Nuclear magnetic resonance linewidth and spin diffusion in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mmultiscripts><mml:mtext>S</mml:mtext><mml:mprescripts /><mml:none /><mml:mrow><mml:mn>29</mml:mn></mml:mrow></mml:mmultiscripts><mml:mtext>i</mml:mtext></mml:mrow></mml:math>isotopically controlled silicon

Hayashi, Hiroshi; Itoh, Kohei M.; Vlasenko, L. S.

doi:10.1103/physrevb.78.153201

Cited by 36 publications

(37 citation statements)

References 25 publications

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“…34 Representative values of the latter may be inferred from measured linewidths; for example, the 127 Hz linewidth of 29 Si in natural silicon 35 corresponds to an estimated R FC ≈ 80Å for the phosphorus donor system (Si:P) which exemplifies our study.…”

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confidence: 60%

Decoherence of nuclear spins in the frozen core of an electron spin

et al. 2015

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Hybrid qubit systems combining electronic spins with nearby ("proximate") nuclear spin registers offer a promising avenue towards quantum information processing, with even multi-spin error correction protocols recently demonstrated in diamond. However, for the important platform offered by spins of donor atoms in cryogenically-cooled silicon, decoherence mechanisms of 29 Si proximate nuclear spins are not yet well understood. The reason is partly because proximate spins lie within a so-called "frozen core" region where the donor electronic hyperfine interaction strongly suppresses nuclear dynamics. We investigate the decoherence of a central proximate nuclear qubit arising from quantum spin baths outside, as well as inside, the frozen core around the donor electron. We consider the effect of a very large nuclear spin bath comprising many ( 10 8 ) weakly contributing pairs outside the frozen core. We also propose that there may be an important contribution from a few (of order 100) symmetrically sited nuclear spin pairs ("equivalent pairs"), which were not previously considered as their effect is negligible outside the frozen core. If equivalent pairs represent a measurable source of decoherence, nuclear coherence decays could provide sensitive probes of the symmetries of electronic wavefunctions. For the phosphorus donor system, we obtain T2n values of order 1 second for both the "far bath" and "equivalent pair" models, confirming the suitability of proximate nuclei in silicon as very long-lived spin qubits.

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confidence: 60%

Decoherence of nuclear spins in the frozen core of an electron spin

et al. 2015

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“…One approach taken by the international collaboration led by Keio University was to enrich the phosphorus doped single silicon crystal with 29 Si to reduce the average distance between the phosphorus electrons and the 29 Si nuclear spins. [78][79][80][81] In this phenomenon, referred to as dynamical nuclear polarization, selective excitation of the symmetry prohibited ESR transitions in the phosphorus donor coupling to the nearby 29 Si, led to preferential relaxation to a certain 29 Si nuclear spin state (solid effect). This nuclear spin polarization around the phosphorus atom diffused through the crystal via nuclear spin diffusion ( 29 Si flip-flops).…”

Section: ] 28mentioning

confidence: 99%

Isotope engineering of silicon and diamond for quantum computing and sensing applications

2014

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Some of the stable isotopes of silicon and carbon have zero nuclear spin, whereas many of the other elements that constitute semiconductors consist entirely of stable isotopes that have nuclear spins. Silicon and diamond crystals composed of nuclear-spin-free stable isotopes ( 28 Si, 30 Si, or 12 C) are considered to be ideal host matrixes to place spin quantum bits (qubits) for quantum-computing and -sensing applications, because their coherent properties are not disrupted thanks to the absence of host nuclear spins. The present paper describes the state-of-theart and future perspective of silicon and diamond isotope engineering for development of quantum information-processing devices.

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“…It was among the first, directed on analytical treatment of RWDS problem. The theory was formulated in the form, which is equivalent to master equation (27) (9) and (11)). …”

Section: Projection Operator Technique and Memory Kernels For Rwdsmentioning

confidence: 99%

“…Therefore, for the sake of brevity, we will discuss below homonuclear magnetically disordered systems mainly. Examples of corresponding experimental studies can be found in [7][8][9][10]. Observable values for these systems are free induction decay (FID) …”

Section: Introductionmentioning

confidence: 99%

Spin relaxation in disordered media

Dzheparov¹

2011

J. Phys.: Conf. Ser.

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The NMR line shape of magneto-active nanoclusters in moveable nano-containers with self-similar stochastic dynamics A A Khamzin, R R Nigmatullin, A P Alekhin et al. IntroductionWe will discuss statically disordered media, this means that constituent particles (atoms, ions and so on) do not participate in significant translational motions during the relaxation time under discussion, and therefore their positions are fixed (frozen) in the main approximation. The relaxation is assumed as forced by magnetic dipole interactions typical for nuclear magnetic (NMR) and electron paramagnetic (EPR) resonance studies. Considered systems are suggested as translational invariant in average.In the simplest situation, when considered system consists of spins, placed in static fluctuating fields, we have inhomogeneous broadening of resonance line -very old and simple one-particle problem that nevertheless produces new results up to now [1]. Other systems of interest are much more complex for analytical studies and we will try to clarify the nature of this complexity here. Our consideration will be concentrated on peculiarities of theoretical methods which are necessary for adequate description of observable phenomena. More extended description of theoretical and experimental results can be found in [2,3].We will distinguish below disordered and magnetically diluted spin systems.

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Nuclear magnetic resonance linewidth and spin diffusion inS29iisotopically controlled silicon

Cited by 36 publications

References 25 publications

Decoherence of nuclear spins in the frozen core of an electron spin

Decoherence of nuclear spins in the frozen core of an electron spin

Isotope engineering of silicon and diamond for quantum computing and sensing applications

Spin relaxation in disordered media

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