Abstract
We report on the synthesis and measurements of the temperature dependences of the resistivity ρ, the penetration depth λ, and the upper critical magnetic field H c2, for polycrystalline samples of dodecaboride ZrB12 and diboride MgB2. We conclude that ZrB12 behaves as a simple metal in the normal state with the usual Bloch-Grüneisen temperature dependence of ρ(T) and with a rather low resistive Debye temperature T R = 280 K (to be compared to T R = 900 K for MgB2). The ρ(T) and λ(T) dependences for these samples reveal a superconducting transition in ZrB12 at T c = 6.0 K. Although a clear exponential λ(T) dependence in MgB2 thin films and ceramic pellets was observed at low temperatures, this dependence was almost linear for ZrB12 below T c/2. These features indicate an s-wave pairing state in MgB2, whereas a d-wave pairing state is possible in ZrB12. In disagreement with conventional theories, we found a linear temperature dependence, of H c2(T) for ZrB12 (H c2(0) = 0.15 T).
Similar content being viewed by others
References
J. Nagamatsu, N. Nakagawa, T. Muranaka, et al., Nature 410, 63 (2001).
V. A. Gasparov, N. S. Sidorov, I. I. Zver’kova, and M. P. Kulakov, Pis’ma Zh. Éksp. Teor. Fiz. 73, 601 (2001) [JETP Lett. 73, 532 (2001)].
Z. Fisk, AIP Conf. Proc. 231, 155 (1991).
A. Yamamoto, C. Takao, T. Masui, et al., Physica C (Amsterdam) 383, 197 (2002).
R. Escamilla, O. Lovera, T. Akachi, et al., J. Phys.: Condens. Matter 16, 5979 (2004).
D. P. Young, R. G. Goodrich, P. W. Adams, et al., Phys. Rev. B 65, 180518(R) (2002).
D. Kaczorowski, A. J. Zaleski, O. J. Zogal, and J. Klamut, cond-mat/0103571; D. Kaczorowski, J. Klamut, and A. J. Zaleski, cond-mat/0104479.
H. Rosner, W. E. Pickett, S.-L. Drechsler, et al., Phys. Rev. B 64, 144516 (2001).
N. Ashcroft, Phys. Rev. Lett. 21, 1748 (1968).
J. Kortus, I. I. Mazin, K. D. Belashchenko, et al., Phys. Rev. Lett. 86, 4656 (2001).
M. L. Eremets, V. V. Struzhkin, H. K. Mao, and R. J. Hemley, Science 203, 272 (2001).
B. T. Matthias, T. H. Geballe, K. Andres, et al., Science 159, 530 (1968).
C. W. Chu and H. H. Hill, Science 159, 1227 (1968).
Z. Fisk, A. C. Lawson, B. T. Matthias, and E. Corenzwit, Phys. Lett. A 37A, 251 (1971).
K. Hamada, M. Wakata, N. Sugii, et al., Phys. Rev. B 48, 6892 (1993).
I. R. Shein and A. L. Ivanovskii, Fiz. Tverd. Tela (St. Petersburg) 45, 1363 (2003) [Phys. Solid State 45, 1429 (2003)].
A. Leithe-Jasper, A. Sato, T. Tanaka, et al., Z. Kristallogr.—New Cryst. Struct. 217, 319 (2002).
I. R. Shein, N. I. Medvedeva, and A. L. Ivanovskii, Fiz. Tverd. Tela (St. Petersburg) 45, 1541 (2003) [Phys. Solid State 45, 1617 (2003)].
M. Paranthaman, C. Cantoni, H. Y. Zhai, et al., Appl. Phys. Lett. 78, 3669 (2001).
V. A. Gasparov and A. P. Oganesyan, Physica C (Amsterdam) 178, 445 (1991).
A. Gauzzi, J. Le Cochec, G. Lamura, et al., Rev. Sci. Instrum. 71, 2147 (2000).
V. A. Gasparov, G. Tsydynzhapov, I. E. Batov, and Qi Li, J. Low Temp. Phys. 139, 49 (2005); V. A. Gasparov, I. Batov, Qi Li, and C. Kwon, Physica B (Amsterdam) 284–288, 1021 (2000); Czech. J. Phys. 46 (Suppl. S3), 1401 (1996); Proc. SPIE 2697, 391 (1996); Phys. Low-Dimens. Struct. 6 (12), 36 (1995).
G. Lamura, E. Di Gennaro, M. Salluzzo, et al., Phys. Rev. B 65, 020506 (2002).
V. A. Gasparov, M. R. Mkrtchyan, M. A. Obolensky, and A. V. Bondarenko, Physica C (Amsterdam) 231, 197 (1994).
V. A. Gasparov, M. P. Kulakov, N. S. Sidorov, et al., Pis’ma Zh. Éksp. Teor. Fiz. 80, 376 (2004) [JETP Lett. 80, 330 (2004)].
J. M. Ziman, Electrons and Phonons, Theory of Transport Phenomena in Solids (Oxford Univ. Press, Oxford, 1960; Inostrannaya Literatura, Moscow, 1962).
M. Putti, E. G. d’Agliano, D. Marré, et al., Eur. Phys. J. B 25, 439 (2002).
A. V. Sologubenko, J. Jun, S. M. Kazakov, et al., Phys. Rev. B 66, 014504 (2002).
N. V. Vol’kenshtein, V. P. Dyakina, and V. E. Startsev, Phys. Status Solidi 57, 9 (1973).
V. A. Gasparov and R. Huguenin, Adv. Phys. 42, 393 (1993).
I. I. Mazin, O. K. Andersen, O. Jepsen, et al., Phys. Rev. Lett. 89, 107002 (2002).
J. Halbritter, Z. Phys. 243, 201 (1971).
W. N. Hardy, D. A. Bonn, D. C. Morgan, et al., Phys. Rev. Lett. 70, 3999 (1993).
D. A. Bonn, S. Kamal, K. Zhang, et al., Phys. Rev. B 50, 4051 (1994).
N. Schopohl and O. V. Dolgov, Phys. Rev. Lett. 80, 4761 (1998); 81, 4025 (1998).
A. Carrington, F. Manzano, R. Prozorov, et al., Phys. Rev. Lett. 86, 1074 (2001).
F. Manzano, A. Carrington, N. E. Hussey, et al., Phys. Rev. Lett. 88, 047002 (2002).
Yu. A. Nefyodov, M. R. Trunin, A. F. Shevchun, et al., Europhys. Lett. 58, 422 (2002).
R. S. Gonnelli, D. Daghero, G. A. Ummarino, et al., Phys. Rev. Lett. 89, 247004 (2002).
A. Brinkman, A. A. Golubov, H. Rogalla, et al., Phys. Rev. B 65, 180517 (R) (2002); A. A. Golubov, A. Brinkman, O. V. Dolgov, et al., Phys. Rev. B 66, 054524 (2002).
F. Bouquet, Y. Wang, R. A. Fisher, et al., Europhys. Lett. 56, 856 (2001).
E. Helfand and N. R. Werthamer, Phys. Rev. Lett. 13, 686 (1964); Phys. Rev. 147, 288 (1966).
L. Lyard, P. Samuely, P. Szabo, et al., Phys. Rev. B 66, 180502 (R) (2002).
A. V. Sologubenko, J. Jun, S. M. Kazakov, et al., Phys. Rev. B 65, 180505 (R) (2002).
V. A. Gasparov, S. N. Ermolov, S. S. Khasanov, et al., Physica B (Amsterdam) 284–288, 1119 (2000).
Author information
Authors and Affiliations
Additional information
From Zhurnal Éksperimental’no\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) i Teoretichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Fiziki, Vol. 128, No. 1, 2005, pp. 115–124.
Original English Text Copyright © 2005 by Gasparov, Sidorov, Zver’kova, Khassanov, Kulakov.
This article was submitted by the authors in English.
Rights and permissions
About this article
Cite this article
Gasparov, V.A., Sidorov, N.S., Zver’kova, I.I. et al. Electron transport, penetration depth, and the upper critical magnetic field in ZrB12 and MgB2 . J. Exp. Theor. Phys. 101, 98–106 (2005). https://doi.org/10.1134/1.2010666
Received:
Issue Date:
DOI: https://doi.org/10.1134/1.2010666