Zero-conductance resonances and spin filtering effects in ring conductors subject to Rashba coupling

Citro, Roberta; Romeo, Francesco; Marinaro, M.

doi:10.1103/physrevb.74.115329

Cited by 73 publications

(73 citation statements)

References 43 publications

(59 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…12 Indeed, several groups proposed spin filters based on a single loop connected to two terminals by single-channel 1D leads. [13][14][15][16][17] If time-reversal symmetry (TRS) is conserved in such networks and the scattering matrix of the device is unitary (meaning that the number of particles scattered at a certain energy is conserved), then the 2×2 transmission and reflection matrices (in spin space) must have degenerate eigenvalues. 18,19 As a result, all directions of the spin polarization are equally probable, and there cannot be any spin filtering.…”

Section: Introductionmentioning

confidence: 99%

“…by adding a magnetic field. [13][14][15][16][17] Alternatively, one may increase the number of terminals connected to the device and thus generate a finite spin polarization without exploiting ferromagnetic electrodes and without applying magnetic fields. Allelectrical single-loop spin filters based on three-terminal devices have been studied before; [20][21][22][23][24] in particular, Földi et al 23 demonstrated that a symmetric-ring interferometer attached to one source and two drain terminals can act as a spin beam-splitter, which polarizes the electrons in the output leads along tunable directions.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Spin filtering in all-electrical three-terminal interferometers

et al. 2017

View full text Add to dashboard Cite

Unlike the two-terminal device, in which the time-reversal invariant spin-orbit interaction alone cannot polarize the spins, such a polarization can be generated when electrons from one source reservoir flow into two (or more) separate drain reservoirs. We present analytical solutions for two examples. First, we demonstrate that the electrons transmitted through a "diamond" interferometer into two drains can be simultaneously fully spin-polarized along different tunable directions, even when the two arms of the interferometer are not identical. Second, we show that a single helical molecule attached to more than one drain can induce a significant spin polarization in electrons passing through it. The average polarization remains non-zero even when the electrons outgoing into separate leads are eventually mixed incoherently into one absorbing reservoir. This may explain recent experiments on spin selectivity of certain helical-chiral molecules.

show abstract

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Spin filtering in all-electrical three-terminal interferometers

et al. 2017

View full text Add to dashboard Cite

show abstract

“…Indeed, many papers proposed a single circular loop interferometer which would be sensitive to this phase and/or to its competition with the AB phase. 32,[43][44][45][46][47][48][49][50][51] The loop is connected to two leads, and the destructive interference of the waves in the two paths can sometimes block electrons with one polarization, and fully transmit electrons with the opposite polarization. Some papers also suggested to connect the loop to three leads, as in a Stern-Gerlach experiment.…”

Section: Introductionmentioning

confidence: 99%

Filtering and analyzing mobile qubit information via Rashba–Dresselhaus–Aharonov–Bohm interferometers

et al. 2011

View full text Add to dashboard Cite

Spin-1/2 electrons are scattered through one or two diamond-like loops, made of quantum dots connected by one-dimensional wires, and subject to both an Aharonov-Bohm flux and (Rashba and Dresselhaus) spin-orbit interactions. With some symmetry between the two branches of each diamond, and with appropriate tuning of the electric and magnetic fields (or of the diamond shapes) this device completely blocks electrons with one polarization, and allows only electrons with the opposite polarization to be transmitted. The directions of these polarizations are tunable by these fields, and do not depend on the energy of the scattered electrons. For each range of fields one can tune the site and bond energies of the device so that the transmission of the fully polarized electrons is close to unity. Thus, these devices perform as ideal spin filters, and these electrons can be viewed as mobile qubits; the device writes definite quantum information on the spinors of the outgoing electrons. The device can also read the information written on incoming polarized electrons: the charge transmission through the device contains full information on this polarization. The double-diamond device can also act as a realization of the Datta-Das spin field-effect transistor.

show abstract

“…[11][12][13] In 3-lead rings, however, the condition gets relaxed. Peeters et al have shown that a 3-lead ring can act as a spin beam splitter in the presence of the RSOC.…”

Section: Introductionmentioning

confidence: 99%

Spin conductances and spin polarization components in a three-terminal ring subject to Rashba coupling

2015

View full text Add to dashboard Cite

Spin dependent transport in one-dimensional (1D) three-terminal rings is investigated in the presence of the Rashba spin-orbit coupling (RSOC). We focus on the spin dependent conductances and the components of the spin polarization vectors of the currents in the outgoing terminals. For this purpose, the transmission coefficients with respect to the σx, σy and σz basis are obtained, and the three components of the spin polarization vectors are evaluated analytically. The total conductances, the spin dependent conductances and the polarization components are obtained as functions of the incident electron energy, as well as the RSOC strength, for the totally symmetric, partially symmetric and asymmetric cases. It is found that the spin polarizations corresponding to the σy basis are zero, and that there is a symmetry in the total conductances, the spin dependent conductances and the polarization components for symmetric cases, i.e., G1 = G2, g1τ=g2−τ, and P1i=−P2i(i=x,z). This symmetry is attributed to the rotational symmetry in the symmetrically coupled rings. For asymmetric cases, however, it is broken by the asymmetric lead-ring configuration.

show abstract

Zero-conductance resonances and spin filtering effects in ring conductors subject to Rashba coupling

Cited by 73 publications

References 43 publications

Spin filtering in all-electrical three-terminal interferometers

Spin filtering in all-electrical three-terminal interferometers

Filtering and analyzing mobile qubit information via Rashba–Dresselhaus–Aharonov–Bohm interferometers

Spin conductances and spin polarization components in a three-terminal ring subject to Rashba coupling

Contact Info

Product

Resources

About