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Effect of the four-sheet Fermi surface on magnetoresistivity of MgB2

  • Solid and Condensed State Physics
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Abstract.

Recent experimental data of anisotropic magnetoresistivity measured in MgB2 films have shown an intriguing behaviour: the angular dependence of magnetoresistivity changes dramatically with temperature and disorder. In order to explain such phenomenology, in this work, we extend our previous analyses on multiband transverse magnetoresistivity in magnesium diboride, by calculating its analytic expression, assuming a constant anisotropic Fermi surface mass tensor. The calculation is done for arbitrary orientation of the magnetic field with respect to the crystalline axes and for the current density either perpendicular or parallel to the magnetic field. This approach allows to extract quite univocally the values of the scattering times in the σ- and π-bands by fitting experimental data with a simple analytic expression. We also extend the analysis to the magnetoresistivity of polycrystalline samples, with an arbitrary angle between the current density and the magnetic field, taking into account the anisotropy of each randomly oriented grain. Thereby, we propose magnetoresistivity as a very powerful characterization tool to explore the effect of disorder by irradiation or selective doping as well as of phonon scattering in each one of the two types of bands, in single crystals and polycrystalline samples, which is a crucial issue in the study of magnesium diboride.

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References

  • I.I. Mazin, V.P. Antropov, Physica C 385, 49 (2003); A.A. Golubov, I.I. Mazin, Phys. Rev. B 55, 15146 (1997)

    Article  ADS  Google Scholar 

  • J. Kortus, I.I. Mazin, K.D. Belashchenko, V.P. Antropov, L.L. Boyer, Phys. Rev. Lett. 86, 4656 (2001)

    Article  ADS  Google Scholar 

  • M. Ortolani, D. Di Castro, P. Postorino, I. Pallecchi, M. Monni, M. Putti, P. Dore, Phys. Rev. B 71, 172508 (2005)

    Article  ADS  Google Scholar 

  • B.B. Jin, T. Dahm, A.I. Gubin, Eun-Mi Choi, Hyun Jung Kim, Sung-IK Lee, W.N. Kang, N. Klein, Phys. Rev. Lett. 91, 127006 (2003)

    Article  ADS  Google Scholar 

  • V. Braccini, A. Gurevich, J.E. Giencke, M.C. Jewell, C.B. Eom, D.C. Larbalestier, A. Pogrebnyakov, Y. Cui, B.T. Liu, Y.F. Hu, J.M. Redwing, Qi Li, X.X. Xi, R.K. Singh, R. Gandikota, J. Kim, B. Wilkens, N. Newman, J. Rowell, B. Moeckly, V. Ferrando, C. Tarantini, D. Marré, M. Putti, C. Ferdeghini, R. Vaglio, E. Haanappel, Phys. Rev. B 71, 012504 (2005)

    Article  ADS  Google Scholar 

  • A. Gurevich, Phys. Rev. B 67, 184515 (2003)

    Article  MathSciNet  ADS  Google Scholar 

  • S.L. Bud'ko, C. Petrovic, G. Lapertot, C.E. Cunningham, P.C. Canfield, M.H. Jung, A.H. Lacerda, Phys. Rev. B 63, 220503(R) (2001)

    Article  ADS  Google Scholar 

  • M.H. Jung, M. Jaime, A.H. Lacerda, G.S. Boebinger, W.N. Kang, H.J. Kim, E.M. Choi, S.I. Lee, Chem. Phys. Lett. 343, 447 (2001)

    Article  Google Scholar 

  • X.H. Chen, Y.S. Wang, Y.Y. Xue, R.L. Meng, Y.Q. Wang, C.W. Chu, Phys. Rev. B 65, 024502 (2001)

    Article  ADS  Google Scholar 

  • G. Fuchs, K.H. Müller, A. Handstein, K. Nenkov, V.N. Narozhnyi, D. Eckert, M. Wolf, L. Schultz, Solid State Commun. 118, 497 (2001)

    Article  Google Scholar 

  • I. Pallecchi, V. Braccini, E. Galleani d'Agliano, M. Monni, A.S. Siri, P. Manfrinetti, A. Palenzona, M. Putti, Phys. Rev. B 71, 104519 (2005)

    Article  ADS  Google Scholar 

  • I. Pallecchi, V. Ferrando, E. Galleani D'Agliano, D. Marré, M. Monni, M. Putti, C. Tarantini, F. Gatti, H.U. Aebersold, E. Lehmann, X.X. Xi, E.G. Haanappel, C. Ferdeghini, Phys. Rev. B 72, 184512 (2005)

    Article  ADS  Google Scholar 

  • A. Gurevich, Phys. Rev. B 67, 184515 (2003); A.A. Golubov, A.E. Koshelev, Phys. Rev. B 68, 104503 (2003)

    Article  MathSciNet  ADS  Google Scholar 

  • Qi Li, B.T. Liu, Y.F. Hu, J. Chen, H. Gao, L. Shan, H.H. Wen, A.V. Pogrebnyakov, J.M. Redwing, X.X. Xi, Phys. Rev. Lett. 96, 167003 (2006)

    Article  ADS  Google Scholar 

  • J.R. Peierls, Ann. Physik 10, 97 (1931); A.H. Wilson, The theory of metals (Cambridge University Press, 1953)

    MATH  Google Scholar 

  • J.M. Ziman, Principles of the theory of solids, 2nd edn. (Cambridge University Press, 1972)

  • These values have been calculated on the basis of the electronic band structure of [G. Profeta, A. Continenza, S. Massidda, Phys. Rev. B 68, 144508 (2003)]

    Article  ADS  Google Scholar 

  • D.D. Koelling, J.H. Wood J. Comp. Phys. 67, 253 (1986)

    Google Scholar 

  • Ph. Lambin, J.P. Vigneron, Phys. Rev. B 29, 3430 (1984)

    Article  ADS  Google Scholar 

  • We do not discuss here the possibility of preparing samples whose b varies in such a wide range while maintaining its resistivity as low as 1 μΩ cm. By converse, if the resistivity increases too much, also the band structure at the Fermi level may result severely affected by disorder and/or doping and the parameters of this calculation should be modified accordingly. On the other hand, in heavily disordered samples, the magnetoresistivity is negligibly small and this method cannot be applied anyway.

  • A. Carrington, P.J. Meeson, J.R. Cooper, L. Balicas, N.E. Hussey, E.A. Yelland, S. Lee, A. Yamamoto, S. Tajima, S.M. Kazakov, J. Karpinski, Phys. Rev. Lett. 91, 037003 (2003)

    Article  ADS  Google Scholar 

  • J.M. Ziman, Electrons and phonons (Oxford Press, 1960), p. 493

  • M. Iavarone, G. Karapetrov, A. Menzel, V. Komanicky, H. You, W.K. Kwok, P. Orgiani, V. Ferrando, X.X. Xi, Appl. Phys. Lett. 87, 242506 (2005)

    Article  Google Scholar 

  • For example: R.W. Arenz, C.F. Clark, W.N. Lawless, Phys. Rev. B 26, 2727 (1982)

    Article  ADS  Google Scholar 

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Pallecchi, I., Monni, M., Ferdeghini, C. et al. Effect of the four-sheet Fermi surface on magnetoresistivity of MgB2 . Eur. Phys. J. B 52, 171–179 (2006). https://doi.org/10.1140/epjb/e2006-00278-6

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