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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

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

Wiedemann-Franz law is a prediction of electronic theory of electric and thermal conductivity in metals, which states that a Lorenz ratio $L=\kappa/(\sigma T)$, where $\kappa$ is a thermal conductivity, $\sigma$ --- electric conductivity…

Physics Education · Physics 2017-08-15 V. Glazkov , L. Ginzburg , A. Orlov

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

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 links the ratio of electronic charge and heat conductivity to fundamental constants. It has been tested in numerous solids, but the extent of its relevance to the anomalous transverse transport, which represents…

Strongly Correlated Electrons · Physics 2020-06-25 Liangcai Xu , Xiaokang Li , Xiufang Lu , Clément Collignon , Huixia Fu , Jahyun Koo , Benoît Fauqué , Binghai Yan , Zengwei Zhu , Kamran Behnia

We introduce and analyze two different scenarios for violation of the Wiedemann-Franz law in strongly correlated electron systems of solids, close to a topological quantum critical point (TQCP) where the density of states $N(0)$ diverges.…

Strongly Correlated Electrons · Physics 2016-03-23 V. A. Khodel , J. W. Clark , V. R. Shaginyan , M. V. Zverev

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

In Landau's celebrated Fermi liquid theory, electrons in a metal obey the Wiedemann--Franz law at the lowest temperatures. This law states that electron heat and charge transport are linked by a constant $L_0$, i.e., the Sommerfeld value of…

Strongly Correlated Electrons · Physics 2024-11-27 Nan Zhang , Daifeng Tu , Ding Li , Kaixin Tang , Linpeng Nie , Houpu Li , Hongyu Li , Tao Qi , Tao Wu , Jianhui Zhou , Ziji Xiang , Xianhui Chen

We show that in weakly disordered Luttinger liquids close to a commensurate filling the ratio of thermal conductivity kappa and electrical conductivity sigma can deviate strongly from the Wiedemann Franz (WF) law valid for Fermi liquids…

Strongly Correlated Electrons · Physics 2009-08-25 Arti Garg , David Rasch , Efrat Shimshoni , Achim Rosch

The violation of Wiedemann-Franz (WF) law has been widely discussed in quantum transport experiments as an indication of deviation from Fermi-liquid behavior. The conventional form of WF law is only concerned with the transmission function…

Mesoscale and Nanoscale Physics · Physics 2020-09-23 D. B. Karki

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…

The temperature dependence of the interlayer electrical and thermal resistivity in a layered metal are calculated for Fermi liquid quasiparticles which are scattered inelastically by two-dimensional antiferromagnetic spin fluctuations. Both…

Strongly Correlated Electrons · Physics 2009-01-28 M. F. Smith , Ross H. McKenzie

The Lorenz ratio serves as a measure to compare thermal and electric conductivities of metals. Recent experiments observed small Lorenz ratios in the compensated metal WP$_2$, indicating that charge flow is strongly favored over heat…

Strongly Correlated Electrons · Physics 2021-04-26 Woo-Ram Lee , Karen Michaeli , Georg Schwiete

The thermal Hall effect has emerged as a powerful probe of exotic excitations in correlated quantum materials, providing access to charge-neutral heat carriers that remain invisible to electrical transport. To directly examine how heat and…

We study the electrical and thermal transport properties and the violation of the Wiedemann-Franz (WF) law of two-carrier semimetals using exact treatments of the Boltzmann equation with the impurity and electron-electron scatterings in a…

Strongly Correlated Electrons · Physics 2025-10-09 Keigo Takahashi , Hiroyasu Matsuura , Hideaki Maebashi , Masao Ogata

We report measurements of the electrical and thermal transport on the hexagonal heavy-fermion metal YbAgGe for temperatures $T\geq$ 40 mK and in magnetic fields $H\parallel ab$ up to 14 T. This distorted Kagome-lattice system displays a…

Strongly Correlated Electrons · Physics 2013-04-25 J. K. Dong , Y. Tokiwa , S. L. Bud'ko , P. C. Canfield , P. Gegenwart

Strain tuning Sr$_{2}$RuO$_{4}$ through the Lifshitz point, where the Van Hove singularity of the electronic spectrum crosses the Fermi energy, is expected to cause a change in the temperature dependence of the electrical resistivity from…

Strongly Correlated Electrons · Physics 2022-03-23 Veronika C. Stangier , Erez Berg , Jörg Schmalian

Many metallic quantum materials display anomalous transport phenomena that defy a Fermi liquid description. Here, we use numerical methods to calculate thermal and charge transport in the doped Hubbard model and observe a cross-over…

Strongly Correlated Electrons · Physics 2023-12-04 Wen O. Wang , Jixun K. Ding , Yoni Schattner , Edwin W. Huang , Brian Moritz , Thomas P. Devereaux

We report measurements of in-plane electrical and thermal transport properties in the limit $T \rightarrow 0$ near the unconventional quantum critical point in the heavy-fermion metal $\beta$-YbAlB$_4$. The high Kondo temperature $T_K$…

Strongly Correlated Electrons · Physics 2015-07-29 M. L. Sutherland , E. C. T. O'Farrell , W. H. Toews , J. Dunn , K. Kuga , S. Nakatsuji , Y. Machida , K. Izawa , R. W. Hill
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