Spin precession and time-reversal symmetry breaking in quantum transport of electronsthrough mesoscopic rings

Yi, Ya Sha; Qian, Tiezheng; Su, Zhong

doi:10.1103/physrevb.55.10631

Cited by 46 publications

(49 citation statements)

References 25 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The spin-orbit interaction (SOI) gives rise to a geometric phase in the quantum amplitude of a particle propagating along a closed trajectory. In ideal 1D rings this can lead to quantum oscillations of transport parameters similar to the Aharonov-Bohm effect [1,2]. In disordered conductors the interference between two time reversed paths produces the oscillation of mean conductance analogous to the Altshuler-Aronov-Spivak effect.…”

mentioning

confidence: 99%

“…[1,2] the geometric phase θ g =±πρ ′ (ζ 2 -1) −1/2 φ+C , where C is a constant independent of the magnetic field, and the ± signs refer to the two electron spin orientations. Combining the geometric phase to the AB phase 2πφ, we see that SOI leads to a split of the AB oscillations in the transmittance of the ring into two oscillations with close frequencies.…”

mentioning

confidence: 99%

See 1 more Smart Citation

Effect of the spin-orbit geometric phase on the spectrum of Aharonov-Bohm oscillations in a semiconductor mesoscopic ring

1999

View full text Add to dashboard Cite

Taking into account the spin precession caused by the spinorbit splitting of the conduction band in semiconductor quantum wells, we have calculated the Fourier spectra of conductance and state-density correlators in a 2D ring, in order to investigate the structure of the main peak corresponding to Aharonov-Bohm oscillations. In narrow rings the peak structure is determined by the competition between the spin-orbit and the Zeeman couplings. The latter leads to a peak broadening, and produces the peak splitting in the state-density Fourier spectrum. We have found an oscillation of the peak intensity as a function of the spin-orbit coupling constant, and this effect of the quantum interference caused by the spin geometric phase is destroyed with increasing Zeeman coupling. The spin-orbit interaction (SOI) gives rise to a geometric phase in the quantum amplitude of a particle propagating along a closed trajectory. In ideal 1D rings this can lead to quantum oscillations of transport parameters similar to the Aharonov-Bohm effect [1,2]. In disordered conductors the interference between two time reversed paths produces the oscillation of mean conductance analogous to the Altshuler-Aronov-Spivak effect. Such oscillation in 1-D systems was shown by Meir, Gefen and Entin-Wohlman [3], and in systems of higher dimensions by Mathur and Stone [4]. Besides, SOI also modifies the shape of the Aharonov-Bohm and Altshuler-AronovSpivak oscillations. For a disordered material, the mean conductance is obtained as an ensemble average over a large number of measurements on different samples. One can try to detect the quantum effects associated to the spin-orbit phase by measuring the oscillations of mean conductance when the spin-orbit coupling strength or the external magnetic field is varied. To our knowledge, such experiments have not yet established any evidence of the spin-orbit geometric phase.For a disordered material, if one takes the Fourier transform of the mean conductance g(B) as a function of the external magnetic field B, the spectrum is dominated by the Altshuler-Aronov-Spivak oscillations which is periodic in magnetic flux with a period hc/2e. On the other hand, if one takes first the Fourier transform g(ν) of a measured conductance g(B), and then performs an ensemble average |g(ν)| of the Fourier amplitude, one would expect that the so-derived spectrum will exhibit a main peak corresponding to the Aharonov-Bohm oscillations with a period hc/e in magnetic flux [5]. Consequently, the average of Fourier amplitude, |g(ν)| represents correlations of conductances measured at different magnetic fields. The dependence of these correlations on the SOI can then manifest itself in the shape of the mean peak. In a recent experiment [6] on mesoscopic rings made from a AlSb/InAs quantum well structure, the data were analyzed in this way for the first time, and a split of the main peak in the measured spectrum |g(ν)| was observed. The authors of Ref.[6] have conjectured that the observed splitting is due to the strong Rashba SOI in ...

show abstract

mentioning

confidence: 99%

mentioning

confidence: 99%

Effect of the spin-orbit geometric phase on the spectrum of Aharonov-Bohm oscillations in a semiconductor mesoscopic ring

1999

View full text Add to dashboard Cite

show abstract

“…In numerous investigations, the transmission properties of mesoscopic AB and AC-rings coupled to current leads were studied under various aspects such as AB-flux and coupling dependence of resonances 3 , geometric (Berry) phases [4][5][6][7][8] and spin flip, precession and interference effects [9][10][11][12][13] . Most of the investigated models use symmetrically coupled rings.…”

Section: Introductionmentioning

confidence: 99%

Effect of spin-orbit coupling on zero-conductance resonances in asymmetrically coupled one-dimensional rings

2005

View full text Add to dashboard Cite

The influence of Rashba spin-orbit coupling on zero conductance resonances appearing in onedimensional conducting rings asymmetrically coupled to two leads is investigated. For this purpose, the transmission function of the corresponding one-electron scattering problem is derived analytically and analyzed in the complex energy plane with focus on the zero-pole structure characteristic of transmission (anti)resonances. The lifting of real conductance zeros due to spin-orbit coupling in the asymmetric Aharonov-Casher ring is related to the breaking of spin reversal symmetry in analogy to the time-reversal symmetry breaking in the asymmetric Aharonov-Bohm ring.

show abstract

“…al. 3 considered a joint effect of the Zeeman coupling, magnetic flux and SOI on the conductance of a 1D ring beyond the adiabatic approximation employed in Ref. 1.…”

Section: Introductionmentioning

confidence: 99%

Aharonov-Casher oscillations of spin current through a multichannel mesoscopic ring

Shlyapin

Mal’shukov

2010

Phys. Rev. B

View full text Add to dashboard Cite

The Aharonov-Casher (AC) oscillations of spin current through a 2D ballistic ring in the presence of Rashba spin-orbit interaction and external magnetic field has been calculated using the semiclassical path integral method. For classically chaotic trajectories the Fokker-Planck equation determining dynamics of the particle spin polarization has been derived. On the basis of this equation an analytic expression for the spin conductance has been obtained taking into account a finite width of the ring arms carrying large number of conducting channels. It was shown that the finite width results in a broadening and damping of spin current AC oscillations. We found that an external magnetic field leads to appearance of new nondiagonal components of the spin conductance, allowing thus by applying a rather weak magnetic field to change a direction of the transmitted spin current polarization.

show abstract

Spin precession and time-reversal symmetry breaking in quantum transport of electronsthrough mesoscopic rings

Cited by 46 publications

References 25 publications

Effect of the spin-orbit geometric phase on the spectrum of Aharonov-Bohm oscillations in a semiconductor mesoscopic ring

Effect of the spin-orbit geometric phase on the spectrum of Aharonov-Bohm oscillations in a semiconductor mesoscopic ring

Effect of spin-orbit coupling on zero-conductance resonances in asymmetrically coupled one-dimensional rings

Aharonov-Casher oscillations of spin current through a multichannel mesoscopic ring

Contact Info

Product

Resources

About