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

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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

description

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. - PowerPoint PPT Presentation

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

Page 1: 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 LossDepartment of Physics

University of Basel, Switzerland

Page 2: Spin Relaxation and Anticrossing in Quantum Dots:  Rashba versus Dresselhaus Spin-Orbit Coupling

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Hamiltonian of electrons in a quantum dot

Page 3: Spin Relaxation and Anticrossing in Quantum Dots:  Rashba versus Dresselhaus Spin-Orbit Coupling

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Anti-crossing (crossing) of the levels E2 and E3 at ./||1 Bg BZ

Page 4: Spin Relaxation and Anticrossing in Quantum Dots:  Rashba versus Dresselhaus Spin-Orbit Coupling

Anti-crossing of levels due to Rashba coupling [1]

0

0.05

0.10

0.15

0.20

0.25

2 4 6 8 10

Energy [meV]

B [T]

|↑

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E3 – E1

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[1] C. F. Destefani, S. E. Ulloa, and G. E. Marques. Phys. Rev. B 69, 125302 (2004).

Page 5: Spin Relaxation and Anticrossing in Quantum Dots:  Rashba versus Dresselhaus Spin-Orbit Coupling

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Spin relaxation rates (Rashba coupling)

Page 6: Spin Relaxation and Anticrossing in Quantum Dots:  Rashba versus Dresselhaus Spin-Orbit Coupling

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Spin relaxation rates (Dresselhaus coupling)

Page 7: Spin Relaxation and Anticrossing in Quantum Dots:  Rashba versus Dresselhaus Spin-Orbit Coupling

B(T)B(T)

1.1 T

(a) (b)

1/T

1 (1/

s)

1/T

1 (1/

s)

B(T)5.1 5.2 5.3

B(T)5.1 5.2 5.3

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E2 – E1

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Spin relaxation rates

Dresselhaus coupling Rashba coupling

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(for the Dresselhaus SO coupling),

(for the Rashba SO coupling).