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Superconductivity of and at ambient- and under applied-pressure conditions
Phys. Rev. Materials 6, 064804 – Published 27 June, 2022
DOI: https://doi.org/10.1103/PhysRevMaterials.6.064804
Abstract
and compounds belong to the binary or 5 metal) family of superconductors, whose critical temperature depends strongly on . Despite the multiphase nature of these samples, it is possible to investigate the superconducting properties of and at the macro- and microscopic level. A concurrent analysis by means of magnetization and heat-capacity measurements, as well as muon-spin spectroscopy was implemented. At ambient pressure, both compounds enter the superconducting state below K and K and show modest upper critical fields [ mT and mT, respectively]. In , the temperature-dependent superfluid density suggests a fully gapped superconducting state, well-described by an -wave model with a single energy gap. Heat-capacity data confirm that such a model applies to both compounds. Finally, ac magnetic susceptibility measurements under applied pressures up to 2.1 GPa reveal a linear suppression of the superconducting temperature, typical of conventional superconducting compounds.
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References (45)
- R. L. Falge Jr., Superconductivity of hexagonal beryllium, Phys. Lett. A 24, 579 (1967).
- D. Duan, Y. Liu, Y. Ma, Z. Shao, B. Liu, and T. Cui, Structure and superconductivity of hydrides at high pressures, Natl. Sci. Rev. 4, 121 (2017).
- D. V. Semenok, A. G. Kvashnin, I. A. Kruglov, and A. R. Oganov, Actinium hydrides , , and , as high-temperature conventional superconductors, J. Phys. Chem. Lett. 9, 1920 (2018).
- E. Bucher and C. Palmy, Superconductivity and isotope effect in X compounds and molybdenum, Phys. Lett. A 24, 340 (1967).
- T. Shang, A. Amon, D. Kasinathan, W. Xie, M. Bobnar, Y. Chen, A. Wang, M. Shi, M. Medarde, H. Q. Yuan, and T. Shiroka, Enhanced and multiband superconductivity in the fully-gapped superconductor, New J. Phys. 21, 073034 (2019).
- J. Lim, A. C. Hire, Y. Quan, J. Kim, L. Fanfarillo, S. R. Xie, R. S. Kumar, C. Park, R. J. Hemley, Y. K. Vohra, R. G. Hennig, P. J. Hirschfeld, G. R. Stewart, and J. J. Hamlin, High-pressure study of the low- rich superconductor , Phys. Rev. B 104, 064505 (2021).
- N. N. Matyushenko, A. A. Matsakova, and N. S. Pugachev, Superconductivity of some transition metal-beryllium compounds, Ukr. Fiz. Zh. 18, 672 (1973).
- P. Donze, F. Heiniger, J. Muller, M. Peter, and P. Spitzli, Electronic properties of superconducting compounds with a minor fraction of transition metal atoms, in Proceedings of the International Conference on Low Temperature Physics, edited by J. F. Allen, D. M. Finlayson, and D. M. McCall (St. Andrews University Press, St. Andrews, Scotland, 1969), Vol. 2, pp. 1021–1024.
- A. Amon, E. Svanidze, R. Cardoso-Gil, M. N. Wilson, H. Rosner, M. Bobnar, W. Schnelle, J. W. Lynn, R. Gumeniuk, C. Hennig, G. M. Luke, H. Borrmann, A. Leithe-Jasper, and Y. Grin, Noncentrosymmetric superconductor BeAu, Phys. Rev. B 97, 014501 (2018).
- A. Amon, A. Ormeci, M. Bobnar, L. G. Akselrud, M. Avdeev, R. Gumeniuk, U. Burkhardt, Y. Prots, C. Hennig, A. Leithe-Jasper, and Y. Grin, Cluster formation in the superconducting complex intermetallic compound , Acc. Chem. Res. 51, 214 (2018).
- A. Amon, I. Zelenina, P. Simon, M. Bobnar, M. Naumann, E. Svanidze, F. Arnold, H. Borrmann, U. Burkhardt, W. Schnelle, E. Hassinger, A. Leithe-Jasper, and Y. Grin, Tracking aluminium impurities in single crystals of the heavy-fermion superconductor , Sci. Rep. 8, 10654 (2018).
- A. Amon, E. Svanidze, Y. Prots, M. Nicklas, U. Burkhardt, A. Ormeci, A. Leithe-Jasper, and Y. Grin, —A non-centrosymmetric cage superconductor with multi-centre bonding in the framework, Dalton Trans. 49, 9362 (2020).
- E. Svanidze, A. Amon, M. Nicklas, Y. Prots, M. Juckel, H. Rosner, U. Burkhardt, M. Avdeev, Y. Grin, and A. Leithe-Jasper, Superconductivity and magnetism in ( Y, La–Nd, Sm–Lu): A family of crystallographically complex noncentrosymmetric compounds, Phys. Rev. Materials 5, 074801 (2021).
- P. Koželj, M. Juckel, A. Amon, Y. Prots, A. Ormeci, U. Burkhardt, M. Brando, A. Leithe-Jasper, Y. Grin, and E. Svanidze, Non-centrosymmetric superconductor and heavy-fermion cage compounds, Sci. Rep. 11, 22352 (2021).
- A. Amon, Rare earth and actinide beryllides: Structural chemistry and physical properties, in Handbook on the Physics and Chemistry of Rare Earths: Including Actinides, edited by J.-C. G. Bünzli and V. K. Pecharsky (Elsevier, Amsterdam, 2021), Vol. 59, Chap. 319, pp. 93–140.
- J. Beare, M. Nugent, M. N. Wilson, Y. Cai, T. J. S. Munsie, A. Amon, A. Leithe-Jasper, Z. Gong, S. L. Guo, Z. Guguchia, Y. Grin, Y. J. Uemura, E. Svanidze, and G. M. Luke, and magnetometry study of the type-I superconductor BeAu, Phys. Rev. B 99, 134510 (2019).
- R. Khasanov, R. Gupta, D. Das, A. Amon, A. Leithe-Jasper, and E. Svanidze, Multiple-gap response of type-I noncentrosymmetric BeAu superconductor, Phys. Rev. Res. 2, 023142 (2020).
- R. Khasanov, R. Gupta, D. Das, A. Leithe-Jasper, and E. Svanidze, Single-gap versus two-gap scenario: Specific heat and thermodynamic critical field of the noncentrosymmetric superconductor BeAu, Phys. Rev. B 102, 014514 (2020).
- A. Leithe-Jasper, H. Borrmann, and W. Hönle, Laboratory of High Safety Standard (LHS), Scientific Report (Max Planck Institute for Chemical Physics of Solids, Dresden, 2006).
- H. Okamoto and L. E. Tanner, The Be-W (Beryllium-Tungsten) system, Bull. Alloy Phase Diagrams 7, 356 (1986).
- Binary Alloy Phase Diagrams, edited by T. B. Massalski, H. Okamoto, P. R. Subramanian, and L. Kacprzak, (ASM International, Materials Park, OH, 1990).
- P. I. Kripyakevich and E. I. Gladyshevskii, The crystal structures of beryllium-rich compounds in the systems Mo-Be and W-Be, Soviet Phys.-Cryst. 8, 349 (1963) [Kristallografiya 8, 449 (1963)].
- R. M. Paine and J. A. Carrabine, Some new intermetallic compounds of beryllium, Acta Crystallogr. 13, 680 (1960).
- See Supplemental Material at http://link.aps.org/supplemental/10.1103/PhysRevMaterials.6.064804 for crystallographic information for the and phases.
- A. Suter and B. M. Wojek, Musrfit: A free platform-independent framework for data analysis, Phys. Procedia 30, 69 (2012).
- S. Klotz, Techniques in High Pressure Neutron Scattering (CRC Press, Boca Raton, FL, 2013).
- M. S. Torikachvili, S. K. Kim, E. Colombier, S. L. Bud'ko, and P. C. Canfield, Solidification and loss of hydrostaticity in liquid media used for pressure measurements, Rev. Sci. Instrum. 86, 123904 (2015).
- Z. Shermadini, Iron based pnictide and chalcogenide superconductors studied by muon spin spectroscopy, Ph.D. thesis, TU Dresden, Dresden, 2014.
- R. Khasanov, Z. Guguchia, A. Maisuradze, D. Andreica, M. Elender, A. Raselli, Z. Shermadini, T. Goko, F. Knecht, E. Morenzoni, and A. Amato, High pressure research using muons at the Paul Scherrer Institute, High Press. Res. 36, 140 (2016).
- M. Bendele, A. Amato, K. Conder, M. Elender, H. Keller, H.-H. Klauss, H. Luetkens, E. Pomjakushina, A. Raselli, and R. Khasanov, Pressure Induced Static Magnetic Order in Superconducting , Phys. Rev. Lett. 104, 087003 (2010).
- S. Samson, The crystal structure of the intermetallic compound , Acta Crystallogr. 11, 851 (1958).
- S. Samson, The crystal structure of the intermetallic compound , Acta Crystallogr. 14, 1229 (1961).
- P. Kripyakevich and O. Zarechnyuk, compounds in systems of rare earth metals and calcium, and their crystal structures, Dopov. Akad. Nauk Ukr. RSR, Ser. A 30, 364 (1968).
- F. Laves and H. Witte, Investigations in the Mg-Cu-Al System, Especially on the Section, Metallwirtschaft 15, 15 (1936).
- Due to difficulties in cutting the samples into a suitable shape and in estimating the exact W/ sample fraction, the exact demagnetization factor could not be taken into account. Given the nearly spherical sample shape, if a value of is taken into account, the resultant is reduced very slightly. On the other hand, EDX analyses estimate that the samples contain 40% of the Mo/ phase (see Sec. 2), resulting in a significant reduction of the value. Nonetheless, the bulk nature of superconductivity in Mo/ samples is confirmed via specific-heat measurements (see Sec. 3).
- Y. N. Ovchinnikov and V. Z. Kresin, Critical magnetic field in layered superconductors, Phys. Rev. B 52, 3075 (1995).
- H. Drickamer, The effect of high pressure on the electronic structure of solids, in Solid State Physics, edited by F. Seitz and D. Turnbull (Academic Press, New York, 1965), Vol. 17, pp. 1–133.
- A. Eiling and J. S. Schilling, Pressure and temperature dependence of electrical resistivity of Pb and Sn from 1–300 K and 0–10 GPa—use as continuous resistive pressure monitor accurate over wide temperature range; superconductivity under pressure in Pb, Sn, and In, J. Phys. F: Met. Phys. 11, 623 (1981).
- Atomic and ionic radii, http://abulafia.mt.ic.ac.uk/shannon/radius.php, accessed Jan. 10, 2022.
- J. J. Hamlin, Superconductivity studies at extreme pressure, Ph.D. thesis, Washington University, St. Louis, Missouri, 2007.
- E. H. Brandt, Properties of the ideal Ginzburg-Landau vortex lattice, Phys. Rev. B 68, 054506 (2003).
- A. Maisuradze, R. Khasanov, A. Shengelaya, and H. Keller, Comparison of different methods for analyzing line shapes in the vortex state of type-II superconductors, J. Phys.: Condens. Matter 21, 075701 (2009), and references therein.
- W. Barford and J. M. F. Gunn, The theory of the measurement of the London penetration depth in uniaxial type II superconductors by muon spin rotation, Physica C: Superconductivity 156, 515 (1988).
- M. Tinkham, Introduction to Superconductivity, 2nd ed. (Dover Publications, Mineola, NY, 1996).
- A. Carrington and F. Manzano, Magnetic penetration depth of , Physica C: Superconductivity 385, 205 (2003).