Rashba spin-orbit coupling in the Kane-Mele-Hubbard model

Laubach, Manuel; Reuther, Johannes; Thomale, Ronny; Rachel, Stephan

doi:10.1103/physrevb.90.165136

Cited by 88 publications

(133 citation statements)

References 94 publications

Supporting

Mentioning

118

Contrasting

Order By: Relevance

“…14(a), and with Λ R = 2Λ SO = 0.2t. As was shown previously for the case of a cylinder 49 , the inclusion of a Rashba spin-orbit interaction pushes the lower edge of the spin-orbit gap to higher energies. conclusion is supported by the form of the spin polarization and current patterns carried by the states at energies E = ±0.074t, indicated by the two blue arrows in Fig.…”

Section: Rashba Spin-orbit Interactionsupporting

confidence: 69%

Effects of defects and dephasing on charge and spin currents in two-dimensional topological insulators

Dyke

Morr

2017

Phys. Rev. B

View full text Add to dashboard Cite

Using the non-equilibrium Keldysh Green's function formalism, we investigate the effect of defects on the electronic structure and transport properties of two-dimensional topological insulators (TI).We demonstrate how the spatial flow of charge changes between the topologically protected edge and bulk states and show that elastically and inelastically scattering defects that preserve the time reversal symmetry of the TI lead to qualitatively different effects on the TI's local electronic structure and its transport properties. Moreover, we show that the recently predicted ability to create highly spin-polarized currents by breaking the time-reversal symmetry of the TI via magnetic defects [Phys. Rev. B 93, 081401 (2016)] is robust against the inclusion of a Rashba spin-orbit interaction and the effects of dephasing, and remains unaffected by changes over a wide range of the TI's parameters. We discuss how the sign of the induced spin currents changes under symmetry operations, such as reversal of bias and gate voltages, or spatial reflections. Finally, we show that the insight into the interplay between topology and symmetry of the magnetic defects can be employed for the creation of novel quantum phenomena, such as highly localized magnetic fields inside the TI.

show abstract

Section: Rashba Spin-orbit Interactionsupporting

confidence: 69%

Effects of defects and dephasing on charge and spin currents in two-dimensional topological insulators

Dyke

Morr

2017

Phys. Rev. B

View full text Add to dashboard Cite

show abstract

“…We recently found, however, that this effect becomes important for the Hubbard model on the honeycomb lattice with small and intermediate correlations 58 , which is also in line with the previous studies on the square lattice 59,60 . In the current study, this is the regime where the MIT happens, and the NMI phase emerges in proximity to a metallic domain.…”

Section: Variation Of Single-particle Hoppingsupporting

confidence: 68%

Phase diagram of the Hubbard model on the anisotropic triangular lattice

et al. 2015

Self Cite

View full text Add to dashboard Cite

We investigate the Hubbard model on the anisotropic triangular lattice as a suggested effective description of the Mott phase in various triangular organic compounds. Employing the variational cluster approximation (VCA) and the ladder dual-fermion approach (LDFA) as complementary methods to adequately treat the zero temperature and the finite temperature domain, we obtain a consistent picture of the phase diagram as a function of anisotropy and interaction strength. The metal-insulator transition substantially depends on the anisotropy, so does the nature of magnetism and the emergence of a non-magnetic insulating phase. We further find that geometric anisotropy significantly influences the thermodynamics of the system. For increased frustration induced by anisotropy, the entropy of the system increases with interaction strength, opening the possibility of adiabatically cooling a frustrated system by an enhancement of electronic correlations.

show abstract

“…The study of the bulk properties of the Kane-Mele-Hubbard model has attracted considerable attention [96][97][98][99] . Here we focus on the competition between SOC and magnetic order at the edges 40,42,100 .…”

Section: A Kane-mele-hubbard Modelmentioning

confidence: 99%

Edge states in graphene-like systems

2015

View full text Add to dashboard Cite

The edges of graphene and graphene like systems can host localized states with evanescent wave function with properties radically different from those of the Dirac electrons in bulk. This happens in a variety of situations, that are reviewed here. First, zigzag edges host a set of localized non dispersive state at the Dirac energy. At half filling, it is expected that these states are prone to ferromagnetic instability, causing a very interesting type of edge ferromagnetism. Second, graphene under the influence of external perturbations can host a variety of topological insulating phases, including the conventional Quantum Hall effect, the Quantum Anomalous Hall (QAH) and the Quantum Spin Hall phase, in all of which phases conduction can only take place through topologically protected edge states. Here we provide an unified vision of the properties of all these edge states, examined under the light of the same one orbital tight-binding model. We consider the combined action of interactions, spin orbit coupling and magnetic field, which produces a wealth of different physical phenomena. We briefly address what has been actually observed experimentally.

show abstract

Rashba spin-orbit coupling in the Kane-Mele-Hubbard model

Cited by 88 publications

References 94 publications

Effects of defects and dephasing on charge and spin currents in two-dimensional topological insulators

Effects of defects and dephasing on charge and spin currents in two-dimensional topological insulators

Phase diagram of the Hubbard model on the anisotropic triangular lattice

Edge states in graphene-like systems

Contact Info

Product

Resources

About