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Non-monotonic spin relaxation and decoherence in graphene quantum dots with spin-orbit interactions

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2014

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Hachiya, Marco O.
Egues, J. Carlos

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https://doi.org/10.1103/PhysRevB.89.115427
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Physical Review B. 2014, 89(11), 115427. ISSN 1098-0121. eISSN 1550-235X. Available under: doi: 10.1103/PhysRevB.89.115427

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We investigate the spin relaxation and decoherence in a single-electron graphene quantum dot with Rashba and intrinsic spin-orbit interactions. We derive an effective spin-phonon Hamiltonian via the Schrieffer-Wolff transformation in order to calculate the spin relaxation time T1 and decoherence time T2 within the framework of the Bloch-Redfield theory. In this model, the emergence of a nonmonotonic dependence of T1 on the external magnetic field is attributed to the Rashba spin-orbit coupling-induced anticrossing of opposite spin states. A rapid decrease of T1 occurs when the spin and orbital relaxation rates become comparable in the vicinity of the spin-mixing energy-level anticrossing. By contrast, the intrinsic spin-orbit interaction leads to a monotonic magnetic field dependence of the spin relaxation rate which is caused solely by the direct spin-phonon coupling mechanism. Within our model, we demonstrate that the decoherence time T2≃2T1 is dominated by relaxation processes for the electron-phonon coupling mechanisms in graphene up to leading order in the spin-orbit interaction. Moreover, we show that the energy anticrossing also leads to a vanishing pure spin dephasing rate for these states for a super-Ohmic bath.

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ISO 690HACHIYA, Marco O., Guido BURKARD, J. Carlos EGUES, 2014. Non-monotonic spin relaxation and decoherence in graphene quantum dots with spin-orbit interactions. In: Physical Review B. 2014, 89(11), 115427. ISSN 1098-0121. eISSN 1550-235X. Available under: doi: 10.1103/PhysRevB.89.115427
BibTex
@article{Hachiya2014Nonmo-32324,
  year={2014},
  doi={10.1103/PhysRevB.89.115427},
  title={Non-monotonic spin relaxation and decoherence in graphene quantum dots with spin-orbit interactions},
  number={11},
  volume={89},
  issn={1098-0121},
  journal={Physical Review B},
  author={Hachiya, Marco O. and Burkard, Guido and Egues, J. Carlos},
  note={Article Number: 115427}
}
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    <dcterms:abstract xml:lang="eng">We investigate the spin relaxation and decoherence in a single-electron graphene quantum dot with Rashba and intrinsic spin-orbit interactions. We derive an effective spin-phonon Hamiltonian via the Schrieffer-Wolff transformation in order to calculate the spin relaxation time T&lt;sub&gt;1&lt;/sub&gt; and decoherence time T&lt;sub&gt;2&lt;/sub&gt; within the framework of the Bloch-Redfield theory. In this model, the emergence of a nonmonotonic dependence of T&lt;sub&gt;1&lt;/sub&gt; on the external magnetic field is attributed to the Rashba spin-orbit coupling-induced anticrossing of opposite spin states. A rapid decrease of T&lt;sub&gt;1&lt;/sub&gt; occurs when the spin and orbital relaxation rates become comparable in the vicinity of the spin-mixing energy-level anticrossing. By contrast, the intrinsic spin-orbit interaction leads to a monotonic magnetic field dependence of the spin relaxation rate which is caused solely by the direct spin-phonon coupling mechanism. Within our model, we demonstrate that the decoherence time T&lt;sub&gt;2&lt;/sub&gt;≃2T&lt;sub&gt;1&lt;/sub&gt; is dominated by relaxation processes for the electron-phonon coupling mechanisms in graphene up to leading order in the spin-orbit interaction. Moreover, we show that the energy anticrossing also leads to a vanishing pure spin dephasing rate for these states for a super-Ohmic bath.</dcterms:abstract>
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