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Workshop book - Physikzentrum der RWTH Aachen - RWTH Aachen ...

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Talks Tuesday February 5<br />

Spin-orbit-mediated control of electron and hole spins in InSb nanowire<br />

quantum dots<br />

Vlad Pribiag, Kavli Institute of Nanoscience Delft, The Netherlands<br />

The spin-orbit interaction allows fast control of individual spins in quantum dots<br />

using electric fields. Narrow-gap III-V semiconductor nanowires (InAs and InSb)<br />

exhibit strong spin-orbit coupling, which makes them a promising platform for spinbased<br />

qubits [1,2]. In this talk I will focus on InSb nanowires, which are of high<br />

interest both for qubits and for observing Majorana fermions.<br />

Using electric-dipole spin resonance (EDSR) we demonstrate coherent and universal<br />

control over the spin-orbit eigenstates of individual electrons, with Rabi<br />

frequencies in excess of 100 MHz and estimated fidelities of ∼ 81%. The large<br />

Zeeman energy difference between adjacent dots enables selective addressing of each<br />

qubit. Furthermore, we use EDSR in the strong interdot coupling regime to probe<br />

the strength and anisotropy of the spin-orbit coupling. The data in agreement with<br />

Rashba spin-orbit coupling, with α∼ 0.23 eVÅ. Although the Rabi oscillations for<br />

InSb nanowire qubits are consi<strong>der</strong>ably faster than for GaAs qubits, the coherence<br />

times are relatively short (Techo ∼ 35 ns) and show no significant dependence on<br />

driving frequency within the accessible range of 8-32 GHz. This is consistent with<br />

dephasing due to a fast spin bath that likely originates from the large nuclear spins<br />

of InSb (5/2 and 7/2 for 121Sb and 123Sb respectively, and 9/2 for In).<br />

A promising approach to enhancing qubit coherence is to use hole spins as qubits<br />

instead of electron spins because hole spins exhibit weaker hyperfine coupling [3].<br />

Taking advantage of the small bandgap of InSb, we can readily gate-tune our<br />

nanowire devices between few-electron and few-hole quantum dots [4]. Comparison<br />

between the two regimes suggests that the holes are primarily of light character and<br />

that the hyperfine interaction is about an or<strong>der</strong> of magnitude weaker for holes than<br />

for electrons. We demonstrate rotation of hole spin states via EDSR and use this<br />

to extract the hole g-factor, which is about an or<strong>der</strong> of magnitude smaller than for<br />

electrons. We compare the anisotropies of the g-factor and spin blockade leakage<br />

current for holes and electrons. The ability to control and read out hole spin states<br />

paves the way for coherent, all-electrical hole-spin qubits.<br />

[1] C. Flindt, A. S. Sørensen, K. Flensberg, Phys. Rev. Lett. 97 240501 (2006).<br />

[2] S. Nadj-Perge, S. M. Frolov, E. P. A. M. Bakkers, and L. P. Kouwenhoven,<br />

Nature 468, 1084 (2010).<br />

[3] D. Brunner, B. D. Gerardot, P. A. Dalgarno, G. Wüst, K. Karrai, N. G. Stoltz,<br />

P. M. Petroff, R. J. Warburton, Science 325, 70 (2009).<br />

[4] V. S. Pribiag, S. Nadj-Perge, S. M. Frolov, J. van den Berg, I. van Weperen,<br />

S. R. Plissard, E. P. A. M. Bakkers, and L. P. Kouwenhoven, Submitted.<br />

38

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