Nature of electron paramagnetic resonance in a heavy fermion Kondo lattice

S. I. Belov ; A. M. Skvortsova ; A. S. Kutuzov ; B. I. Kochelaev

Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 153 (2011) no. 1, pp. 38-47

Résumé

A theoretical model of spin relaxation is proposed to explain the existence of electron paramagnetic resonance (EPR) signal in Kondo lattice systems with heavy fermions. We show that the collective spin motion of quasi-localized $f$-electrons and wide-band conduction electrons is the key ingredient for understanding this phenomenon. A simple scaling theory describes the evolution of Kondo coupling constants with temperature providing for a common energy scale that regulates a logarithmic divergence of different kinetic coefficients. Our model successfully explains the temperature and magnetic field dependence of EPR linewidth and resonance frequency as experimentally observed in $\mathrm{YbRh_2Si_2}$.

Détail

Keywords: electron paramagnetic resonance, Kondo lattice, heavy fermions, Kondo effect, collective spin mode.

Bibliographie

[1] Sichelschmidt J., Ivanshin V.A., Ferstl J., Geibel C., Steglich F., “Low temperature electron spin resonance of the Kondo ion in a heavy fermion metal: $\mathrm{YbRh_2Si_2}$”, Phys. Rev. Lett., 91:15 (2003), 156401-1–156401-4 | DOI

[2] Sichelschmidt J., Wykhoff J., Krug von Nidda H-A., Ferstl J., Geibel C., Steglich F., “Spin dynamics of $\mathrm{YbRh_2Si_2}$ observed by electron spin resonance”, J. Phys.: Condens. Matter., 19:11 (2007), 116204-1–116204-6 | DOI

[3] Sichelschmidt J., Wykhoff J., Krug von Nidda H-A., Fazlishanov I. I., Hossain Z. Krellner C., Geibel C., Steglich F., “Electron spin resonance of $\mathrm{YbIr_2Si_2}$ below the Kondo temperature”, J. Phys.: Condens. Matter., 19:1 (2007), 016211-1–016211-6 | DOI

[4] Schaufuss U., Kataev V., Zvyagin A. A., Buchner B., Sichelschmidt J., Wykhoff J., Krellner C., Geibel C., Steglich F., “Evolution of the Kondo state of $\mathrm{YbRh_2Si_2}$ probed by high-field ESR”, Phys. Rev. Lett., 102:7 (2009), 076405-1–076405-4 | DOI

[5] Kutuzov A. S., Skvortsova A. M., Belov S. I., Sichelschmidt J., Wykhoff J., Eremin I., Krellner C., Geibel C., Kochelaev B. I., “Magnetic susceptibility of $\mathrm{YbRh_2Si_2}$ and $\mathrm{YbIr_2Si_2}$ on the basis of a localized 4f electron approach”, J. Phys.: Condens. Matter., 20:45 (2008), 455208-1–455208-6 | DOI

[6] Stockert O., Koza M. M., Ferstl J., Murani A. P., Geibel C., Steglich F., “Crystalline electric field excitations of the non-Fermi-liquid $\mathrm{YbRh_2Si_2}$”, Physica B, 378–380 (2006), 157–158 | DOI

[7] Hiess A., Stockert O., Koza M. M., Hossain Z., Geibel C., “Magnetisation dynamics of $\mathrm{YbIr_2Si_2}$”, Physica B, 378–380 (2006), 748–749 | DOI

[8] Anderson P. W., “A poor man's derivation of scaling laws for the Kondo problem”, J. Phys. C: Solid State Phys., 3:12 (1970), 2436–2442 | DOI

[9] Kochelaev B. I., Safina A. M., “Rezhim elektronnogo uzkogo gorla dlya paramagnitnykh primesei v metallakh v sluchae anizotropnogo obmennogo vzaimodeistviya”, Fiz. tverd. tela, 46:2 (2004), 224–227

[10] Barnes S. E., “Theory of electron spin resonance of magnetic ions in metals”, Adv. Phys., 30:6 (1981), 801–938 | DOI

[11] Abragam A., Blini B., Elektronnyi paramagnitnyi rezonans perekhodnykh ionov, v. 1, Mir, M., 1972, 652 pp.

[12] Kutuzov A. S., Skvortsova A. M., “Determination of tetragonal crystalline electric field parameters for $\mathrm{Yb^{3+}}$ and $\mathrm{Ce^{3+}}$ ions from experimental $g$-factors values and energy levels of Kramers doublets”, Magn. Reson. Solids, 11:1 (2009), 7–13