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Electron Spin Relaxation in Graphene Nanoribbon Quantum Dots

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http://nbn-resolving.de/urn:nbn:de:bsz:352-247957
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https://doi.org/10.1103/PhysRevB.87.205432
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Physical Review B. 2013, 87(20). ISSN 1098-0121. eISSN 1095-3795. Available under: doi: 10.1103/PhysRevB.87.205432

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Graphene is promising as a host material for electron spin qubits because of its predicted potential for long coherence times. In armchair graphene nanoribbons (aGNRs) a small band gap is opened, allowing for electrically gated quantum dots, and furthermore the valley degeneracy is lifted. The spin lifetime T1 is limited by spin relaxation, where the Zeeman energy is absorbed by lattice vibrations, mediated by spin-orbit and electron-phonon coupling. We have calculated T1 by treating all couplings analytically and find that T1 can be in the range of seconds for several reasons: (i) low phonon density of states away from Van Hove singularities; (ii) destructive interference between two relaxation mechanisms; (iii) Van Vleck cancellation at low magnetic fields; (iv) vanishing coupling to out-of-plane modes in lowest order due to the electronic structure of aGNRs. Owing to the vanishing nuclear spin of 12C, T1 may be a good measure for overall coherence. These results and recent advances in the controlled production of graphene nanoribbons make this system interesting for spintronics applications.

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ISO 690DROTH, Matthias, Guido BURKARD, 2013. Electron Spin Relaxation in Graphene Nanoribbon Quantum Dots. In: Physical Review B. 2013, 87(20). ISSN 1098-0121. eISSN 1095-3795. Available under: doi: 10.1103/PhysRevB.87.205432
BibTex
@article{Droth2013Elect-24795,
  year={2013},
  doi={10.1103/PhysRevB.87.205432},
  title={Electron Spin Relaxation in Graphene Nanoribbon Quantum Dots},
  number={20},
  volume={87},
  issn={1098-0121},
  journal={Physical Review B},
  author={Droth, Matthias and Burkard, Guido}
}
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    <dcterms:abstract xml:lang="eng">Graphene is promising as a host material for electron spin qubits because of its predicted potential for long coherence times. In armchair graphene nanoribbons (aGNRs) a small band gap is opened, allowing for electrically gated quantum dots, and furthermore the valley degeneracy is lifted. The spin lifetime T&lt;sub&gt;1&lt;/sub&gt; is limited by spin relaxation, where the Zeeman energy is absorbed by lattice vibrations, mediated by spin-orbit and electron-phonon coupling. We have calculated T&lt;sub&gt;1&lt;/sub&gt; by treating all couplings analytically and find that T&lt;sub&gt;1&lt;/sub&gt; can be in the range of seconds for several reasons: (i) low phonon density of states away from Van Hove singularities; (ii) destructive interference between two relaxation mechanisms; (iii) Van Vleck cancellation at low magnetic fields; (iv) vanishing coupling to out-of-plane modes in lowest order due to the electronic structure of aGNRs. Owing to the vanishing nuclear spin of &lt;sup&gt;12&lt;/sup&gt;C, T&lt;sub&gt;1&lt;/sub&gt; may be a good measure for overall coherence. These results and recent advances in the controlled production of graphene nanoribbons make this system interesting for spintronics applications.</dcterms:abstract>
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