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We develop a general theory of Fermi liquids to discuss the Kadowaki-Woods relation $A\propto \gamma^2$. We derive a formula for the ratio $A/\gamma^2$ which is expressed as a product of two dimensionless parameters $\alpha$ and $F$, where…

Condensed Matter · Physics 2009-10-31 Takuya Okabe

We present a theoretical study of the Kadowaki-Woods relation in the orbitally degenerate periodic Anderson model. Based on Fermi liquid theory, we derive the generalized Kadowaki-Woods relation in the strong coupling limit, $A\gamma^{-2}…

Strongly Correlated Electrons · Physics 2009-11-10 Hiroshi Kontani

We calculate the Kadowaki-Woods ratio (KWR) in Fermi liquids with arbitrary band structures. We find that, contrary to the single band case, the ratio is not generally independent of the effects of electronic correlations (universal). This…

Strongly Correlated Electrons · Physics 2016-06-15 D. C. Cavanagh , A. C. Jacko , B. J. Powell

We discuss the relation between the T^{2}-coefficient of electrical resistivity $A$ and the T-linear specific-heat coefficient $\gamma$ for heavy-fermion systems with general $N$, where $N$ is the degeneracy of quasi-particles. A set of…

Strongly Correlated Electrons · Physics 2009-11-11 N. Tsujii , H. Kontani , K. Yoshimura

We calculate analytically the low temperature quasi-particle scattering rate, the conductivity, and the specific heat in weakly disordered metals close to a quantum critical point, via the use of a proper fluctuation potential $V(q,\omega)$…

Strongly Correlated Electrons · Physics 2016-02-01 George Kastrinakis

An explicit expression for the Kadowaki-Woods ratio in correlated metals is derived by invoking saturation of the (high-frequency) Fermi-liquid scattering rate at the Mott-Ioffe-Regel limit. Significant deviations observed in a number of…

Strongly Correlated Electrons · Physics 2009-11-10 N. E. Hussey

We calculate the low temperature one-particle scattering rate and the specific heat in a weakly disordered metal close to a quantum critical point. To lowest order in the fluctuation potential, we obtain typical Fermi-liquid results…

Strongly Correlated Electrons · Physics 2016-02-01 George Kastrinakis

Discoveries of ratios whose values are constant within broad classes of materials have led to many deep physical insights. The Kadowaki-Woods ratio (KWR) compares the temperature dependence of a metal's resistivity to that of its heat…

Strongly Correlated Electrons · Physics 2009-10-16 A. C. Jacko , J. O. Fjaerestad , B. J. Powell

The newly discovered CaFe$_4$As$_3$ system displays low-temperature Fermi liquid behavior, with enhanced electron-electron correlations. At high temperatures, the magnetic susceptibility shows Curie-Weiss behavior, with a large…

Strongly Correlated Electrons · Physics 2009-04-28 Liang L. Zhao , Tanghong Yi , James C. Fettinger , Susan M. Kauzlarich , E. Morosan

We show that a strongly correlated Fermi system with the fermion condensate, which exhibits strong deviations from Landau Fermi liquid behavior, is driven into the Landau Fermi liquid by applying a small magnetic field $B$ at temperature…

Strongly Correlated Electrons · Physics 2009-11-07 Yu. G. Pogorelov , V. R. Shaginyan

Fermi surfaces of several quasicrystalline approximants are calculated by means of ab-initio methods which enable direct comparison with dHvA experiments. A criterion for anomalous metallic transport is proposed and power-law temperature…

Materials Science · Physics 2009-10-31 S. Roche , T. Fujiwara

The in-plane resistivity, rho, and thermal conductivity, kappa, of a single crystal of Na_0.7CoO_2 were measured down to 40 mK. Verification of the Wiedemann-Franz law, kappa/T = L_0/rho as T -> 0, and observation of a T^2 dependence of rho…

Strongly Correlated Electrons · Physics 2009-11-10 S. Y. Li , Louis Taillefer , D. G. Hawthorn , M. A. Tanatar , Johnpierre Paglione , M. Sutherland , R. W. Hill , C. H. Wang , X. H. Chen

We describe an analytical theory investigating the regime of validity of the Fermi liquid theory in interacting, via the long-range Coulomb coupling, two-dimensional Fermi systems comparing it with with the corresponding 3D systems. We find…

Strongly Correlated Electrons · Physics 2021-12-13 Sankar Das Sarma , Yunxiang Liao

A general discussion of the ratio of thermal and electrical conductivities in non-Fermi liquid metals is given. In metals with sharp Drude peaks, the relevant physics is correctly organized around the slow relaxation of almost-conserved…

Strongly Correlated Electrons · Physics 2013-12-06 Raghu Mahajan , Maissam Barkeshli , Sean A. Hartnoll

Properties of strongly correlated two-dimensional (2D) electron systems in solids are studied on the assumption that these systems undergo a phase transition, called fermion condensation, whose characteristic feature is flattening of the…

Strongly Correlated Electrons · Physics 2009-11-07 V. A. Khodel , M. V. Zverev

A phenomenological theory is presented for two-dimensional quantum liquids in terms of the Fermi surface geometry. It is shown that there is a one-to-one correspondence between the properties of an interacting electron system and its…

Strongly Correlated Electrons · Physics 2015-06-25 Miklos Gulacsi

Proceeding from the simplest field theoretical model of 2D metal, the normal phase Green functions of the weakly interacting fermions and the order parameter fluctuations (responsible for the attraction between fermions) are obtained. It is…

Condensed Matter · Physics 2007-05-23 V. P. Gusynin , V. M. Loktev , I. A. Shovkovy

To understand the multistage phase transitions in V-based kagome metals inside the charge-density-wave (CDW) phase, we focus on the impact of the "mix-type" Fermi surface because it is intact in the CDW state on the "pure-type" Fermi…

Strongly Correlated Electrons · Physics 2025-03-26 Jianxin Huang , Rina Tazai , Youichi Yamakawa , Seiichiro Onari , Hiroshi Kontani

Ac and dc magnetotransport data in the normal state of YBa2Cu3O7 are analyzed within Fermi-liquid and non-Fermi-liquid models. In the Fermi-liquid analysis we use the Fermi surface deduced from band structure calculations and angular…

Superconductivity · Physics 2009-02-25 Anatoley T. Zheleznyak , Victor M. Yakovenko , H. D. Drew , I. I. Mazin

The hydrodynamic regime of electron transport has been recently realized in conductors with ultra-low densities of defects. Although relaxation processes in two-dimensional (2D) fluids have been studied in many theoretical works, the…

Mesoscale and Nanoscale Physics · Physics 2021-01-04 P. S. Alekseev , A. P. Dmitriev
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