cycle control of multi-THz high-harmonic generation and all-coherent charge transport in bulk semiconductors}}}, doi = {{10.1117/12.2085101}}, volume = {{9347}}, year = {{2015}}, }