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      Ferromagnetic to antiferromagnetic transition of one-dimensional spinor Bose gases with spin-orbit coupling

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          Abstract

          We have analytically solved one-dimensional interacting two-component bosonic gases with spin-orbit (SO) coupling by the Bethe-ansatz method. Through a gauge transformation, the effect of SO coupling is incorporated into a spin-dependent twisted boundary condition. Our result shows that the SO coupling can influence the eigenenergy in a periodical pattern. The interplay between interaction and SO coupling may induce the energy level crossing for the ground state, which leads to a transition from the ferromagnetic to antiferromagnetic state.

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          Topological Insulators

          , (2011)
          Topological insulators are electronic materials that have a bulk band gap like an ordinary insulator, but have protected conducting states on their edge or surface. The 2D topological insulator is a quantum spin Hall insulator, which is a close cousin of the integer quantum Hall state. A 3D topological insulator supports novel spin polarized 2D Dirac fermions on its surface. In this Colloquium article we will review the theoretical foundation for these electronic states and describe recent experiments in which their signatures have been observed. We will describe transport experiments on HgCdTe quantum wells that demonstrate the existence of the edge states predicted for the quantum spin Hall insulator. We will then discuss experiments on Bi_{1-x}Sb_x, Bi_2 Se_3, Bi_2 Te_3 and Sb_2 Te_3 that establish these materials as 3D topological insulators and directly probe the topology of their surface states. We will then describe exotic states that can occur at the surface of a 3D topological insulator due to an induced energy gap. A magnetic gap leads to a novel quantum Hall state that gives rise to a topological magnetoelectric effect. A superconducting energy gap leads to a state that supports Majorana fermions, and may provide a new venue for realizing proposals for topological quantum computation. We will close by discussing prospects for observing these exotic states, a well as other potential device applications of topological insulators.
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            Theory of Ferromagnetism and the Ordering of Electronic Energy Levels

            Elliott Lieb, Daniel Mattis (1962)
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              Twisted boundary conditions and effective mass in Heisenberg-Ising and Hubbard rings

              B. Sriram Shastry, Bill Sutherland (1990)
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                Author and article information

                Journal
                Publication date Created: 27 February 2013
                Publication date Updated: 2013-09-18
                Article
                DOI: 10.1140/epjd/e2013-40130-6
                ArXiV ID: 1302.6901
                SO-VID: 902086bb-05e9-4762-9881-468d2ef67a06
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                http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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                Journal reference Eur. Phys. J. D 67, 166 (2013)
                Comments 6 pages, 4 figures
                Categories cond-mat.quant-gas quant-ph

                ScienceOpen disciplines: Quantum physics & Field theory,Quantum gases & Cold atoms
                Data availability:
                ScienceOpen disciplines: Quantum physics & Field theory, Quantum gases & Cold atoms

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