TY - JOUR

T1 - Nuclear spin noise in the central spin model

AU - Fröhling, Nina

AU - Anders, Frithjof B.

AU - Glazov, Mikhail

PY - 2018/5/23

Y1 - 2018/5/23

N2 - We study theoretically the fluctuations of the nuclear spins in quantum dots employing the central spin model which accounts for the hyperfine interaction of the nuclei with the electron spin. These fluctuations are calculated both with an analytical approach using homogeneous hyperfine couplings (box model) and with a numerical simulation using a distribution of hyperfine coupling constants. The approaches are in good agreement. The box model serves as a benchmark with low computational cost that explains the basic features of the nuclear spin noise well. We also demonstrate that the nuclear spin noise spectra comprise a two-peak structure centered at the nuclear Zeeman frequency in high magnetic fields with the shape of the spectrum controlled by the distribution of the hyperfine constants. This allows for direct access to this distribution function through nuclear spin noise spectroscopy.

AB - We study theoretically the fluctuations of the nuclear spins in quantum dots employing the central spin model which accounts for the hyperfine interaction of the nuclei with the electron spin. These fluctuations are calculated both with an analytical approach using homogeneous hyperfine couplings (box model) and with a numerical simulation using a distribution of hyperfine coupling constants. The approaches are in good agreement. The box model serves as a benchmark with low computational cost that explains the basic features of the nuclear spin noise well. We also demonstrate that the nuclear spin noise spectra comprise a two-peak structure centered at the nuclear Zeeman frequency in high magnetic fields with the shape of the spectrum controlled by the distribution of the hyperfine constants. This allows for direct access to this distribution function through nuclear spin noise spectroscopy.

KW - DYNAMIC SELF-POLARIZATION

KW - QUANTUM DOTS

KW - SPECTROSCOPY

UR - http://www.scopus.com/inward/record.url?scp=85047761174&partnerID=8YFLogxK

U2 - 10.1103/PhysRevB.97.195311

DO - 10.1103/PhysRevB.97.195311

M3 - Article

AN - SCOPUS:85047761174

VL - 97

JO - Physical Review B-Condensed Matter

JF - Physical Review B-Condensed Matter

SN - 1098-0121

IS - 19

M1 - 195311

ER -