Abstract
Physicists are engaged in vigorous debate on the nature of the quantum critical points (QCP) governing the low-temperature properties of heavy-fermion metals. Recent experimental observations of the much-studied compound YbRh2Si2 in the regime of vanishing temperature incisively probe the nature of its magnetic-field-tuned QCP. The jumps revealed both in the residual resistivity ρ0 and the Hall resistivity R H, along with violation of the Wiedemann-Franz law, provide vital clues to the origin of such non-Fermi-liquid behavior. The empirical facts point unambiguously to association of the observed QCP with a fermion-condensation phase transition. Based on this insight, the resistivities ρ0 and R H are predicted to show jumps at the crossing of the QCP produced by application of a magnetic field, with attendant violation of the Wiedemann-Franz law. It is further demonstrated that experimentally identifiable multiple energy scales are related to the scaling behavior of the effective mass of the quasiparticles responsible for the low-temperature properties of such heavy-fermion metals.
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References
G. R. Stewart, Rev. Mod. Phys. 73, 797 (2001).
H. v. Löhneysen, A. Rosch, M. Vojta, and P. Wölfle, Rev. Mod. Phys. 79, 1015 (2007).
P. Gegenwart, Q. Si, and F. Steglich, Nature Phys. 4, 186 (2008).
S. Sachdev, Nature Phys. 4, 173 (2008).
P. Coleman and A. J. Schofield, Nature 433, 226 (2005).
K. Kadowaki and S. B. Woods, Solid State Commun. 58, 507 (1986).
V. R. Shaginyan, M. Ya. Amusia, A. Z. Msezane, and K. G. Popov, Phys. Rep. 492, 31 (2010).
V. R. Shaginyan, Phys. At. Nucl. 74, 1107 (2011).
V. A. Khodel, J. W. Clark, and M. V. Zverev, Phys. At. Nucl. 74, 1230 (2011).
P. Coleman, C. Pepin, Q. Si, and R. Ramazashvili, J. Phys.: Condens. Matter 13, R723 (2001).
P. Coleman and C. Pepin, Physica B 312–313, 383 (2002).
V. A. Khodel, JETP Lett. 86, 721 (2007).
J. W. Clark, V. A. Khodel, and M. V. Zverev, Int. J. Mod. Phys. B 24, 4901 (2010).
V. A. Khodel and V. R. Shaginyan, JETP Lett. 51, 553 (1990).
G. E. Volovik, Lect. Notes Phys. 718, 31 (2007).
P. Gegenwart et al., Science 315, 969 (2007).
S. Friedemann et al., Proc. Natl. Acad. Sci. USA 107, 14547 (2010).
S. Friedemann et al., J. Phys.: Condens. Matter 23, 094216 (2011).
H. Pfau et al., Nature 484, 493 (2012).
P. Schlottmann, Z. Phys. B: Condens. Matter 51, 223 (1983).
D. Pines and P. Noziéres, Theory of Quantum Liquids (Benjamin, New York, 1966).
P. Noziéres, J. Phys. I France 2, 443 (1992).
J. W. Clark, V. A. Khodel, and M. V. Zverev, Phys. Rev. B 71, 012401 (2005).
P. Gegenwart et al., Phys. Rev. Lett. 89, 056402 (2002).
V. R. Shaginyan, JETP Lett. 79, 286 (2004).
D. Takahashi et al., Phys. Rev. B 67, 180407 (2003).
J. Custers et al., Nature 424, 524 (2003).
V. A. Khodel and M. V. Zverev, JETP Lett. 85, 404 (2007).
S. Ernst et al., Nature 474, 363 (2011).
V. R. Shaginyan, A. Z. Msezane, K. G. Popov, et al., Phys. Rev. B 86, 085147 (2012).
P. Aynajian et al., Nature 486, 201 (2012).
S. Hikami, A. I. Larkin, and Y. Nagaoka, Prog. Theor. Phys. 63, 707 (1980).
J. Paglione et al., Pys. Rev. Lett. 91, 246405 (2003).
V. R. Shaginyan, JETP Lett. 81, 222 (2005).
V. R. Shaginyan and K. G. Popov, Phys. Lett. A 361, 406 (2007).
W. K. Park and L. H. Greene, J. Phys.: Condens. Matter 21, 103203 (2009).
M. R. Norman, Q. Si, Ya. B. Bazaliy, and R. Ramazashvili, Phys. Rev. Lett. 90, 116601 (2002).
V. A. Khodel, M. V. Zverev, and J. W. Clark, JETP Lett. 81, 315 (2005).
S. Paschen et al., Nature 432, 881 (2004).
V. R. Shaginyan, P. G. Popov, and S. A. Artamonov, JETP Lett. 82, 215 (2005).
V. A. Khodel, V. M. Yakovenko, and M. V. Zverev, JETP Lett. 86, 772 (2007).
E. M. Lifshitz and L. P. Pitaevskii, Physical Kinetics (Pergamon, Oxford, 1981).
N. W. Ashkroft and N. D. Mermin, Solid State Physics (HRW, Philadelphia, 1976).
N. Oeschler et al., Physica B 403, 1254 (2008).
V. R. Shaginyan et al., Phys. Lett. A 373, 986 (2009).
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Shaginyan, V.R., Msezane, A.Z., Popov, K.G. et al. Nature of the quantum critical point as disclosed by extraordinary behavior of magnetotransport and the lorentz number in the heavy-fermion metal YbRh2Si2 . Jetp Lett. 96, 397–404 (2012). https://doi.org/10.1134/S0021364012180105
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DOI: https://doi.org/10.1134/S0021364012180105