- Open Access
Engineering diamond interfaces free of dark spins
Phys. Rev. Applied 25, 034006 – Published 3 March, 2026
DOI: https://doi.org/10.1103/3j8r-2kt6
Abstract
Nitrogen-vacancy (NV) centers in diamond are utilized extensively as quantum sensors for imaging fields at the nanoscale. The ultrahigh sensitivity of NV magnetometers has enabled the detection and spectroscopy of individual electron spins, with potentially far-reaching applications in condensed matter physics, spintronics, and molecular biology. However, the surfaces of these diamond sensors naturally contain electron spins, which create a background signal that can be hard to differentiate from the signal of the target spins. In this study, we develop a surface modification approach that eliminates the unwanted signal of these so-called dark electron spins. Our surface passivation technique, based on coating diamond surfaces with a thin titanium oxide () layer, reduces the dark spin density. The observed reduction in dark spin density aligns with our findings on the electronic structure of the diamond- interface. The reduction, from a typical value of to a value below that set by the detection limit of our NV sensors (), results in a twofold increase in Hahn-echo coherence time of near surface NV centers. Furthermore, we derive a comprehensive spin model that connects dark spin relaxation with NV coherence, providing additional insights into the mechanisms behind the observed spin dynamics. Our findings are directly transferable to other quantum platforms, including nanoscale solid-state qubits and superconducting qubits.
Physics Subject Headings (PhySH)
Article Text
References (72)
- J. Joseph, B. Kalyanaraman, and J. S. Hyde, Trapping of nitric oxide by nitronyl nitroxides: An electron spin resonance investigation, Biochem. Biophys. Res. Commun. 192, 926 (1993).
- R.-A. Eichel, Structural and dynamic properties of oxygen vacancies in perovskite oxides—analysis of defect chemistry by modern multi-frequency and pulsed EPR techniques, Phys. Chem. Chem. Phys. 13, 368 (2011).
- K. J. Reszka, P. Bilski, and C. F. Chignell, Spin trapping of nitric oxide by aci anions of nitroalkanes, Nitric Oxide 10, 53 (2004).
- Y. Y. Woldman, V. V. Khramtsov, I. A. Grigorev, I. A. Kiriljuk, and D. I. Utepbergenov, Spin trapping of nitric oxide by nitronylnitroxides: Measurement of the activity of NO synthase from rat cerebellum, Biochem. Biophys. Res. Commun. 202, 195 (1994).
- D. M. Bailey, B. Davies, I. S. Young, M. J. Jackson, G. W. Davison, R. Isaacson, and R. S. Richardson, EPR spectroscopic detection of free radical outflow from an isolated muscle bed in exercising humans, J. Appl. Physiol. 94, 1714 (2003).
- L. Hofmann and S. Ruthstein, EPR spectroscopy provides new insights into complex biological reaction mechanisms, J. Phys. Chem. B 126, 7486 (2022).
- P. Kuppusamy, M. Chzhan, K. Vij, M. Shteynbuk, D. J. Lefer, E. Giannella, and J. L. Zweier, Three-dimensional spectral-spatial EPR imaging of free radicals in the heart: A technique for imaging tissue metabolism and oxygenation, Proc. Natl. Acad. Sci. 91, 3388 (1994).
- H. M. Swartz, N. Khan, J. Buckey, R. Comi, L. Gould, O. Grinberg, A. Hartford, H. Hopf, H. Hou, E. Hug, A. Iwasaki, P. Lesniewski, I. Salikhov, and T. Walczak, Clinical applications of EPR: overview and perspectives, NMR Biomed. 17, 335 (2004).
- G. C. Rex and S. Schlick, Study of polymer gels using paramagnetic probes: e.s.r. spectra of in reversible polyacrylamide gels, Polymer 28, 2134 (1987).
- R. D. Harvey and S. Schlick, Study of morphology in interpenetrating polymer networks using paramagnetic spin probes, Polymer 30, 11 (1989).
- S. Felton, B. L. Cann, A. M. Edmonds, S. Liggins, R. J. Cruddace, M. E. Newton, D. Fisher, and J. M. Baker, Electron paramagnetic resonance studies of nitrogen interstitial defects in diamond, J. Phys.: Condens. Matter 21, 364212 (2009).
- C. Gionco, M. C. Paganini, E. Giamello, R. Burgess, C. Di Valentin, and G. Pacchioni, Paramagnetic defects in polycrystalline zirconia: An EPR and DFT study, Chem. Mater. 25, 2243 (2013).
- S. A. Goldman, G. V. Bruno, and J. H. Freed, ESR studies of anisotropic rotational reorientation and slow tumbling in liquid and frozen media. II. Saturation and nonsecular effects, J. Chem. Phys. 59, 3071 (1973).
- W. K. Schenken, Y. Liu, L. Krishna, A. A. A. Majid, C. A. Koh, P. C. Taylor, and R. T. Collins, Electron paramagnetic resonance study of type-II silicon clathrate with low sodium guest concentration, Phys. Rev. B 101, 245204 (2020).
- D. Schmalbein, G. G. Maresch, A. Kamlowski, and P. Hofer, The Bruker high-frequency-EPR system, Appl. Magn. Reson. 16, 185 (1999).
- F. Shi, Q. Zhang, P. Wang, H. Sun, J. Wang, X. Rong, M. Chen, C. Ju, F. Reinhard, H. Chen, J. Wrachtrup, J. Wang, and J. Du, Single-protein spin resonance spectroscopy under ambient conditions, Science 347, 1135 (2015).
- F. Shi, F. Kong, P. Zhao, X. Zhang, M. Chen, S. Chen, Q. Zhang, M. Wang, X. Ye, Z. Wang, Z. Qin, X. Rong, J. Su, P. Wang, P. Z. Qin, and J. Du, Single-DNA electron spin resonance spectroscopy in aqueous solutions, Nat. Methods 15, 697 (2018).
- M. S. Grinolds, M. Warner, K. De Greve, Y. Dovzhenko, L. Thiel, R. L. Walsworth, S. Hong, P. Maletinsky, and A. Yacoby, Subnanometre resolution in three-dimensional magnetic resonance imaging of individual dark spins, Nat. Nanotechnol. 9, 279 (2014).
- B. L. Dwyer, L. V. H. Rodgers, E. K. Urbach, D. Bluvstein, S. Sangtawesin, H. Zhou, Y. Nassab, M. Fitzpatrick, Z. Yuan, K. De Greve, E. L. Peterson, H. Knowles, T. Sumarac, J.-P. Chou, A. Gali, V. V. Dobrovitski, M. D. Lukin, and N. P. de Leon, Probing spin dynamics on diamond surfaces using a single quantum sensor, PRX Quantum 3, 040328 (2022).
- S. Sangtawesin, B. L. Dwyer, S. Srinivasan, J. J. Allred, L. V. H. Rodgers, K. De Greve, A. Stacey, N. Dontschuk, K. M. O’Donnell, D. Hu, D. A. Evans, C. Jaye, D. A. Fischer, M. L. Markham, D. J. Twitchen, H. Park, M. D. Lukin, and N. P. de Leon, Origins of diamond surface noise probed by correlating single-spin measurements with surface spectroscopy, Phys. Rev. X 9, 031052 (2019).
- M. Joos, D. Bluvstein, Y. Lyu, D. Weld, and A. B. Jayich, Protecting qubit coherence by spectrally engineered driving of the spin environment, npj Quantum Inf. 8, 47 (2022).
- Z. Peng, T. Biktagirov, F. H. Cho, U. Gerstmann, and S. Takahashi, Investigation of near-surface defects of nanodiamonds by high-frequency EPR and DFT calculation, J. Chem. Phys. 150, 134702 (2019).
- W. Zheng, K. Bian, X. Chen, Y. Shen, S. Zhang, R. Stöhr, A. Denisenko, J. Wrachtrup, S. Yang, and Y. Jiang, Coherence enhancement of solid-state qubits by local manipulation of the electron spin bath, Nat. Phys. 18, 1317 (2022).
- Y. Hao, Z. Yang, Z. Li, X. Kong, W. Tang, T. Xie, S. Xu, X. Ye, P. Yu, P. Wang, Y. Wang, Z. Qiao, L. Gao, J.-H. Jiang, F. Shi, and J. Du, Coherence enhancement via a diamond-graphene hybrid for nanoscale quantum sensing, Natl. Sci. Rev. 12, nwaf076 (2025).
- W. K. Lo, Y. Zhang, H. Y. Chow, J. Wu, M. Y. Leung, K. O. Ho, X. Du, Y. Chen, Y. Shen, D. Pan et al., Enhancement of quantum coherence in solid-state qubits via interface engineering, Nat. Commun. 16, 5984 (2025).
- K. S. Liu, A. Henning, M. W. Heindl, R. D. Allert, J. D. Bartl, I. D. Sharp, R. Rizzato, and D. B. Bucher, Surface NMR using quantum sensors in diamond, Proc. Natl. Acad. Sci. 119, e2111607119 (2022).
- B. Grotz, J. Beck, P. Neumann, B. Naydenov, R. Reuter, F. Reinhard, F. Jelezko, J. Wrachtrup, D. Schweinfurth, B. Sarkar, and P. Hemmer, Sensing external spins with nitrogen-vacancy diamond, New J. Phys. 13, 055004 (2011).
- H. J. Mamin, M. H. Sherwood, and D. Rugar, Detecting external electron spins using nitrogen-vacancy centers, Phys. Rev. B 86, 195422 (2012).
- U. Zvi, D. R. Candido, A. M. Weiss, A. R. Jones, L. Chen, I. Golovina, X. Yu, S. Wang, D. V. Talapin, M. E. Flatté, A. P. Esser-Kahn, and P. C. Maurer, Engineering spin coherence in core-shell diamond nanocrystals, Proc. Natl. Acad. Sci. 122, e2422542122 (2025).
- H. J. Mamin, M. H. Sherwood, and D. Rugar, Detecting external electron spins using nitrogen-vacancy centers, Phys. Rev. B 86, 195422 (2012).
- E. J. Davis, B. Ye, F. Machado, S. A. Meynell, W. Wu, T. Mittiga, W. Schenken, M. Joos, B. Kobrin, Y. Lyu et al., Probing many-body dynamics in a two-dimensional dipolar spin ensemble, Nat. Phys. 19, 836 (2023).
- G. N. Parsons, Functional model for analysis of ALD nucleation and quantificaiton of area-selective deposition, J. Vac. Sci. Technol. A 37, 020911 (2019).
- O. Nilsen, C. E. Mohn, A. Kjekshus, and H. Fjellvåg, Analytical model for island growth in atomic layer deposition using geometrical principles, J. Appl. Phys. 102, 1 (2007).
- J. C. Jones, N. Delegan, F. J. Heremans, and A. B. F. Martinson, Nucleation dependence of atomic layer deposition on diamond surface termination, Carbon 213, 118276 (2023).
- R. Vidrio, D. Vincent, B. Bachman, C. Saucedo, M. Zahedian, Z. Xu, J. Lai, T. A. Grotjohn, S. Kolkowitz, J.-H. Seo, R. J. Hamers, K. G. Ray, Z. Ma, and J. T. Choy, XPS anlaysis of molecular contamination and amorphous carbon on oxidized (100) diamond, Mater. Quantum Technol. 4, 025201 (2024).
- M. Xie, X. Yu, L. V. H. Rodgers, D. Xu, I. Chi-Duran, A. Toros, N. Quack, N. P. de Leon, and P. C. Maurer, Biocompatible surface functionalization architecture for a diamond quantum sensor, Proc. Natl. Acad. Sci. 119, e2114186119 (2022).
- M. E. Dufond, M. W. Diouf, C. Badie, C. Laffon, P. Parent, D. Ferry, D. Gross, J. C. S. Kools, S. D. Elliot, and L. Santinacci, Quantifying the extent of ligand incorporation and the effect on properties of thin films grown by atomic layer deposition using an alkoxide or an alkylamide, Chem. Mater. 32, 1393 (2020).
- A. O. Sushkov, I. Lovchinsky, N. Chisholm, R. L. Walsworth, H. Park, and M. D. Lukin, Magnetic resonance detection of individual proton spins using quantum reporters, Phys. Rev. Lett. 113, 197601 (2014).
- G. de Lange, T. van der Sar, M. Blok, Z.-H. Wang, V. Dobrovitski, and R. Hanson, Controlling the quantum dynamics of a mesoscopic spin bath in diamond, Sci. Rep. 2, 382 (2012).
- R. M. Goldblatt, A. M. Martin, and A. A. Wood, Sensing coherent nuclear spin dynamics with an ensemble of paramagnetic nitrogen spins, PRX Quantum 5, 020334 (2024).
- A. Laraoui, F. Dolde, C. Burk, F. Reinhard, J. Wrachtrup, and C. A. Meriles, High-resolution correlation spectroscopy of spins near a nitrogen-vacancy centre in diamond, Nat. Commun. 4, 1651 (2013).
- M. Schlipf and F. Gygi, Optimization algorithm for the generation of ONCV pseudopotentials, Comput. Phys. Commun. 196, 36 (2015).
- P. Giannozzi, S. Baroni, N. Bonini, M. Calandra, R. Car, C. Cavazzoni, D. Ceresoli, G. L. Chiarotti, M. Cococcioni, I. Dabo et al., Quantum ESPRESSO: a modular and open-source software project for quantum simulations of materials, J. Phys.: Condens. Matter 21, 395502 (2009).
- J. P. Perdew, K. Burke, and M. Ernzerhof, Generalized gradient approximation made simple, Phys. Rev. Lett. 77, 3865 (1996).
- J. Heyd, G. E. Scuseria, and M. Ernzerhof, Hybrid functionals based on a screened Coulomb potential, J. Chem. Phys. 118, 8207 (2003).
- J.-P. Chou, P. Udvarhelyi, N. P. de Leon, and A. Gali, Ab initio study of (100) diamond surface spins, Phys. Rev. Appl. 20, 014040 (2023).
- C. G. Van de Walle and R. M. Martin, Theoretical study of band offsets at semiconductor interfaces, Phys. Rev. B 35, 8154 (1987).
- K. Rezai, S. Choi, M. D. Lukin, and A. O. Sushkov, Probing dynamics of a two-dimensional dipolar spin ensemble using single qubit sensor, Phys. Rev. Lett. 134, 050801 (2025).
- M. Schaffry, E. M. Gauger, J. J. L. Morton, and S. C. Benjamin, Proposed spin amplification for magnetic sensors employing crystal defects, Phys. Rev. Lett. 107, 207210 (2011).
- D. B. Bucher, D. R. Glenn, H. Park, M. D. Lukin, and R. L. Walsworth, Hyperpolarization-enhanced NMR spectroscopy with femtomole sensitivity using quantum defects in diamond, Phys. Rev. X 10, 021053 (2020).
- J. Eills, D. Budker, S. Cavagnero, E. Y. Chekmenev, S. J. Elliott, S. Jannin, A. Lesage, J. Matysik, T. Meersmann, T. Prisner et al., Spin hyperpolarization in modern magnetic resonance, Chem. Rev. 123, 1417 (2023).
- A. Addhya, V. Tyne, X. Guo, I. N. Hammock, Z. Li, M. Leung, C. T. DeVault, D. D. Awschalom, N. Delegan, F. J. Heremans, and A. A. High, Photonic-cavity-enhanced laser writing of color centers in diamond, Nano Lett. 24, 11224 (2024).
- J. G. Bartholomew, K. de Oliveira Lima, A. Ferrier, and P. Goldner, Optical line width broadening mechanisms at the 10 kHz level in nanoparticles, Nano Lett. 17, 778 (2017).
- S. Liu, A. Fossati, D. Serrano, A. Tallaire, A. Ferrier, and P. Goldner, Defect engineering for quantum grade rare-earth nanocrystals, ACS Nano 14, 9953 (2020).
- M. Bal, A. A. Murthy, S. Zhu, F. Crisa, X. You, Z. Huang, T. Roy, J. Lee, D. van Zanten, R. Pilipenko et al., Systematic improvements in transmon qubit coherence enabled by niobium surface encapsulation, npj Quantum Inf. 10, 43 (2024).
- R. D. Chang, N. Shumiya, R. A. McLellan, Y. Zhang, M. P. Bland, F. Bahrami, J. Mun, C. Zhou, K. Kisslinger, G. Cheng et al., Eliminating surface oxides of superconducting circuits with noble metal encapsulation, Phys. Rev. Lett. 134, 097001 (2025).
- F. A. Stevie and C. L. Donley, Introduction to x-ray photoelectron spectroscopy, J. Vac. Sci. Technol. A 38, 1 (2020).
- G. G. Fuentes, E. Elizalde, F. Yubero, and J. M. Sanz, Electron inelastic mean free path for , , and as determined by quantititative reflection electron energy-loss spectroscopy, Surf. Interface Anal. 33, 230 (2002).
- S. Tanuma, C. J. Powell, and D. R. Penn, Calculations of electron inelastic mean free paths. IX. Data for 41 elemental solids over the 50 eV to 30 keV range, Surf. Interface Anal. 43, 689 (2011).
- C. G. Baldwin, J. E. Downes, C. J. McMahon, C. Bradac, and R. P. Mildren, Nanostructuing and oxidation of diamond by two-photon ultraviolet surface excitation: An XPS and NEXAFS study, Phys. Rev. B 89, 195422 (2014).
- B. Bharti, S. Kumar, H.-N. Lee, and R. Kumar, Formation of oxygen vacancies and state in thin films and enhanced optical properties by air plasma treatment, Sci. Rep. 6, 32355 (2016).
- R. Pandiyan, N. Delegan, A. Dirany, P. Drogui, and M. A. El Khakani, Probing the electronic surface properties and bandgap narrowing of in situ , , and (,) doped magnetron sputtered films intended for elctro-photocatalyic applications, J. Phys. Chem. C 120, 631 (2016).
- M. C. Biesinger, L. W. M. Lau, A. R. Gerson, and R. St. C. Smart, Resolving surface chemical states in XPS analysis of first row transition metals, oxides and hydroxides: , , , and , Appl. Surf. Sci. 257, 887 (2010).
- D. B. Bucher, D. P. L. Aude Craik, M. P. Backlund, M. J. Turner, O. Ben Dor, D. R. Glenn, and R. L. Walsworth, Quantum diamond spectrometer for nanoscale NMR and ESR spectroscopy, Nat. Protoc. 14, 2707 (2019).
- E. B. Fel’dman and S. Lacelle, Configurational averaging of dipolar interactions in magnetically diluted spin networks, J. Chem. Phys. 104, 2000 (1996).
- L. M. Pham, S. J. DeVience, F. Casola, I. Lovchinsky, A. O. Sushkov, E. Bersin, J. Lee, E. Urbach, P. Cappellaro, H. Park et al., NMR technique for determining the depth of shallow nitrogen-vacancy centers in diamond, Phys. Rev. B 93, 045425 (2016).
- L. G. Rowan, E. L. Hahn, and W. B. Mims, Electron-spin-echo envelope modulation, Phys. Rev. 137, A61 (1965).
- K. Zhang, S. Ghosh, S. Saxena, and M. V. G. Dutt, Nanoscale spin detection of copper ions using double electron-electron resonance at room temperature, Phys. Rev. B 104, 224412 (2021).
- W. Yang, W.-L. Ma, and R.-B. Liu, Quantum many-body theory for electron spin decoherence in nanoscale nuclear spin baths, Rep. Prog. Phys. 80, 016001 (2017).
- J. D. A. Wood, D. A. Broadway, L. T. Hall, A. Stacey, D. A. Simpson, J.-P. Tetienne, and L. C. L. Hollenberg, Wide-band nanoscale magnetic resonance spectroscopy using quantum relaxation of a single spin in diamond, Phys. Rev. B 94, 155402 (2016).
- K. Siegrist, 14.6: Non-homogeneous Poisson Processes, in Probability, Mathematical Statistics, and Stochastic Processes (Statistics LibreTexts), Online; accessed 14-Feb-2025 (2022), https://stats.libretexts.org/Bookshelves/Probability_Theory/Probability_Mathematical_Statistics_and_Stochastic_Processes_%28Siegrist%29/14%3A_The_Poisson_Process/14.06%3A_Non-homogeneous_Poisson_Processes.
- L. T. Hall, J. H. Cole, and L. C. L. Hollenberg, Analytic solutions to the central-spin problem for nitrogen-vacancy centers in diamond, Phys. Rev. B 90, 075201 (2014).