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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 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 celebrated Wiedemann-Franz (WF) law which governs the relation between charge and heat transport traces back to the experimental discovery in 1853 by Wiedemann and Franz. Despite the fundamental difference of the quantum-statistical…

Mesoscale and Nanoscale Physics · Physics 2022-05-16 Kouki Nakata , Yuichi Ohnuma , Se Kwon Kim

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

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, 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 celebrated Wiedemann-Franz (WF) law is believed to be robust in metals as long as interactions between electrons preserve their fermion-quasiparticle character. We study thermal transport and the fate of the WF law close to a continuous…

Strongly Correlated Electrons · Physics 2017-10-11 P. Haldar , M. S. Laad , S. R. Hassan

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 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

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

We present the theory of thermoelectric transport in metals with long-lived quasiparticles, carefully addressing the interplay of electron-electron scattering as well as electron-impurity scattering, but neglecting electron-phonon…

Strongly Correlated Electrons · Physics 2018-06-27 Andrew Lucas , Sankar Das Sarma

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

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

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

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

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

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 Linear behavior of thermal transport has been widely explored, both theoretically and ex?perimentally. On the other hand, the nonlinear thermal response has not been fully discussed. In light of the thermal vector potential theory…

Statistical Mechanics · Physics 2022-08-17 Y. D. Wang , Z. G. Zhu , G. Su

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
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