Spin-Orbit Coupling

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Xiaoqun Wang - One of the best experts on this subject based on the ideXlab platform.

  • evolution of magnetic structure driven by synthetic spin orbit Coupling in a two component bose hubbard model
    Physical Review B, 2014
    Co-Authors: J Zhao, Jun Chang, Ping Zhang, Xiaoqun Wang, Fawei Zheng
    Abstract:

    We study the evolution of magnetic structures driven by a synthetic Spin-Orbit Coupling in a one-dimensional two-component Bose-Hubbard model. In addition to the Mott insulator-superfluid transition, in the Mott insulator phases we found a transition from a gapped ferromagnetic phase to a gapless chiral phase by increasing the strength of the Spin-Orbit Coupling. Further increasing the Spin-Orbit Coupling drives a transition from the gapless chiral phase to a gapped antiferromagnetic phase. These magnetic structures persist in superfluid phases. In particular, in the chiral Mott insulator and chiral superfluid phases, incommensurability is observed in characteristic correlation functions. These unconventional Mott insulator phase and superfluid phase demonstrate the different effects arising from the competition between the kinetic energy and the Spin-Orbit Coupling.

  • evolution of magnetic structure driven by synthetic spin orbit Coupling in a two component bose hubbard model
    Physical Review B, 2014
    Co-Authors: J W Zhao, Shijie Hu, Jun Chang, Ping Zhang, Fawei Zheng, Xiaoqun Wang
    Abstract:

    We study the evolution of magnetic structure driven by a synthetic Spin-Orbit Coupling in a one-dimensional two-component Bose-Hubbard model. In addition to the Mott insulator-superfluid transition, we found in Mott insulator phases a transition from a gapped ferromagnetic phase to a gapless chiral phase by increasing the strength of Spin-Orbit Coupling. Further increasing the Spin-Orbit Coupling drives a transition from the gapless chiral phase to a gapped antiferromagnetic phase. These magnetic structures persist in superfluid phases. In particular, in the chiral Mott insulator and chiral superfluid phases, incommensurability is observed in characteristic correlation functions. These unconventional Mott insulator phase and superfluid phase demonstrate the novel effects arising from the competition between the kinetic energy and the Spin-Orbit Coupling.

  • ferromagnetism in a two component bose hubbard model with synthetic spin orbit Coupling
    Physical Review A, 2014
    Co-Authors: J W Zhao, Shijie Hu, Jun Chang, Ping Zhang, Xiaoqun Wang
    Abstract:

    We study the effect of the synthetic Spin-Orbit Coupling in a two-component Bose-Hubbard model in one dimension by employing the density-matrix renormalization group method. A ferromagnetic long-range order emerges in both Mott-insulator and superfluid phases resulting from the spontaneous breaking of the Z(2) symmetry, when the Spin-Orbit Coupling term becomes comparable to the hopping kinetic energy and the intercomponent interaction is smaller than the intracomponent one as well. This effect is expected to be detectable with the present realization of the synthetic Spin-Orbit Coupling in experiments.

Oskar Vafek - One of the best experts on this subject based on the ideXlab platform.

  • space group symmetry spin orbit Coupling and the low energy effective hamiltonian for iron based superconductors
    Physical Review B, 2013
    Co-Authors: Vladimir Cvetkovic, Oskar Vafek
    Abstract:

    We construct the symmetry adapted low-energy effective Hamiltonian for the electronic states in the vicinity of the Fermi level in iron-based superconductors. We use Luttinger's method of invariants, expanding about $\ensuremath{\Gamma}$ and $M$ points in the Brillouin zone corresponding to a two-iron unit cell, and then matching the coefficients of the expansion to the five- and eight-band models. We then use the method of invariants to study the effects of the spin-density wave order parameters on the electronic spectrum, with and without Spin-Orbit Coupling included. Among the results of this analysis is the finding that the nodal spin-density wave is unstable once Spin-Orbit Coupling is included. Similar analysis is performed for the ${A}_{1g}$ spin singlet superconducting state. Without Spin-Orbit Coupling there is one pairing invariant near the $\ensuremath{\Gamma}$ point but two near the $M$ point. This leads to an isotropic spectral gap at the hole Fermi surface near $\ensuremath{\Gamma}$, but anisotropic near $M$. The relative values of these three parameters determine whether the superconducting state is ${s}_{++}$, ${s}_{+\ensuremath{-}}$, or nodal. Inclusion of Spin-Orbit Coupling leads to additional mixing of spin triplet pairing, with one additional pairing parameter near $\ensuremath{\Gamma}$ and one near $M$. This leads to an anisotropic spectral gap near both hole and electron Fermi surfaces, the latter no longer cross but rather split.

  • space group symmetry spin orbit Coupling and the low energy effective hamiltonian for iron based superconductors
    Physical Review B, 2013
    Co-Authors: Vladimir Cvetkovic, Oskar Vafek
    Abstract:

    We construct the symmetry adapted low energy effective Hamiltonian for the electronic states in the vicinity of the Fermi level in iron based superconductors. We use Luttinger's method of invariants, expanding about Gamma and M points in the Brillouin zone corresponding to two iron unit cell, and then matching the coefficients of the expansion to the 5- and 8-band models. We then use the method of invariants to study the effects of the spin-density wave order parameters on the electronic spectrum, with and without Spin-Orbit Coupling included. Among the results of this analysis is the finding that the nodal spin-density wave is unstable once Spin-Orbit Coupling is included. Similar analysis is performed for the A_{1g} spin singlet superconducting state. Without Spin-Orbit Coupling there is one pairing invariant near the Gamma point, but two near the M point. This leads to an isotropic spectral gap at the hole Fermi surface near Gamma, but anisotropic near M. The relative values of these three parameters determine whether the superconducting state is s_{++}, s_{+-}, or nodal. Inclusion of Spin-Orbit Coupling leads to additional mixing of spin triplet pairing, with one additional pairing parameter near Gamma and one near M. This leads to an anisotropic spectral gap near both hole and electron Fermi surfaces, the latter no longer cross, but rather split.

J W Zhao - One of the best experts on this subject based on the ideXlab platform.

  • evolution of magnetic structure driven by synthetic spin orbit Coupling in a two component bose hubbard model
    Physical Review B, 2014
    Co-Authors: J W Zhao, Shijie Hu, Jun Chang, Ping Zhang, Fawei Zheng, Xiaoqun Wang
    Abstract:

    We study the evolution of magnetic structure driven by a synthetic Spin-Orbit Coupling in a one-dimensional two-component Bose-Hubbard model. In addition to the Mott insulator-superfluid transition, we found in Mott insulator phases a transition from a gapped ferromagnetic phase to a gapless chiral phase by increasing the strength of Spin-Orbit Coupling. Further increasing the Spin-Orbit Coupling drives a transition from the gapless chiral phase to a gapped antiferromagnetic phase. These magnetic structures persist in superfluid phases. In particular, in the chiral Mott insulator and chiral superfluid phases, incommensurability is observed in characteristic correlation functions. These unconventional Mott insulator phase and superfluid phase demonstrate the novel effects arising from the competition between the kinetic energy and the Spin-Orbit Coupling.

  • ferromagnetism in a two component bose hubbard model with synthetic spin orbit Coupling
    Physical Review A, 2014
    Co-Authors: J W Zhao, Shijie Hu, Jun Chang, Ping Zhang, Xiaoqun Wang
    Abstract:

    We study the effect of the synthetic Spin-Orbit Coupling in a two-component Bose-Hubbard model in one dimension by employing the density-matrix renormalization group method. A ferromagnetic long-range order emerges in both Mott-insulator and superfluid phases resulting from the spontaneous breaking of the Z(2) symmetry, when the Spin-Orbit Coupling term becomes comparable to the hopping kinetic energy and the intercomponent interaction is smaller than the intracomponent one as well. This effect is expected to be detectable with the present realization of the synthetic Spin-Orbit Coupling in experiments.

Ping Zhang - One of the best experts on this subject based on the ideXlab platform.

  • evolution of magnetic structure driven by synthetic spin orbit Coupling in a two component bose hubbard model
    Physical Review B, 2014
    Co-Authors: J Zhao, Jun Chang, Ping Zhang, Xiaoqun Wang, Fawei Zheng
    Abstract:

    We study the evolution of magnetic structures driven by a synthetic Spin-Orbit Coupling in a one-dimensional two-component Bose-Hubbard model. In addition to the Mott insulator-superfluid transition, in the Mott insulator phases we found a transition from a gapped ferromagnetic phase to a gapless chiral phase by increasing the strength of the Spin-Orbit Coupling. Further increasing the Spin-Orbit Coupling drives a transition from the gapless chiral phase to a gapped antiferromagnetic phase. These magnetic structures persist in superfluid phases. In particular, in the chiral Mott insulator and chiral superfluid phases, incommensurability is observed in characteristic correlation functions. These unconventional Mott insulator phase and superfluid phase demonstrate the different effects arising from the competition between the kinetic energy and the Spin-Orbit Coupling.

  • evolution of magnetic structure driven by synthetic spin orbit Coupling in a two component bose hubbard model
    Physical Review B, 2014
    Co-Authors: J W Zhao, Shijie Hu, Jun Chang, Ping Zhang, Fawei Zheng, Xiaoqun Wang
    Abstract:

    We study the evolution of magnetic structure driven by a synthetic Spin-Orbit Coupling in a one-dimensional two-component Bose-Hubbard model. In addition to the Mott insulator-superfluid transition, we found in Mott insulator phases a transition from a gapped ferromagnetic phase to a gapless chiral phase by increasing the strength of Spin-Orbit Coupling. Further increasing the Spin-Orbit Coupling drives a transition from the gapless chiral phase to a gapped antiferromagnetic phase. These magnetic structures persist in superfluid phases. In particular, in the chiral Mott insulator and chiral superfluid phases, incommensurability is observed in characteristic correlation functions. These unconventional Mott insulator phase and superfluid phase demonstrate the novel effects arising from the competition between the kinetic energy and the Spin-Orbit Coupling.

  • ferromagnetism in a two component bose hubbard model with synthetic spin orbit Coupling
    Physical Review A, 2014
    Co-Authors: J W Zhao, Shijie Hu, Jun Chang, Ping Zhang, Xiaoqun Wang
    Abstract:

    We study the effect of the synthetic Spin-Orbit Coupling in a two-component Bose-Hubbard model in one dimension by employing the density-matrix renormalization group method. A ferromagnetic long-range order emerges in both Mott-insulator and superfluid phases resulting from the spontaneous breaking of the Z(2) symmetry, when the Spin-Orbit Coupling term becomes comparable to the hopping kinetic energy and the intercomponent interaction is smaller than the intracomponent one as well. This effect is expected to be detectable with the present realization of the synthetic Spin-Orbit Coupling in experiments.

Jun Chang - One of the best experts on this subject based on the ideXlab platform.

  • evolution of magnetic structure driven by synthetic spin orbit Coupling in a two component bose hubbard model
    Physical Review B, 2014
    Co-Authors: J Zhao, Jun Chang, Ping Zhang, Xiaoqun Wang, Fawei Zheng
    Abstract:

    We study the evolution of magnetic structures driven by a synthetic Spin-Orbit Coupling in a one-dimensional two-component Bose-Hubbard model. In addition to the Mott insulator-superfluid transition, in the Mott insulator phases we found a transition from a gapped ferromagnetic phase to a gapless chiral phase by increasing the strength of the Spin-Orbit Coupling. Further increasing the Spin-Orbit Coupling drives a transition from the gapless chiral phase to a gapped antiferromagnetic phase. These magnetic structures persist in superfluid phases. In particular, in the chiral Mott insulator and chiral superfluid phases, incommensurability is observed in characteristic correlation functions. These unconventional Mott insulator phase and superfluid phase demonstrate the different effects arising from the competition between the kinetic energy and the Spin-Orbit Coupling.

  • evolution of magnetic structure driven by synthetic spin orbit Coupling in a two component bose hubbard model
    Physical Review B, 2014
    Co-Authors: J W Zhao, Shijie Hu, Jun Chang, Ping Zhang, Fawei Zheng, Xiaoqun Wang
    Abstract:

    We study the evolution of magnetic structure driven by a synthetic Spin-Orbit Coupling in a one-dimensional two-component Bose-Hubbard model. In addition to the Mott insulator-superfluid transition, we found in Mott insulator phases a transition from a gapped ferromagnetic phase to a gapless chiral phase by increasing the strength of Spin-Orbit Coupling. Further increasing the Spin-Orbit Coupling drives a transition from the gapless chiral phase to a gapped antiferromagnetic phase. These magnetic structures persist in superfluid phases. In particular, in the chiral Mott insulator and chiral superfluid phases, incommensurability is observed in characteristic correlation functions. These unconventional Mott insulator phase and superfluid phase demonstrate the novel effects arising from the competition between the kinetic energy and the Spin-Orbit Coupling.

  • ferromagnetism in a two component bose hubbard model with synthetic spin orbit Coupling
    Physical Review A, 2014
    Co-Authors: J W Zhao, Shijie Hu, Jun Chang, Ping Zhang, Xiaoqun Wang
    Abstract:

    We study the effect of the synthetic Spin-Orbit Coupling in a two-component Bose-Hubbard model in one dimension by employing the density-matrix renormalization group method. A ferromagnetic long-range order emerges in both Mott-insulator and superfluid phases resulting from the spontaneous breaking of the Z(2) symmetry, when the Spin-Orbit Coupling term becomes comparable to the hopping kinetic energy and the intercomponent interaction is smaller than the intracomponent one as well. This effect is expected to be detectable with the present realization of the synthetic Spin-Orbit Coupling in experiments.