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Aharonov-Bohm and Altshuler-Aronov-Spivak oscillations in the quasiballistic regime in phase-pure GaAs/InAs core/shell nanowires
Phys. Rev. B 112, 075301 – Published 1 August, 2025
DOI: https://doi.org/10.1103/xljl-s1lp
Abstract
The realization of various qubit systems based on high-quality hybrid superconducting quantum devices is often achieved using semiconductor nanowires. For such hybrid devices, a good coupling between the superconductor and the conducting states in the semiconductor wire is crucial. GaAs/InAs core/shell nanowires with an insulating core and a conductive InAs shell fulfill this requirement, since the electronic states are strongly confined near the surface. However, maintaining a good crystal quality in the conducting shell is a challenge for this type of nanowire. In this work, we present phase-pure zinc-blende GaAs/InAs core/shell nanowires and analyze their low-temperature magnetotransport properties. We observe pronounced magnetic flux quantum periodic oscillations, which can be attributed to a combination of Aharonov-Bohm and Altshuler-Aronov-Spivak oscillations. From the gate and temperature dependence of the conductance oscillations, as well as from supporting theoretical transport calculations, we conclude that the conducting states in the shell are in the quasiballistic transport regime, with few scattering centers, but nevertheless leading to an Altshuler-Aronov-Spivak correction that dominates at small magnetic field strengths. Our results demonstrate that phase-pure zinc-blende GaAs/InAs core/shell nanowires represent a very promising alternative semiconductor-nanowire-based platform for hybrid quantum devices.
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References (54)
- G. Badawy and E. P. A. M. Bakkers, Electronic transport and quantum phenomena in nanowires, Chem. Rev. 124, 2419 (2024).
- G. de Lange, B. van Heck, A. Bruno, D. J. van Woerkom, A. Geresdi, S. R. Plissard, E. P. A. M. Bakkers, A. R. Akhmerov, and L. DiCarlo, Realization of microwave quantum circuits using hybrid superconducting-semiconducting nanowire Josephson elements, Phys. Rev. Lett. 115, 127002 (2015).
- T. W. Larsen, K. D. Petersson, F. Kuemmeth, T. S. Jespersen, P. Krogstrup, J. Nygård, and C. M. Marcus, Semiconductor-nanowire-based superconducting qubit, Phys. Rev. Lett. 115, 127001 (2015).
- L. Tosi, C. Metzger, M. F. Goffman, C. Urbina, H. Pothier, S. Park, A. L. Yeyati, J. Nygård, and P. Krogstrup, Spin-orbit splitting of Andreev states revealed by microwave spectroscopy, Phys. Rev. X 9, 011010 (2019).
- C. Metzger, S. Park, L. Tosi, C. Janvier, A. A. Reynoso, M. F. Goffman, C. Urbina, A. Levy Yeyati, and H. Pothier, Circuit-QED with phase-biased Josephson weak links, Phys. Rev. Res. 3, 013036 (2021).
- P. Zellekens, R. Deacon, P. Perla, D. Grützmacher, M. I. Lepsa, T. Schäpers, and K. Ishibashi, Microwave spectroscopy of Andreev states in InAs nanowire-based hybrid junctions using a flip-chip layout, Commun. Phys. 5, 267 (2022).
- A. Yazdani, F. von Oppen, B. I. Halperin, and A. Yacoby, Hunting for Majoranas, Science 380, eade0850 (2023).
- S. Wirths, K. Weis, A. Winden, K. Sladek, C. Volk, S. Alagha, T. E. Weirich, M. von der Ahe, H. Hardtdegen, H. Lüth, N. Demarina, D. Grützmacher, and T. Schäpers, Effect of Si-doping on InAs nanowire transport and morphology, J. Appl. Phys. 110, 053709 (2011).
- Y. Tserkovnyak and B. I. Halperin, Magnetoconductance oscillations in quasiballistic multimode nanowires, Phys. Rev. B 74, 245327 (2006).
- T. O. Rosdahl, A. Manolescu, and V. Gudmundsson, Spin and impurity effects on flux-periodic oscillations in core-shell nanowires, Phys. Rev. B 90, 035421 (2014).
- G. Ferrari, A. Bertoni, G. Goldoni, and E. Molinari, Cylindrical two-dimensional electron gas in a transverse magnetic field, Phys. Rev. B 78, 115326 (2008).
- A. Manolescu, G. A. Nemnes, A. Sitek, T. O. Rosdahl, S. I. Erlingsson, and V. Gudmundsson, Conductance oscillations of core-shell nanowires in transversal magnetic fields, Phys. Rev. B 93, 205445 (2016).
- Y. Aharonov and D. Bohm, Significance of electromagnetic potentials in the quantum theory, Phys. Rev. 115, 485 (1959).
- O. Gül, N. Demarina, C. Blömers, T. Rieger, H. Lüth, M. I. Lepsa, D. Grützmacher, and T. Schäpers, Flux periodic magnetoconductance oscillations in GaAs/InAs core/shell nanowires, Phys. Rev. B 89, 045417 (2014).
- C. Blömers, T. Rieger, P. Zellekens, F. Haas, M. I. Lepsa, H. Hardtdegen, O. Gül, N. Demarina, D. Grützmacher, H. Lüth, and T. Schäpers, Realization of nanoscaled tubular conductors by means of GaAs/InAs core/shell nanowires, Nanotechnology 24, 035203 (2013).
- F. Haas, T. Wenz, P. Zellekens, N. Demarina, T. Rieger, M. Lepsa, D. Grützmacher, H. Lüth, and T. Schäpers, Angle-dependent magnetotransport in GaAs/InAs core/shell nanowires, Sci. Rep. 6, 24573 (2016).
- F. Haas, P. Zellekens, T. Wenz, N. Demarina, T. Rieger, M. I. Lepsa, D. Grützmacher, H. Lüth, and T. Schäpers, Anisotropic phase coherence in GaAs/InAs core/shell nanowires, Nanotechnology 28, 445202 (2017).
- P. Zellekens, N. Demarina, J. Janßen, T. Rieger, M. I. Lepsa, P. Perla, G. Panaitov, H. Lüth, D. Grützmacher, and T. Schäpers, Phase coherent transport and spin-orbit interaction in GaAs/InSb core/shell nanowires, Semicond. Sci. Technol. 35, 085003 (2020).
- M. Jung, J. S. Lee, W. Song, Y. H. Kim, S. D. Lee, N. Kim, J. Park, M.-S. Choi, S. Katsumoto, H. Lee, and J. Kim, Quantum interference in radial heterostructure nanowires, Nano Lett. 8, 3189 (2008).
- H. Peng, K. Lai, D. Kong, S. Meister, Y. Chen, X.-L. Qi, S.-C. Zhang, Z.-X. Shen, and Y. Cui, Aharonov-Bohm interference in topological insulator nanoribbons, Nat. Mater. 9, 225 (2010).
- S. Cho, B. Dellabetta, R. Zhong, J. Schneeloch, T. Liu, G. Gu, M. J. Gilbert, and N. Mason, Aharonov-Bohm oscillations in a quasi-ballistic three-dimensional topological insulator nanowire, Nat. Commun. 6, 7634 (2015).
- Y. C. Arango, L. Huang, C. Chen, J. Avila, M. C. Asensio, D. Grützmacher, H. Lüth, J. G. Lu, and T. Schäpers, Quantum transport and nano angle-resolved photoemission spectroscopy on the topological surface states of single nanowires, Sci. Rep. 6, 29493 (2016).
- J. Ziegler, R. Kozlovsky, C. Gorini, M.-H. Liu, S. Weishäupl, H. Maier, R. Fischer, D. A. Kozlov, Z. D. Kvon, N. Mikhailov, S. A. Dvoretsky, K. Richter, and D. Weiss, Probing spin helical surface states in topological HgTe nanowires, Phys. Rev. B 97, 035157 (2018).
- D. Rosenbach, K. Moors, A. R. Jalil, J. Kölzer, E. Zimmermann, J. Schubert, S. Karimzadah, G. Mussler, P. Schüffelgen, D. Grützmacher, H. Lüth, and T. Schäpers, Gate-induced decoupling of surface and bulk state properties in selectively-deposited nanoribbons, SciPost Phys. Core 5, 017 (2022).
- H.-S. Kim, T.-H. Hwang, N.-H. Kim, Y. Hou, D. Yu, H.-S. Sim, and Y.-J. Doh, Adjustable quantum interference oscillations in Sb-doped topological insulator nanoribbons, ACS Nano 14, 14118 (2020).
- M. M. Jansen, P. Perla, M. Kaladzhian, N. von den Driesch, J. Janssen, M. Luysberg, M. I. Lepsa, D. Grützmacher, and A. Pawlis, Phase-pure wurtzite GaAs nanowires grown by self-catalyzed selective area molecular beam epitaxy for advanced laser devices and quantum disks, ACS Appl. Nano Mater. 3, 11037 (2020).
- S. Vaitiekėnas, G. Winkler, B. van Heck, T. Karzig, M.-T. Deng, K. Flensberg, L. Glazman, C. Nayak, P. Krogstrup, R. Lutchyn et al., Flux-induced topological superconductivity in full-shell nanowires, Science 367, 6485 (2020).
- M. T. Deng, C. Payá, P. San-Jose, E. Prada, C. M. Marcus, and S. Vaitiekėnas, Caroli–de Gennes–Matricon analogs in full-shell hybrid nanowires, Phys. Rev. Lett. 134, 206302 (2025).
- C. W. Groth, M. Wimmer, A. R. Akhmerov, and X. Waintal, Kwant: A software package for quantum transport, New J. Phys. 16, 063065 (2014).
- See Supplemental Material at http://link.aps.org/supplemental/10.1103/xljl-s1lp for experimental details, transmission electron microscopy studies, additional magnetotransport measurements, and modeling.
- B. L. Al'tshuler, A. G. Aronov, and B. Z. Spivak, Aharonov-Bohm effect in disordered conductors, JETP Lett. 33, 94 (1981).
- D. Y. Sharvin and Y. V. Sharvin, Magnetic-flux quantization in a cylindrical film of a normal metal, JETP Lett. 34, 272 (1981).
- A. G. Aronov and Y. V. Sharvin, Magnetic flux effects in disordered conductors, Rev. Mod. Phys. 59, 755 (1987).
- S. E. Hernández, M. Akabori, K. Sladek, C. Volk, S. Alagha, H. Hardtdegen, M. G. Pala, N. Demarina, D. Grützmacher, and T. Schäpers, Spin-orbit coupling and phase coherence in InAs nanowires, Phys. Rev. B 82, 235303 (2010).
- L. C. Mur, C. J. P. M. Harmans, and W. G. van der Wiel, Competition between and oscillations in a semiconductor Aharonov-Bohm interferometer, New J. Phys. 10, 073031 (2008).
- S. L. Ren, J. J. Heremans, S. Vijeyaragunathan, T. D. Mishima, and M. B. Santos, Determination of time-reversal symmetry breaking lengths in an InGaAs interferometer array, J. Phys.: Condens. Matter 27, 185801 (2015).
- C. P. Umbach, C. Van Haesendonck, R. B. Laibowitz, S. Washburn, and R. A. Webb, Direct observation of ensemble averaging of the Aharonov-Bohm effect in normal-metal loops, Phys. Rev. Lett. 56, 386 (1986).
- R. Kubo, Statistical-mechanical theory of irreversible processes. I. General theory and simple applications to magnetic and conduction problems, J. Phys. Soc. Jpn. 12, 570 (1957).
- R. Winkler, Spin-Orbit Coupling Effects in Two-Dimensional Electron and Hole Systems (Springer, Berlin, 2003).
- C. P. Umbach, P. Santhanam, C. van Haesendonck, and R. A. Webb, Nonlocal electrical properties in mesoscopic devices, Appl. Phys. Lett. 50, 1289 (1987).
- P. A. Lee, A. D. Stone, and H. Fukuyama, Universal conductance fluctuations in metals: Effects of finite temperature, interactions, and magnetic field, Phys. Rev. B 35, 1039 (1987).
- R. Webb, S. Washburn, C. Umbach, F. Milliken, R. Laibowitz, and A. Benoit, The Aharonov-Bohm effect in normal metals-non-ensemble averaged quantum transport, Phys. A (Amsterdam, Neth.) 140, 175 (1986).
- A. E. Hansen, A. Kristensen, S. Pedersen, C. B. Sørensen, and P. E. Lindelof, Mesoscopic decoherence in Aharonov-Bohm rings, Phys. Rev. B 64, 045327 (2001).
- G. Seelig and M. Büttiker, Charge-fluctuation-induced dephasing in a gated mesoscopic interferometer, Phys. Rev. B 64, 245313 (2001).
- T. Ludwig and A. D. Mirlin, Interaction-induced dephasing of Aharonov-Bohm oscillations, Phys. Rev. B 69, 193306 (2004).
- J. Dufouleur, L. Veyrat, A. Teichgräber, S. Neuhaus, C. Nowka, S. Hampel, J. Cayssol, J. Schumann, B. Eichler, O. G. Schmidt, B. Büchner, and R. Giraud, Quasiballistic transport of Dirac fermions in a nanowire, Phys. Rev. Lett. 110, 186806 (2013).
- Y. Oreg, G. Refael, and F. von Oppen, Helical liquids and Majorana bound states in quantum wires, Phys. Rev. Lett. 105, 177002 (2010).
- R. M. Lutchyn, J. D. Sau, and S. Das Sarma, Majorana fermions and a topological phase transition in semiconductor-superconductor heterostructures, Phys. Rev. Lett. 105, 077001 (2010).
- E. Prada, P. San-Jose, M. W. de Moor, A. Geresdi, E. J. Lee, J. Klinovaja, D. Loss, J. Nygård, R. Aguado, and L. P. Kouwenhoven, From Andreev to Majorana bound states in hybrid superconductor-semiconductor nanowires, Nat. Rev. Phys. 2, 575 (2020).
- A. Zazunov, V. S. Shumeiko, E. N. Bratus, J. Lantz, and G. Wendin, Andreev level qubit, Phys. Rev. Lett. 90, 087003 (2003).
- O. Gül, H. Y. Günel, H. Lüth, T. Rieger, T. Wenz, F. Haas, M. Lepsa, G. Panaitov, D. Grützmacher, and T. Schäpers, Giant magnetoconductance oscillations in hybrid superconductor-semiconductor core/shell nanowire devices, Nano Lett. 14, 6269 (2014).
- P. Zellekens, R. S. Deacon, F. Basaric, R. Juluri, M. D. Randle, B. Bennemann, C. Krause, E. Zimmermann, A. M. Sanchez, D. Grützmacher, A. Pawlis, K. Ishibashi, and T. Schäpers, Flux-periodic supercurrent oscillations in an Aharonov-Bohm-type nanowire Josephson junction, arXiv:2402.13880.
- W. Albrecht, J. Moers, and B. Hermanns, HNF-Helmholtz nano facility, J. Large-Scale Res. Facil. 3, A112 (2017).
- F. Basarić, V. Brajović, G. Behner, K. Moors, W. Schaarman, A. Manolescu, R. Juluri, A. M. Sanchez, J. H. Bae, H. Lüth, D. Grützmacher, A. Pawlis, and T. Schäpers, Data for: Aharonov-Bohm and Altshuler-Aronov-Spivak oscillations in the quasi-ballistic regime in phase-pure GaAs/InAs core/shell nanowires, JülichDATA (2025), https://doi.org/10.26165/JUELICH-DATA/D94JMC.