All-Optical NMR in a Quantum Well

Using the all-optical approach, all three mechanisms of initial polarization, detection and excitation of nuclear magnetic resonance have been focused onto a 7.5 nm wide GaAs quantum well. Thereby, as few as 1010 nuclei can be detected. The used quantum well is grown on (110) GaAs, which has longer spin life-time than conventional (100) samples, and exhibits a strongly anisotropic g-factor.

Experimental geometry diagram for all-optical nuclear magnetic resonance (NMR) measurements in a semiconductor quantum well. The figure shows pump and probe beam orientation, magnetic field direction, crystal axes, and electron spin components used to study spin dynamics.

Measurement geometry: (a) pump and probe beams are both perpendicular to the applied field, B. The sample normal can be tilted by an angle a with respect to the laser beams. The pump beam generates an electron spin S in the quantum well. This spin can be divided into two components along and perpendicular to the precession axis. The non-precessing component is enhanced due to an anisotropic g-factor in the quantum well, which tilts the precession axis ω away from B. (b) The non-precessing electron spin hyperpolarizes the nuclear spin I. This leads to a strong nuclear field Bn acting onto the electron spin.

Faraday rotation (FR) signal measurements in a quantum well at 5 K under magnetic fields of 0 T, -6 T, and 6 T. The graph shows time-dependent spin oscillations and magnetic field effects on electron spin coherence.

Measured electron spin dynamics at 0 T, -6 T and 6 T for α = 10. The Faraday rotation (FR) shows different precession frequencies at -6T and 6 T. This strong asymmetry is due to nuclear polarization along the non-precessing electron-spin component. The resulting nuclear field Bn enhanced or reduced the total field, depending on the sign of the applied field.

Plot of nuclear spin precession frequency versus magnetic field strength for a quantum well system at temperatures from 5 K to 80 K. The data illustrate temperature-dependent spin dynamics and magnetic resonance behavior.

Measured precession frequency ΩL as a function of field and temperature. The nonlinear increase of ΩL with B is attributed to dynamic nuclear polarization. The dashed line corresponds to the Zeeman frequency ΩZ. The difference between ΩL and ΩZ is due to the polarized nuclear spin.

Nuclear magnetic resonance spectra for gallium-69 nuclei in a semiconductor quantum well measured at magnetic fields of 3.72 T and 7.44 T. Resonance dips indicate nuclear spin transitions detected through optical techniques.

Nuclear resonances induced by laser pulses at a repetition rate of 76 MHz. At 7.44 T, the nuclear precession frequency of 69Ga matches the repetition rate, leading to depolarization of the nuclear spin. This is reflected in the observed decrease of the electron spin precession frequency ΩL. The resonance displays a triplet structure originating from the three Δm = 1 transitions within the quadrupolar split levels of the spin-3/2 nuclei (arrows). Another resonance occurs at 3.72 T. Here, the precession frequency of 69Ga is exactly half the laser repetition rate. This corresponds to an excitation of a Δm = 2 transitions. Because there are only two such transitions possible within the spin-3/2 levels, we observe a doublet structure.

Energy level diagram illustrating allowed nuclear spin transitions in all-optical NMR experiments within a quantum well. The figure compares full-field and half-field excitation conditions, showing quadrupole splitting and transition selection rules.

To learn more about our studies, please refer to "Origin of enhanced dynamic nuclear polarization and all-optical nuclear magnetic resonance in GaAs quantum wells", G. Salis, D. D. Awschalom, Y. Ohno and H. Ohno, Phys. Rev. B, vol. 64, R195304 (2001)