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Topology driven magnetic memory of surface states
Phys. Rev. B 113, 134529 – Published 30 April, 2026
DOI: https://doi.org/10.1103/l3bd-c4my
Abstract
The development of superconducting data storage devices is one of the coveted goals for next-generation low-power electronics, and interaction between superconducting and nontrivial topological states can potentially be useful to achieve this goal. Here we show that the superconducting diboride hosts an anisotropic superconducting order parameter along with topological surface states which are spin polarized. Through the measurement of Andreev reflection on the surface of we find that the superconducting order parameter senses the spin polarization of the topological surface states. As a consequence, the order parameter retains the memory of the exposure to a magnetic field, leading to a magnetic-field-dependent hysteresis effect. Thus we present nanoscale metallic junctions made on the surface of as energy-efficient superconducting memory devices.
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References (54)
- M. Z. Hasan and C. L. Kane, Colloquium: Topological insulators, Rev. Mod. Phys. 82, 3045 (2010).
- X.-L. Qi and S.-C. Zhang, Topological insulators and superconductors, Rev. Mod. Phys. 83, 1057 (2011).
- C. Beenakker and L. Kouwenhoven, A road to reality with topological superconductors, Nat. Phys. 12, 618 (2016).
- M. Sato and Y. Ando, Topological superconductors: A review, Rep. Prog. Phys. 80, 076501 (2017).
- E. Majorana, Teoria simmetrica dell’elettrone e del positrone, Nuovo Cim. 14, 171 (1937).
- F. Wilczek, Majorana returns, Nat. Phys. 5, 614 (2009).
- J. Alicea, New directions in the pursuit of Majorana fermions in solid state systems, Rep. Prog. Phys. 75, 076501 (2012).
- L. Fu and C. L. Kane, Superconducting proximity effect and Majorana fermions at the surface of a topological insulator, Phys. Rev. Lett. 100, 096407 (2008).
- M.-X. Wang, C. Liu, J.-P. Xu, F. Yang, L. Miao, M.-Y. Yao, C. L. Gao, C. Shen, X. Ma, X. Chen, Z.-A. Xu, Y. Liu, S.-C. Zhang, D. Qian, J.-F. Jia, and Q.-K. Xue, The coexistence of superconductivity and topological order in the thin films, Science 336, 52 (2012).
- J.-P. Xu, M.-X. Wang, Z. L. Liu, J.-F. Ge, X. Yang, C. Liu, Z. A. Xu, D. Guan, C. L. Gao, D. Qian, Y. Liu, Q. H. Wang, F. C. Zhang, Q. K. Xue, and J. F. Jia, Experimental detection of a Majorana mode in the core of a magnetic vortex inside a topological insulator-superconductor heterostructure, Phys. Rev. Lett. 114, 017001 (2015).
- E. Wang, H. Ding, A. V. Fedorov, W. Yao, Z. Li, Y.-F. Lv, K. Zhao, L.-G. Zhang, Z. Xu, and J. Schneeloch, Fully gapped topological surface states in films induced by a -wave high-temperature superconductor, Nat. Phys. 9, 621 (2013).
- N. S. Mehta, B. Patra, M. Garg, G. Mohmad, M. Monish, P. Bhardwaj, P. K. Meena, K. Motla, R. P. Singh, B. Singh, and G. Sheet, Topological surface states host superconductivity induced by the bulk condensate in , Phys. Rev. B 109, L241104 (2024).
- Y. W. Li, H. J. Zheng, and Y. Q. Fang, et al., Observation of topological superconductivity in a stoichiometric transition metal dichalcogenide 2M-, Nat. Commun. 12, 2874 (2021).
- S.-Y. Guan, P.-J. Chen, M.-W. Chu, R. Sankar, F. Chou, H.-T. Jeng, C.-S. Chang, and T.-M. Chuang, Superconducting topological surface states in the noncentrosymmetric bulk superconductor , Sci. Adv. 2, e1600894 (2016).
- S. Schimmel, Y. Fasano, S. Hoffmann, J. Besproswanny, L. T. Corredor Bohorquez, J. Puig, B.-C. Elshalem, B. Kalisky, G. Shipunov, D. Baumann, S. Aswartham, B. Büchner, and C. Hess, Surface superconductivity in the topological Weyl semimetal t-, Nat. Commun. 15, 9895 (2024).
- J. Nagamatsu, N. Nakagawa, T. Muranaka, Y. Zenitani, and J. Akimitsu, Superconductivity at 39 K in magnesium diboride, Nature (London) 410, 63 (2001).
- P. Szabó, P. Samuely, J. Kačmarčík, T. Klein, J. Marcus, D. Fruchart, S. Miraglia, C. Marcenat, and A. G. M. Jansen, Evidence for two superconducting energy gaps in by point-contact spectroscopy, Phys. Rev. Lett. 87, 137005 (2001).
- R. S. Gonnelli, D. Daghero, G. A. Ummarino, V. A. Stepanov, J. Jun, S. M. Kazakov, and J. Karpinski, Direct evidence for two-band superconductivity in single crystals from directional point-contact spectroscopy in magnetic fields, Phys. Rev. Lett. 89, 247004 (2002).
- H. Schmidt, J. F. Zasadzinski, K. E. Gray, and D. G. Hinks, Evidence for two-band superconductivity from break-junction tunneling on , Phys. Rev. Lett. 88, 127002 (2002).
- F. Giubileo, D. Roditchev, W. Sacks, R. Lamy, D. X. Thanh, J. Klein, S. Miraglia, D. Fruchart, J. Marcus, and P. Monod, Two-gap state density in : A true bulk property or a proximity effect? Phys. Rev. Lett. 87, 177008 (2001).
- M. Iavarone, G. Karapetrov, A. E. Koshelev, W. K. Kwok, G. W. Crabtree, D. G. Hinks, W. N. Kang, E. M. Choi, H. J. Kim, and S. I. Lee, Two-band superconductivity in , Phys. Rev. Lett. 89, 187002 (2002).
- F. Bouquet, R. A. Fisher, N. E. Phillips, D. G. Hinks, and J. D. Jorgensen, Specific heat of : Evidence for a second energy gap, Phys. Rev. Lett. 87, 047001 (2001).
- Y. Singh, A. Niazi, M. D. Vannette, R. Prozorov, and D. C. Johnston, Superconducting and normal-state properties of the layered boride , Phys. Rev. B 76, 214510 (2007).
- Y. Singh, C. Martin, S. L. Bud'ko, A. Ellern, R. Prozorov, and D. C. Johnston, Multigap superconductivity and Shubnikov–de Haas oscillations in single crystals of the layered boride , Phys. Rev. B 82, 144532 (2010).
- J. Bekaert, S. Vercauteren, A. Aperis, L. Komendová, R. Prozorov, B. Partoens, and M. V. Milošević, Anisotropic type-I superconductivity and anomalous superfluid density in , Phys. Rev. B 94, 144506 (2016).
- A. F. Andreev, The thermal conductivity of the intermediate state in superconductors, Zh Eksp. Teor. Fiz. 46, 1823 (1964) [Sov. Phys. JETP 19, 1228 (1964)].
- Y. G. Naidyuk, J. G. Najdjuk, and I. Yanson, Point-contact Spectroscopy (Springer Science and Business Media, New York, 2005), Vol. 145 .
- A. M. Duif, A. G. M. Jansen, and P. Wyder, Point-contact spectroscopy, J. Phys.: Condens. Matter 1, 3157 (1989).
- G. E. Blonder, M. Tinkham, and T. M. Klapwijk, Transition from metallic to tunneling regimes in superconducting microconstrictions: Excess current, charge imbalance, and supercurrent conversion, Phys. Rev. B 25, 4515 (1982).
- We note that the measured gap amplitudes are slightly higher than the calculated values in Ref. [25]. This might be due to the measurement at a lower temperature and may also be related to the choice of in the theoretical calculations.
- J. Bardeen, L. N. Cooper, and J. R. Schrieffer, Theory of superconductivity, Phys. Rev. 108, 1175 (1957).
- M. Tinkham, Introduction to Superconductivity (McGraw-Hill, New York, 1996).
- R. Verma, B. Patra, and B. Singh, Topological nonsymmorphic insulator versus Dirac semimetal in KZnBi, Electron. Struct. 5, 045011 (2023).
- T. L. Gilbert, A phenomenological theory of damping in ferromagnetic materials, IEEE Trans. Magn. 40, 3443 (2004).
- S. Das and G. Sheet, A modular point contact spectroscopy probe for sub-Kelvin applications, Rev. Sci. Instrum. 90, 103903 (2019).
- National Instruments, LabVIEW (National Instruments, Austin, TX).
- N. Troullier and J. L. Martins, Efficient pseudopotentials for plane-wave calculation, Phys. Rev. B 43, 1993 (1991).
- M. J. van Setten, M. Giantomassi, E. Bousquet, M. J. Verstraete, D. R. Hamann, X. Gonze, and G.-M. Rignanese, The PseudoDojo: Training and grading a 85 element optimized norm-conserving pseudopotential table, Comput. Phys. Commun. 226, 39 (2018).
- P. Giannozzi et al., Advanced capabilities for materials modelling with Quantum ESPRESSO, J. Phys.: Condens. Matter 29, 465901 (2017).
- J. P. Perdew, K. Burke, and M. Ernzerhof, Generalized gradient approximation made simple, Phys. Rev. Lett. 77, 3865 (1996).
- A. A. Mostofi, J. R. Yates, G. Pizzi, Y.-S. Lee, I. Souza, D. Vanderbilt, and N. Marzari, An updated version of wannier90: A tool for obtaining maximally-localised Wannier functions, Comput. Phys. Commun. 185, 2309 (2014).
- F. Giustino, M. L. Cohen, and S. G. Louie, Electron-phonon interaction using Wannier functions, Phys. Rev. B 76, 165108 (2007).
- S. Poncé, E. R. Margine, C. Verdi, and F. Giustino, EPW: Electron-phonon coupling, transport and superconducting properties using maximally localized Wannier functions, Comput. Phys. Commun. 209, 116 (2016).
- A. Pleceník, M. Grajcar, Š. Beňačka, P. Seidel, and A. Pfuch, Finite-quasiparticle-lifetime effects in the differential conductance of /Au junctions, Phys. Rev. B 49, 10016 (1994).
- P. Raychaudhuri, D. Jaiswal-Nagar, G. Sheet, S. Ramakrishnan, and H. Takeya, Evidence of gap anisotropy in superconducting using directional point-contact spectroscopy, Phys. Rev. Lett. 93, 156802 (2004).
- G. Wexler, The size effect and the nonlocal Boltzmann transport equation in orifice and disk geometry, Proc. Phys. Soc. 89, 927 (1966).
- G. Sheet, S. Mukhopadhyay, and P. Raychaudhuri, Role of critical current on the point-contact Andreev reflection spectra between a normal metal and a superconductor, Phys. Rev. B 69, 134507 (2004).
- R. Kumar and G. Sheet, Nonballistic transport characteristics of superconducting point contacts, Phys. Rev. B 104, 094525 (2021).
- I. I. Mazin, How to define and calculate the degree of spin polarization in ferromagnets, Phys. Rev. Lett. 83, 1427 (1999).
- R. J. Soulen Jr., J. M. Byers, M. S. Osofsky, B. Nadgorny, T. Ambrose, S. F. Cheng, P. R. Broussard, C. T. Tanaka, J. Nowak, J. S. Moodera, A. Barry, and J. M. D. Coey, Measuring the spin polarization of a metal with a superconducting point contact, Science 282, 85 (1998).
- K. Borisov, C.-Z. Chang, J. S. Moodera, and P. Stamenov, High Fermi-level spin polarization in the family of topological insulators: A point contact Andreev reflection study, Phys. Rev. B 94, 094415 (2016).
- S. Das, A. Sirohi, G. Kumar Gupta, S. Kamboj, A. Vasdev, S. Gayen, P. Guptasarma, T. Das, and G. Sheet, Discovery of highly spin-polarized conducting surface states in the strong spin-orbit coupling semiconductor , Phys. Rev. B 97, 235306 (2018).
- S. Das, Amit, A. Sirohi, L. Yadav, S. Gayen, Y. Singh, and G. Sheet, Conventional superconductivity in the type-II Dirac semimetal , Phys. Rev. B 97, 014523 (2018).
- T. Hanaguri, K. Igarashi, M. Kawamura, H. Takagi, and T. Sasagawa, Momentum-resolved Landau-level spectroscopy of Dirac surface state in , Phys. Rev. B 82, 081305(R) (2010).