Fig. 4
From: Hyperfine-phonon spin relaxation in a single-electron GaAs quantum dot
Hyperfine induced spin relaxation. a Spin relaxation rate W for an in-plane magnetic field along the \(\hat x\) direction (green, along [110]) and the \(\hat y\) direction (blue, along [1\(\overline 1\)0]) as a function of the field magnitude. The data are shown as triangles with error bars. Numerics considering various terms are shown as labeled. The pure B5 scaling (red dash) and B3 scaling (orange dash) are also given as a guide to the eye. The orange band around the HF curve indicates the statistical uncertainty due to a finite number of nuclear spin configurations used in the simulation. b The relaxation anisotropy WX/WY as a function of field magnitude. Experiment is shown as triangles with error bars, numerics with both SOI and HF as a solid curve, showing the transition to isotropic relaxation at low fields. Red dashed line is SOI theory only, orange dash at WX/WY = 1 is the isotropic HF theory. A possible dip below the theory above ≳6 T could be due to the only remaining discrepancy between theory and experiment, occurring at hight fields (see main text). Error bars are fit errors
