Studies of Superconducting BDD films and their use in Novel Superconducting Devices
Once the boron doping in diamond exceeds a density of about 1020 cm-3, the material will show metal-like behaviour in electrical conductivity. Moreover, upon cooling these highly boron-doped diamond samples below around 10 K they exhibit superconductivity, that follows the standard Bardeen-Cooper-Schrieffer (BCS) theory with the current being carried via pairs of coupled electrons called Cooper pairs. This means that heavily boron-doped diamond (BDD) may be used in superconducting devices, such as sensors, detectors or quantum circuits, which consume much less power, have high sensitivity, and operate very rapidly.
Things become even more interesting when polycrystalline diamond is doped to superconducting levels, as the material then behaves as what's known as a 'granular superconductor'. Each crystallite in the film is a perfect superconductor, but they are joined to their neighbours via grain boundaries with lower conductivity, which act as 'weak links' or Josephson junctions. Thus, a granular highly BDD superconductor can be considered as being a 3D network of superconducting grains connected via multiple Josephson junctions. The electrical behaviour of such systems can be rather strange, leading to unusual or even bizarre phenomena.
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Schematic illustration of weak disorder–tuned superconductor–bosonic insulator transition in 3D BDD systems. (a) A disorder-free 3D system undergoes the metal-superconductor transition directly (blue curve), while in many cases a small degree of disorder delays the onset of global superconductivity by tuning the system into a bosonic insulator first. A sequence of transitions [metal–bosonic insulator–superconductor, labeled from (1) to (4) in the figure] gives rise to the anomalous narrow ρ(T) peak just preceding the onset of the global superconducting state ρ=0 at lower temperature (upper curve). (b) Schematic representation of the metal–bosonic insulator–superconductor transition with panels numbered in accordance with panel (a). Disorder is depicted by spatial variation of the potential U(ρ); quasiparticles ![]() ![]() |
For over 12 years we have been collaborating with Dr Gufei Zhang (KU Leuven, then the University of Southern Denmark, then Harbin Institute of Technology, and now at the Slovak Academy of Sciences) to study the behaviour of such systems. We have identified the following unusual interesting phenomena in these polycrysalline diamond films:
- A sharp resistance increase prior to the superconducting transition in 3D diamond films grown onto a tungsten wire.
- Localization of Cooper pairs in hybrids of amorphous carbon and superconducting diamond grains
- Compression-tuned quantum confinement and coherence in superconducting BDD.
- The percolative nature of the electrical transport in polycrystalline BDD films.
- An unusual superconducting anisotropy, namely the out-of-plane upper critical magnetic field is much larger than the in-plane critical field, opposite to that seen in any other superconducting films.
- A giant negative magnetoresistance in BDD ring structures.
- A reentrant resistive state induced by quantum phase slips in 3D BDD nanowires.
- The coexistence of two mutually antagonistic macroscopic quantum states with opposite spin configurations – superconductivity and ferromagnetism – in hydrogenated BDD films.
- Emergent magnetoelectronic phenomena such as a giant positive magnetoresistance, a highly nonlinear Hall effect, and long-range coherent Yu-Shiba-Rusinov states in hydrogenated BDD films.
Diamond Superconducting Quantum DevicesThese various discoveries have led to a number of suggestions for use of BDD in novel superconducting devices. For example, one of the most challenging problems faced by the development of quantum computers is the limited integration density of qubits, because the more qubits you put onto a quantum chip, the more vulnerable a qubit becomes, due to the influence from other qubits. The long-range Yu-Shiba-Rusinov states, which we found in ferromagnetic superconducting diamond, can be used to implement topologically protected qubits with an extraordinarily high robustness surpassing that of other types of qubits. This may be crucial for the development of a range of quantum technologies, such as spin qubits. Recently, our discovery of giant negative magnetoresistance in a BDD ring structure suggests applications for magnetometry, as well as cavities to trap Cooper pairs for potential applications in other quantum devices, e.g., artificial atoms for charge qubits. |
![]() Superconducting Diamond Ring Structure. When the superconducting current meets the ring, it can choose to go clockwise or anticlockwise around the ring. It turns out that this choice is quantised. Such structures might be used to fabricate superconducting quantum switches. |
Example papers
Many of these papers can also be seen on Dr Zhang's website.
- G. Zhang, M. Zeleznik, J. Vanacken, P.W. May, and V.V. Moshchalkov, "Metal-bosonic insulator-superconductor transition in boron-doped granular diamond", Phys. Rev. Letts. 110 (2013) 077001. [doi: 10.1103/PhysRevLett.110.077001]
- G. Zhang, T. Samuely, Z. Xu, J.K. Jochum, A. Volodin, S. Zhou, P.W. May , O. Onufriienko, J. Kačmarčík, J.A. Steele, J. Li, J. Vanacken, J. Vacík, P. Szabó, H. Yuan, M.B.J. Roeffaers, D. Cerbu, P. Samuely, J. Hofkens, and VV. Moshchalkov, "Superconducting Ferromagnetic Nanodiamond", ACS Nano 11 (2017) 5358-5366. [doi: 10.1021/acsnano.7b01688].
- G. Zhang, Gufei, T. Samuely, H. Du, Z. Xu, L. Liu, O. Onufriienko, P.W. May, J. Vanacken, P. Szabó, J. Kačmarčík, H. Yuan, P. Samuely, R. Dunin-Borkowski, J. Hofkens, V. Moshchalkov, "Bosonic Confinement and Coherence in Disordered Nanodiamond Arrays", ACS Nano 11 (2017) 11746-11754. [doi: 10.1021/acsnano.7b07148].
- O. Onufriienko, T. Samuely G. Zhang, J. Vanacken, Zheng Xu, P.W. May, P. Szabó, V.V. Moshchalkov and P. Samuely, "Superconducting Density of States in B-Doped Diamond", Acta Physica Polonica A 131 (2017) 1033-35. [doi: 10.12693/APhysPolA.131.1033].
- G. Zhang, Y. Zhou, S. Korneychuk, T. Samuely, L. Liu, P.W. May, Z. Xu, O. Onufriienko, J. Zhang, J. Verbeeck, P. Samuely, V.V. Moshchalkov, Z. Yang, H.-G. Rubahn, "Superconductor-insulator transition driven by pressure-tuned intergrain coupling in nanodiamond films", Phys. Rev. Mater. 3 (2019) 034801. [doi: 10.1103/PhysRevMaterials.3.034801].
- G. Zhang, J. Kačmarčík, Z. Wang, R. Zulkharnay, M. Marcin, X. Ke, S. Chiriaev, V. Adashkevich, P. Szabó, Y. Li, P. Samuely, V.V. Moshchalkov, P.W. May, H.-G. Rubahn, "Anomalous anisotropy in superconducting nanodiamond films induced by crystallite geometry", Phys. Rev. Appl. 12 (2019) 064042. [doi: 10.1103/PhysRevApplied.12.064042].
- G. Zhang, T. Samuely, N. Iwahara, J. Kačmarčík, C. Wang, P.W. May, J.K. Jochum, O. Onufriienko, P. Szabó, S. Zhou, P. Samuely, V.V. Moshchalkov, L.F. Chibotaru, H.-G. Rubahn, "Yu-Shiba-Rusinov bands in ferromagnetic superconducting diamond", Sci. Adv. 6 (2020) eaaz2536. [doi: 10.1126/sciadv.aaz2536].
- G. Zhang, R. Zulkharnay, X. Ke, M. Liao, L. Liu, Y. Li, H.-G. Rubahn, V.V. Moshchalkov, P.W. May, "Unconventional giant ‘magnetoresistance’ in bosonic semiconducting diamond nanorings", Adv. Mater. (2023) 2211129. pdf [doi: 10.1002/adma.202211129]
- G. Zhang, R. Zulkharnay, F. Ganss, Y. Guo, M. Alkhalifah, L. Yang, S. Zhang, S. Zhou, P. Li, Y. Li, V.V. Moshchalkov, J. Zhu, P.W. May, "Annealing-induced evolution of boron-doped polycrystalline diamond", Phys. Rev. Mater. 8, (2024) 044802. [doi: 10.1103/PhysRevMaterials.8.044802]
- Gufei Zhang, Simon Collienne, Ramiz Zulkharnay, Xiaoxing Ke, Liwang Liu, Songyu Li, Sen Zhang, Yongzhe Zhang, Yejun Li, N. Asger Mortensen, Victor V. Moshchalkov, Jiaqi Zhu, Alejandro V. Silhanek, and Paul W. May, "Quantum Depletion of Superconductivity in Three-Dimensional Diamond Nanowires", Adv. Quantum Technol. (2024) 2400476. [doi: 10.1002/qute.202400476].