We report the experimental observation of the spin-Hall effect in a 2D hole system with spin-orbit coupling. The 2D hole layer is a part of a p-n junction light-emitting diode with a specially designed coplanar geometry which allows an angle-resolved polarization detection at opposite edges of the 2D hole system. In equilibrium the angular momenta of the spin-orbit split heavy-hole states lie in the plane of the 2D layer. When an electric field is applied across the hole channel, a nonzero out-of-plane component of the angular momentum is detected whose sign depends on the sign of the electric field and is opposite for the two edges. Microscopic quantum transport calculations show only a weak effect of disorder, suggesting that the clean limit spin-Hall conductance description (intrinsic spin-Hall effect) might apply to our system.
J. Wunderlich, B. Kaestner, J. Sinova, and T. Jungwirth
We report the experimental observation of the spin-Hall effect in a 2D hole system with spin-orbit coupling. The 2D hole layer is a part of a p-n junction light-emitting diode with a specially designed coplanar geometry which allows an angle-resolved polarization detection at opposite edges of the 2D hole system. Here we report the experimental observation of a new member of the Hall family—the spin-Hall effect (SHE) [1].
While predictions of the spin-Hall effect were reported, within different physical contexts, experimentally, it has been elusive because in nonmagnetic systems the transverse spin currents do not lead to net charge imbalance across the sample, precluding the simple electrical measurement. To demonstrate the spin-Hall effect, we have developed a novel p-n junction light-emitting diode (LED) microdevice that couples two-dimensional hole and electron doped systems.
The detection of spin-polarization phenomena is done
by measuring circular polarization (CP) of the light.
A finite CP along a given
direction of the propagating light indicates a finite spinpolarization
in this direction of carriers involved in the
recombination.
In the SHE, nonzero 〈sz〉
occurs as a response to external
electric field and the carries with opposite spins are
deflected to opposite edges of the sample parallel to the
SHE driving electrical current. A microdevice that allows
us to induce and detect such a response is shown in
Fig. 3(a).
The occurrence of the SHE
upon applying Ip is demonstrated in Fig. 3(b).
To highlight the consistency of the signal with the
unique SHE phenomenology, we compare in Fig. 3(c) CPs
obtained in experiment where Ip was fixed and either
LED 1 or LED 2 was activated.
Fig. 3. The SHE experiment. (a) Scanning electron microscopy image of the SHE LED device. The top (LED 1) or bottom (LED 2) n contacts are used to measure the EL at opposite edges of the 2DHG p channel parallel to the SHE driving current Ip. (b) Polarization along z axis measured with active LED 1 for two opposite Ip current orientations. Spectral region of peak B of the high bias EL curve of wafer 1 is shown. Nonzero and opposite out-of-plane polarization for the two Ip orientations demonstrates the SHE. (c) Polarization along z axis measured with fixed Ip current and for biased LED 1 or LED 2. The data show opposite polarizations at opposite edges of the 2DHG channel confirming the SHE origin of the measured signal. (d) Theoretical intrinsic SHE conductivity in units of e/8π versus quasiparticle lifetime broadening and 2D hole density. Parameters corresponding to our 2DHG, indicated by a white dot, fall into the strong intrinsic SHE part of the theoretical diagram.
To stimulate a detailed microscopic analysis of the observed SHE, including the discussion of the role of disorder, we present in Fig. 3(d) Kubo formula calculations for wafer 1 of the spin-Hall conductivity, σSH, which is derived directly from spin-orbit coupled band structure and approaches a disorder independent value in high mobility systems.
[1] Phys. Rev. Lett. 94, 047204 (2005), doi: 10.1103/PhysRevLett.94.047204.