Physically motivated analytical expression for the temperature dependence of the zero-field splitting of the nitrogen-vacancy center in diamond

Cambria, M. C.; Thiering, G.; Norambuena, A.; Dinani, H. T.; Gardill, A.; Kemeny, I.; Lordi, V.; Gali, Á.; Maze, J. R.; Kolkowitz, S.

doi:10.1103/physrevb.108.l180102

Title: Physically motivated analytical expression for the temperature dependence of the zero-field splitting of the nitrogen-vacancy center in diamond

Journal Article · 07 November 2023 · Physical Review. B

DOI: https://doi.org/10.1103/physrevb.108.l180102 · OSTI ID:2278781

^[1];

^[2]; Norambuena, A. ^[3]; Dinani, H. T. ^[3];

^[1]; Kemeny, I. ^[1]; Lordi, V. ^[4];

^[5]; Maze, J. R. ^[6];

^[7]

University of Wisconsin, Madison, WI (United States)
HUN-REN Wigner Research Centre for Physics, Budapest (Hungary)
Universidad Mayor, Santiago (Chile)
Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
HUN-REN Wigner Research Centre for Physics, Budapest (Hungary); Budapest University of Technology and Economics (Hungary)
Pontificia Universidad Católica de Chile, Santiago (Chile); Pontificia Universidad Católica de Chile, Santiago (Chile)
University of Wisconsin, Madison, WI (United States); University of California, Berkeley, CA (United States)

The temperature dependence of the zero-field splitting (ZFS) between the | $$m_s$$ = 0 $$\rangle$$ and | $$m_s$$ = ±1 $$\rangle$$ levels of the nitrogen-vacancy (NV) center's electronic ground-state spin triplet can be used as a robust nanoscale thermometer in a broad range of environments. However, despite numerous measurements of this dependence in different temperature ranges, to our knowledge no analytical expression has been put forward that captures the scaling of the ZFS of the NV center across all relevant temperatures. Here we present a simple, analytical, and physically motivated expression for the temperature dependence of the NV center's ZFS that matches all experimental observations, in which the ZFS shifts in proportion to the occupation numbers of two representative phonon modes. In contrast to prior models our expression does not diverge outside the regions of fitting. In conclusion, we show that our model quantitatively matches experimental measurements of the ZFS from 15 to 500 K in single NV centers in ultrapure bulk diamond, and we compare our model and measurements to prior models and experimental data.

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Research Organization:: Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA); USDOE Office of Science (SC), Basic Energy Sciences (BES); National Fund for Scientific and Technological Development (FONDECYT); Quantum Information National Laboratory

Grant/Contract Number:: AC52-07NA27344; SC0020313

OSTI ID:: 2278781

Report Number(s):: LLNL-JRNL-854931; 1083835

Journal Information:: Physical Review. B, Journal Name: Physical Review. B Journal Issue: 18 Vol. 108; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Title: Physically motivated analytical expression for the temperature dependence of the zero-field splitting of the nitrogen-vacancy center in diamond

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