Dependence of transport coefficients of Yb(Rh1−xCox)2Si2 intermetallics on temperature and cobalt concentration

Dependence of transport coefficients of the $\mathrm{Yb}{({\mathrm{Rh}}_{1\ensuremath{-}x}{\mathrm{Co}}_{x})}_{2}{\mathrm{Si}}_{2}$ series of alloys on temperature and cobalt concentration is explained by an asymmetric Anderson model which takes into account the exchange scattering of conduction electrons on ytterbium ions and the splitting of $4f$ states by the crystalline electric field (CEF). The substitution of rhodium by cobalt is described as an increase of chemical pressure which reduces the exchange coupling and the CEF splitting. The scaling analysis and numerical NCA solution of the model show that the effective degeneracy of the $4f$ state at a given temperature depends on the relative magnitude of the Kondo scale and the CEF splitting. Thus, we find that dependence of the thermopower, $S(T)$, on temperature and cobalt concentration can be understood as an interplay of quantum fluctuations, driven by the Kondo effect, and thermal fluctuations, which favor a uniform occupation of the CEF states. The theoretical model captures all the qualitative features of the experimental data and it explains the evolution of the shape of $S(T)$ with the increase of cobalt concentration.

[1]  C. Krellner,et al.  Thermopower Evolution in Yb(Rh1−Co)2Si2 Upon 4f Localization , 2019 .

[2]  N. Brookes,et al.  Similar temperature scale for valence changes in Kondo lattices with different Kondo temperatures , 2016, Nature Communications.

[3]  R. Monnier,et al.  Modern Theory of Thermoelectricity , 2014 .

[4]  P. Canfield,et al.  Thermoelectric power of the YbT2Zn20 (T = Fe, Ru, Os, Ir, Rh, and Co) heavy fermions , 2010, 1007.4244.

[5]  M. Brando,et al.  Evolution of magnetism in Yb(Rh1-xCox)2Si2 , 2011, 1104.1285.

[6]  Z. Fisk,et al.  Energy scales of Lu1-xYbxRh2Si2 by means of thermopower investigations , 2008, 0802.1827.

[7]  C. Geibel,et al.  Crystalline electric field excitations of the non-Fermi-liquid YbRh2Si2 , 2006 .

[8]  R. Monnier,et al.  Theory of the thermoelectricity of intermetallic compounds with Ce or Yb ions , 2005, cond-mat/0501519.

[9]  B. Delley,et al.  High-pressure transport properties of CeRu2Ge2 , 2004, cond-mat/0408280.

[10]  A. Amann,et al.  TRANSITION FROM HEAVY FERMION METAL TO 16 K SUPERCONDUCTOR IN SINGLE CRYSTAL YbxLu(1-x)Ni2B2C: TRANSPORT STUDIES , 1999 .

[11]  D. Andreica,et al.  Transport properties and μSR spectroscopy of Yb(NixCu1−x)2Si2 , 1999 .

[12]  G. Mahan Seebeck coefficient for the Anderson model , 1997 .

[13]  A. Hewson,et al.  Transport coefficients of the Anderson model via the numerical renormalization group , 1993, cond-mat/9310032.

[14]  A. Hewson,et al.  The Kondo Problem to Heavy Fermions by Alexander Cyril Hewson , 1993 .

[15]  Cox,et al.  Self-consistent large-N expansion for normal-state properties of dilute magnetic alloys. , 1987, Physical review. B, Condensed matter.

[16]  K. Yosida,et al.  Orbital degeneracy effect on the dense Kondo state in real systems , 1985 .

[17]  J. Lasjaunias,et al.  Low‐temperature properties of CeAl3 , 1982 .

[18]  P. Anderson A poor man's derivation of scaling laws for the Kondo problem , 1970 .