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Interactions between particles in quantum many-body systems can lead to collective behavior described by hydrodynamics. One such system is the electron-hole plasma in graphene near the charge neutrality point which can form a strongly…

The Wiedemann-Franz law, connecting the electronic thermal conductivity to the electrical conductivity of a disordered metal, is generally found to be well satisfied even when electron-electron (e-e) interactions are strong. In ultra-clean…

Mesoscale and Nanoscale Physics · Physics 2015-09-29 A. Principi , G. Vignale

We analyze a well-known experimental work [J. Crossno et al., Science 351, 1058 (2016)] which reported on the failure of the Wiedemann-Franz law in graphene at $T\sim 10$-$100\,\mathrm{K}$, attributing this failure to the non-Fermi liquid…

Mesoscale and Nanoscale Physics · Physics 2023-02-06 Yi-Ting Tu , Sankar Das Sarma

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 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

The ability to transport energy is a fundamental property of the two-dimensional Dirac fermions in graphene. Electronic thermal transport in this system is relatively unexplored and is expected to show unique fundamental properties and to…

Mesoscale and Nanoscale Physics · Physics 2013-08-13 K. C. Fong , Emma Wollman , Harish Ravi , Wei Chen , Aash Clerk , M. D. Shaw , H. G. LeDuc , K. C. Schwab

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

By way of the non-equilibrium Green's function simulations and analytical expressions, the quantum thermal conductance of stanene is studied. We find that, due to the existence of Dirac fermion in stanene, the ratio of electron thermal…

Materials Science · Physics 2016-07-19 Hangbo Zhou , Yongqing Cai , Gang Zhang , Yong-Wei Zhang

Discovery of electron hydrodynamics in graphene system has opened a new scope of analytic calculations in condensed matter physics, which was traditionally well cultivated in science and engineering as a non-relativistic hydrodynamics and…

Strongly Correlated Electrons · Physics 2026-01-14 Thandar Zaw Win , Cho Win Aung , Gaurav Khandal , Sabyasachi Ghosh

Graphene, as a semimetal with the largest known thermal conductivity, is an ideal system to study the interplay between electronic and lattice contributions to thermal transport. While the total electrical and thermal conductivity have been…

Materials Science · Physics 2016-07-12 Tae Yun Kim , Cheol-Hwan Park , Nicola Marzari

We extract experimentally the electronic thermal conductivity, $K_{e}$, in suspended graphene which we dope using a back-gate electrode. We make use of two-point dc electron transport at low bias voltages and intermediate temperatures (50 -…

Mesoscale and Nanoscale Physics · Physics 2014-01-15 S. Yigen , A. R. Champagne

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

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 (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

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

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…

We present a simple theory of thermoelectric transport in bilayer graphene and report our results for the electrical resistivity, the thermal resistivity, the Seebeck coefficient, and the Wiedemann-Franz ratio as functions of doping density…

Mesoscale and Nanoscale Physics · Physics 2019-05-01 Mohammad Zarenia , Giovanni Vignale , Thomas Benjamin Smith , Alessandro Principi

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 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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