Helical currents in metallic Rashba strips

Hamad, I. J.; Gazza, C. J.; Riera, J.

doi:10.1103/physrevb.93.205113

Cited by 8 publications

(22 citation statements)

References 77 publications

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“…2(a) that for the FM layer, the edge RHC in absolute value increases monotonically with λ/t in the range considered, with an initial shape which approximately follows the predicted quadratic dependence for systems in the presence of a boundary. 30 At λ/t ≈ 0.5, J ↑ (0) experiences a change of curvature. This behavior is also virtually independent of W except for the smallest width considered, W = 2.…”

Section: (D)mentioning

confidence: 99%

“…The Rashba helical currents (RHCs), are counterpropagating spin-up and spin-down electron currents, that is of hopping or spin-conserving nature, at each link at the lattice, 30 and they appear due to the RSOC acting on both x and y directions on the strip, in equilibrium and in the absence of any external electromagnetic field. It should be emphasized that they appear as a consequence of some boundary imposed on the system, or eventually in the presence of impurities.…”

Section: Rashba Helical Currentsmentioning

confidence: 99%

“…33 Their existence can be inferred at an effective level 30 or by the structure of the RSOC. 33,34 Of course, the total current along the strip is zero.…”

Section: Rashba Helical Currentsmentioning

confidence: 99%

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Longitudinal optical and spin Hall conductivities of Rashba conducting strips coupled to ferromagnetic and antiferromagnetic layers

Riera

2017

Phys. Rev. B

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A system composed of a conducting planar strip with Rashba spin-orbit coupling (RSOC), magnetically coupled to a layer of localized magnetic moments, at equilibrium, is studied within a microscopic Hamiltonian with numerical techniques at zero temperature in the clean limit. In particular, transport properties for the cases of ferromagnetic (FM) and antiferromagnetic (AFM) coupled layers are computed in linear response on strips of varying width. Some behaviors observed for these properties are consistent with the ones observed for the corresponding Rashba helical currents. The case of uncoupled Rashba strips is also studied for comparison. In the case of Rashba strips coupled to an AFM localized order, results for the longitudinal dc conductivity, for small strip widths, suggest the proximity to a metal-insulator transition. More interesting, in the proximity of this transition, and in general at intermediate values of the RSOC, it is observed a large spin-Hall conductivity that is two orders of magnitude larger than the one for the FM order for the same values of the RSOC and strip widths. There are clearly two different regimes for small and for large RSOC, which is also present in the behavior of Rashba helical currents. Different contributions to the optical and the spin-Hall conductivities, according to a new classification of inter-or intra-band origin proposed for planar strips in the clean limit, or coming from the hopping or spin-orbit terms of the Hamiltonian, are examined. Finally, the effects of different orientation of the coupled magnetic moments will be also studied.

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Section: (D)mentioning

confidence: 99%

Section: Rashba Helical Currentsmentioning

confidence: 99%

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Longitudinal optical and spin Hall conductivities of Rashba conducting strips coupled to ferromagnetic and antiferromagnetic layers

Riera

2017

Phys. Rev. B

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“…Since Eqs. (13) include double k-sums, these contributions to˜ (k) appear as single k-sums. Second, we consider the coefficients at k and k + Q, and obtain the angles θ k and φ k according to the normalized equatioñ…”

Section: Parent Hamiltonian Of the Baeriswyl Wave Functionmentioning

confidence: 99%

Variational study of the interacting, spinless Su–Schrieffer–Heeger model

Yahyavi

Saleem

Hetényi

2018

J. Phys.: Condens. Matter

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We study the phase diagram and the total polarization distribution of the Su-Schrieffer-Heeger model with nearest neighbor interaction in one dimension at half-filling. To obtain the ground state wave-function, we extend the Baeriswyl variational wave function to account for alternating hopping parameters. The ground state energies of the variational wave functions compare well to exact diagonalization results. For the case of uniform hopping for all bonds, where it is known that an ideal conductor to insulator transition takes place at finite interaction, we also find a transition at an interaction strength somewhat lower than the known value. The ideal conductor phase is a Fermi sea. The phase diagram in the whole parameter range shows a resemblance to the phase diagram of the Kane-Mele-Hubbard model. We also calculate the gauge invariant cumulants corresponding to the polarization (Zak phase) and use these to reconstruct the distribution of the polarization. We calculate the reconstructed polarization distribution along a path in parameter space which connects two points with opposite polarization in two ways. In one case we cross the metallic phase line, in the other, we go through only insulating states. In the former case, the average polarization changes discontinuously after passing through the metallic phase line, while in the latter the distribution 'walks across' smoothly from one polarization to its opposite. This state of affairs suggests that the correlation acts to break the chiral symmetry of the Su-Schrieffer-Heeger model, in the same way as it happens when a Rice-Mele onsite potential is turned on.

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“…The Rashba helical currents (RHC), with counterpropagating spin-up and spin-down electron currents at each link at the lattice [31]. appear due to the presence of RSOC in the longitudinal directions on a closed strip in equilibrium, that is in the absence of any external electromagnetic field.…”

Section: Rashba Helical Currentsmentioning

confidence: 99%

Transport properties of Rashba conducting strips coupled to magnetic moments with spiral order

Riera

2018

Phys. Rev. B

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Magnetic and transport properties of a conducting layer with Rashba spin-orbit coupling (RSOC) magnetically coupled to a layer of localized magnetic moments are studied on strips of varying width. The localized moments are free to rotate and they acquire an order that results from the competition between the magnetic exchange energy and the kinetic energy of the conduction electrons. By minimizing the total Hamiltonian within the manifold of variational spiral orders of the magnetic moments, the phase diagram in the space of the interlayer exchange J sd , and the ratio of the Rashba coupling to the hopping integral, λ/t was determined. Two main phases with longitudinal spiral order were found, one at large interlayer coupling J sd with uniform order in the transversal direction, and the other at small J sd showing a transversal staggered order. This staggered spiral order is unstable against an antiferromagnetic (AFM) for large values of λ/t. In both spiral phases, the longitudinal spiral momentum that departs from the expected linear dependence with the RSOC for large values of λ/t. Then, various transport properties, including the longitudinal Drude weight and the spin Hall conductivity, inside these two phases are computed in linear response, and their behavior is compared with the ones for the more well-studied cases of a fixed ferromagnetic (FM) and AFM localized magnetic orders.

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Helical currents in metallic Rashba strips

Cited by 8 publications

References 77 publications

Longitudinal optical and spin Hall conductivities of Rashba conducting strips coupled to ferromagnetic and antiferromagnetic layers

Longitudinal optical and spin Hall conductivities of Rashba conducting strips coupled to ferromagnetic and antiferromagnetic layers

Variational study of the interacting, spinless Su–Schrieffer–Heeger model

Transport properties of Rashba conducting strips coupled to magnetic moments with spiral order

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