Non-Perturbative Bounds on Hyperfine-Induced Electron Spin Coherence Times

Details Non-Perturbative Bounds on Hyperfine-Induced Electron Spin Coherence Times Non-Perturbative Bounds on Hyperfine-Induced Electron Spin Coherence Times

2004-10-12

arxiv.org/abs/cond-mat/0410308v3

Phys. Rev. B 71, 144419 (2005)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

23 pages, 3 figures updated references, minor revisions

Scientific paper

10.1103/PhysRevB.71.144419

We address the decoherence of a localized electron spin in an external magnetic field due to the hyperfine interaction with a lattice of nuclear spins. Using a completely non-perturbative method, rigorous bounds on the T_1 and T_2 coherence times for the electron spin are provided. It is shown that for magnetic fields B greater than some critical field B_c (B_c ~ .001 - 2 Tesla for the systems studied here), the z-polarization of the electron spin cannot relax, and hence T_1 is infinite. However, even at high fields dephasing can still occur. We provide a lower bound on the T_2 coherence time that explicitly takes into account the effects of a spin echo pulse sequence.

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