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We use the quasiclassical theory of superconductivity to calculate the electronic contribution to the thermal conductivity. The theory is formulated for low temperatures when heat transport is limited by electron scattering from random…

Condensed Matter · Physics 2009-10-28 M. J. Graf , S. -K. Yip , J. A. Sauls , D. Rainer

Electronic and phononic thermal conductivity are involved in the thermal conduction for metals and Wiedemann-Franz law is usually employed to predict them separately. However, Wiedemann-Franz law is shown to be invalid at intermediate…

Applied Physics · Physics 2020-11-18 Shouhang Li , Zhen Tong , Xinyu Zhang , Hua Bao

We consider in depth the applicability of the Wiedemann-Franz (WF) law, namely that the electronic thermal conductivity ($\kappa$) is proportional to the product of the absolute temperature ($T$) and the electrical conductivity ($\sigma$)…

Mesoscale and Nanoscale Physics · Physics 2019-02-06 Ali Lavasani , Daniel Bulmash , Sankar Das Sarma

The Wiedemann-Franz (WF) law, stating that the Lorenz ratio $L = \kappa/(T\sigma)$ between the thermal and electrical conductivities in a metal approaches a universal constant $L_0=\pi^2 k_B^2/ (3 e^2)$ at low temperatures, is often…

Strongly Correlated Electrons · Physics 2023-11-14 Evyatar Tulipman , Erez Berg

Transport coefficients serve as important probes in characterizing the QCD matter created in high-energy heavy-ion collisions. Thermal and electrical conductivities as transport coefficients have got special significance in studying the…

High Energy Physics - Phenomenology · Physics 2019-09-25 Pragati Sahoo , Raghunath Sahoo , Swatantra Kumar Tiwari

The Wiedemann-Franz (WF) law dictates a universal ratio between thermal and electrical conductivities, is widely obeyed by Fermi liquid systems. Here, we identify a fundamental yet often overlooked, thermodynamic mechanism for the violation…

Mesoscale and Nanoscale Physics · Physics 2026-03-13 YuanDong Wang , Zhen-Gang Zhu

The Wiedemann-Franz (WF) law, relating the electronic thermal conductivity ($\kappa_{\rm e}$) to the electrical conductivity, is vital in numerous applications such as in the design of thermoelectric materials and in the experimental…

Materials Science · Physics 2025-11-13 Luyao Zhong , Xin Jin , Mingquan He , Rui Wang , Xiaoyuan Zhou , Tianqi Deng , Xiaolong Yang

A violation of the Wiedemann-Franz law in a metal can be quantified by comparing the Lorentz ratio, $L=\kappa\rho/T$, where $\kappa$ is the thermal conductivity and $\rho$ is the electrical resistivity, with the universal Sommerfeld…

Strongly Correlated Electrons · Physics 2018-12-27 Songci Li , Dmitrii L. Maslov

We calculate the thermal conductivity of interacting electrons in disordered metals. In our analysis we point out that the interaction affects thermal transport through two distinct mechanims, associated with quantum interference…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Roberto Raimondi , Giorgio Savona , Peter Schwab , Thomas Lueck

We measure the thermal conductivity of solid and molten tungsten using Steady State Temperature Differential Radiometry. We demonstrate that the thermal conductivity can be well described by application of Wiedemann-Franz Law to electrical…

The Lorenz number (L) contained in the Wiedemann-Franz law represents the ratio of two kinetic parameters of electronic charge carriers: the electronic contribution to the thermal conductivity (K_el) and the electrical conductivity (sigma),…

Materials Science · Physics 2022-12-05 Yi Wang , Jorge Paz Soldan Palma , Shun-Li Shang , Long-Qing Chen , Zi-Kui Liu

We derive the electrical and thermal conductivities of the $d$-density-wave state in an external magnetic field $B$ in the low-temperature regime and in the presence of impurities. We show that in the zero-temperature limit, $T \to 0$, the…

Strongly Correlated Electrons · Physics 2009-11-07 S. G. Sharapov , V. P. Gusynin , H. Beck

Theoretical prediction of the thermal conductivity $\kappa$ of metal-like electron-ion systems would be greatly simplified if a convenient generalization of the Lorentz number $L_N$ for arbitrary temperatures ($T$) and densities were…

Materials Science · Physics 2024-05-01 M. W. C. Dharma-wardana

The Wiedemann-Franz (WF) law relates the electronic component of the thermal conductivity to the electrical conductivity in metals through the Lorenz number. The WF law has proven to be remarkably robust, however violations have been…

Materials Science · Physics 2023-04-13 Robert A. Robinson , Lujin Min , Seng Huat Lee , Peigang Li , Yu Wang , Jinguo Li , Zhiqiang Mao

Reduction of lattice thermal conductivity ($\kappa_L$) is one of the most effective ways of improving thermoelectric properties. However extraction of $\kappa_L$ from the total measured thermal conductivity can be misleading if Lorenz ($L$)…

Materials Science · Physics 2025-07-25 Ankit Kumar

The Wiedemann--Franz law, which determines the universality of the ratio of thermal conductivity to electrical conductivity, is studied in the hydrodynamic electron transport regime, where electron--electron scattering predominates over…

Mesoscale and Nanoscale Physics · Physics 2026-04-15 Yu. A. Pusep , M. A. T. Patricio , M. M. Glazov , V. A. Oliveira , M. D. Teodoro , A. D. Levin , A. K. Bakarov , G. M. Gusev

The Wiedemann-Franz (WF) law is a fundamental result in solid-state physics that relates the thermal and electrical conductivity of a metal. It is derived from the predominant origin of energy conversion in metals: the motion of quasi-free…

Mesoscale and Nanoscale Physics · Physics 2020-03-18 Galen T. Craven , Abraham Nitzan

In the 2016 experiment by Crossno et al. [Science 351, 1058 (2016)], electronic contribution to the thermal conductivity of graphene was found to violate the well-known Wiedemann-Franz (WF) law for metals. At liquid nitrogen temperatures,…

Mesoscale and Nanoscale Physics · Physics 2021-05-24 Adam Rycerz

We study the Wiedemann-Franz (WF) law in the d-density wave (DDW) model. Even though the opening of the DDW gap $(W_{0})$ profoundly modifies the electronic density of states and makes it dependent on energy, the value of the WF ratio at…

Superconductivity · Physics 2009-11-07 Wonkee Kim , J. P. Carbotte

The Wiedemann-Franz (WF) law establishes a link between heat and charge transport due to electrons in solids. The extent of its validity in presence of inelastic scattering is a question raised in different contexts. We report on a study of…

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