Theory of Quasi-Universal Ratio of Seebeck Coefficient to Specific Heat in Zero-Temperature Limit in Correlated Metals

Abstract

It is shown that the quasi-universal ratio $q={\lim }_{T\to 0}eS/C\sim \pm 1$ of the Seebeck coefficient to the specific heat in the limit of T=0 observed in a series of strongly correlated metals can be understood on the basis of the Fermi liquid theory description. In deriving this result, it is crucial that a relevant scattering arises from impurities, but not from the mutual scattering of quasiparticles. The systematics of the sign of $q$ is shown to reflect the sign of the logarithmic derivative of the density of states and the inverse mass tensor of the quasiparticles, explaining the systematics of experiments. In particular, the positive sign of $q$ for Ce-based and $f^3$-based heavy fermions, and the negative sign for Yb-based and $f^2$-based heavy fermions, are explained. The case of non-Fermi liquid near the quantum critical point (QCP) is briefly mentioned, showing that the ratio $q$ decreases considerably toward antiferromagnetic QCP while it remains essentially unchanged for the ferromagnetic QCP or QCP due to a local criticality.

arXiv comment12 pages, 1 figure

References in corpus (6)

• Ferromagnetic spin fluctuation induced superconductivity in Sr_2RuO_4
• Signatures of valence fluctuations in CeCu2Si2 under high pressure
• Huge Enhancement of Impurity Scattering due to Critical Valence Fluctuations in a Ce-Based Heavy Electron System
• General Formula for the Thermoelectric Transport Phenomena based on the Fermi Liquid Theory: Thermopower, Nernst Coefficient, and Thermal Conductivity
• Enhanced Impurity Scattering due to Quantum Critical Fluctuations
• Multiplet Effects in the Quasiparticle Band Structure of the $f^1-f^2$ Anderson Model

Cited by in corpus (43)

• Anomalous Transport Phenomena in Fermi Liquids with Strong Magnetic Fluctuations
• Energy scales of Lu(1-x)Yb(x)Rh2Si2 by means of thermopower investigations
• Temperature dependence of structural and electronic properties of the spin-liquid candidate kappa-(BEDT-TTF)2Cu2(CN)3
• Thermoelectric response near a quantum critical point: the case of CeCoIn5
• Thermopower across the pseudogap critical point of La(1.6-x)Nd(0.4)Sr(x)CuO(4): Evidence for a quantum critical point in a hole-doped high-Tc superconductor
• The thermopower as a signature of quantum criticality in heavy fermions
• Nernst Effect as a Probe of Local Kondo Scattering in Heavy Fermions
• Drastic change in transport of entropy with quadrupolar ordering in PrFe${}_4$P${}_{12}$
• Collapse of ferromagnetism and Fermi surface instability near reentrant superconductivity of URhGe
• Evidence for a quantum phase transition in electron-doped Pr${}_{2-x}$Ce${}_x$CuO${}_{4-\delta }$ from Thermopower measurements
• Magnetic Polarization and Fermi Surface Instability: Case of YbRh2Si2
• Thermoelectric transport across the metamagnetic transition of CeRu2Si2
• Thermopower across the phase diagram of the cuprate La${}_{1.6-x}$Nd${}_{0.4}$Sr${}_x$CuO${}_4$ : signatures of the pseudogap and charge-density-wave phases
• Heavy fermion and Kondo lattice behavior in the itinerant ferromagnet CeCrGe3
• Thermoelectric response near a quantum critical point of beta-YbAlB4 and YbRh2Si2: A comparative study
• Thermoelectric power quantum oscillations in the ferromagnet UGe${}_2$
• Lifshitz Transition and Metamagnetism: Thermoelectric Studies of CeRu${}_2$Si${}_2$
• Thermoelectric Power of the YbT${}_2$Zn${}_{20}$ (T = Fe, Ru, Os, Ir, Rh, and Co) Heavy Fermions
• Electrical and thermal transport in van der Waals magnets 2H-M${}_x$TaS${}_2$ (M = Mn, Co)
• Aspects of metallic low-temperature transport in Mott-insulator/ band-insulator superlattices: optical conductivity and thermoelectricity
• Metamagnetic Transition in UCoAl Probed by Thermoelectricity Measurements
• Spin-Fluctuation Drag Thermopower of Nearly Ferromagnetic Metals
• Valence effect on the thermopower of Eu systems
• The thermopower as a fingerprint of the Kondo breakdown quantum critical point
• Electronic Griffiths Phase in the Te - Doped Semiconductor FeSb${}_2$
• Thermal transport and mixed valence in ZrTe${}_3$ doped with Hf and Se
• Out-of-plane thermopower of strongly correlated layered systems: an application to Bi_2(Sr,La)_2CaCu_2O_{8+δ}
• Enhancement of thermal transport in the degenerate periodic Anderson model
• Enhanced Seebeck coefficient through the magnetic fluctuations in Sr${}_2$Ru${}_{1-x}{M}_x$O${}_4$ ($M=$ Co, Mn)
• Probing quantum criticality in ferromagnetic CeRh6Ge4
• Crossover between Fermi liquid and non-Fermi liquid behavior in the non-centrosymmetric compound Yb${}_2$Ni${}_{12}$P${}_7$
• Strongly correlated Fermi systems as a new state of matter
• Thermoelectricity and electronic correlations enhancement in FeS by slight Se substitution
• Scaling behavior of temperature-dependent thermopower in CeAu2Si2 under pressure
• Low-temperature thermopower study of YbRh2Si2
• Enhanced Superconductivity and Electron Correlations in Intercalated ZrTe${}_3$
• Vortexlike excitations in the heavy-fermion superconductor CeIrIn${}_5$
• Effect of pressure on the pseudogap and charge-density-wave phases of the cuprate La${}_{1.6-x}$Nd${}_{0.4}$Sr${}_x$CuO${}_4$ probed by thermopower measurements
• Magnetic Field Driven Electronic Singularities through Metamagnetic Phenomena: Case of the Heavy Fermion Antiferromagnet Ce(Ru0.92Rh0.08)2Si2
• Giant thermoelectric power factor anisotropy in PtSb${}_{1.4}$Sn${}_{0.6}$
• Scaling behavior of the thermopower of the archetypical heavy-fermion metal $\mathrm{YbR}{\mathrm{h}}_2\mathrm{S}{\mathrm{i}}_2$
• Quantum-critical transport in marginal Fermi liquids
• Basic Properties of Conductivity and Normal Hall Effect in the Periodic Anderson Model