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Spin Relaxation and Anticrossing in Quantum Dots: Rashba versus Dresselhaus Spin-Orbit Coupling

Spin Relaxation and Anticrossing in Quantum Dots: Rashba versus Dresselhaus Spin-Orbit Coupling. Denis V. Bulaev and Daniel Loss Department of Physics University of Basel, Switzerland. Hamiltonian of electrons in a quantum dot. Three lowest electron energy levels.

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Spin Relaxation and Anticrossing in Quantum Dots: Rashba versus Dresselhaus Spin-Orbit Coupling

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  1. Spin Relaxation and Anticrossing in Quantum Dots: Rashba versus Dresselhaus Spin-Orbit Coupling Denis V. Bulaev and Daniel Loss Department of Physics University of Basel, Switzerland

  2. Hamiltonian of electrons in a quantum dot

  3. Three lowest electron energy levels Rashba term as perturbation Dresselhaus term as perturbation Anti-crossing (crossing)of the levelsE2andE3at .

  4. Anti-crossing of levels due to Rashba coupling [1] E3 – E1 0.25 |↑ |↓ 0.20 Energy [meV] 0.15 G31 G32 0.10 E2 – E1 |↑ 0.05 G21 |↓ |↑ E1 – E1 8 0 2 4 6 10 B [T] [1] C. F. Destefani, S. E. Ulloa, and G. E. Marques. Phys. Rev. B 69, 125302 (2004).

  5. Spin relaxation rates (Rashba coupling)

  6. Spin relaxation rates (Dresselhaus coupling)

  7. Spin relaxation rates (a) (b) 109 109 108 108 0.135 0.135 E3 – E1 E2 – E1 107 107 D Energy (meV) Energy (meV) 106 106 E3 – E1 E2 – E1 0.13 1/T1 (1/s) 1/T1 (1/s) 0.13 105 105 5.1 5.2 5.3 5.1 5.2 5.3 B(T) B(T) 104 104 1.1 T 103 103 102 102 10 10 0 3 6 9 12 15 0 3 6 9 12 15 B(T) B(T) Dresselhauscoupling Rashba coupling (for the Dresselhaus SO coupling), (for the Rashba SO coupling).

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