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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

A quantum critical point (QCP) arises at a continuous transition between competing phases at zero temperature. Collective excitations at magnetic QCPs give rise to metallic properties that strongly deviate from the expectations of Landau's…

Strongly Correlated Electrons · Physics 2013-07-04 H. Pfau , S. Hartmann , U. Stockert , P. Sun , S. Lausberg , M. Brando , S. Friedemann , C. Krellner , C. Geibel , S. Wirth , S. Kirchner , E. Abrahams , Q. Si , F. Steglich

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

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 study electric, thermal, and thermoelectric conductivities in the vicinity of a z=2 superconductor-diffusive metal transition in two dimensions, both in the high and low frequency limits. We find violation of the Wiedemann-Franz law and…

Strongly Correlated Electrons · Physics 2013-05-29 Daniel Podolsky , Ashvin Vishwanath , Joel Moore , Subir Sachdev

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 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

We study thermal transport in the disordered Fermi liquid at low temperatures. Gravitational potentials are used as sources for finding the heat density and its correlation function. For a comprehensive study, we extend the renormalization…

Mesoscale and Nanoscale Physics · Physics 2014-11-20 G. Schwiete , A. M. Finkel'stein

We study the electron thermal transport in granular metals at large tunnel conductance between the grains, $g_T \gg 1$ and not too low a temperature $T > g_T\delta$, where $\delta$ is the mean energy level spacing for a single grain. Taking…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 I. S. Beloborodov , A. V. Lopatin , F. W. J. Hekking , Rosario Fazio , V. M. Vinokur

In contrast to the first-order correlation-driven Mott metal-insulator transition (MIT), contin- uous disorder-driven transitions are intrinsically quantum critical. Here, we investigate transport quantum criticality in the Falicov-Kimball…

Strongly Correlated Electrons · Physics 2017-09-21 P. Haldar , M. S. Laad , S. R. Hassan

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 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

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

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

The thermal transport coefficients in a weakly magnetized quark-gluon plasma have been investigated within the ambit of a quasiparticle model to encode the effects of the realistic equation of state. The presence of a weak magnetic field…

Nuclear Theory · Physics 2020-07-27 Manu Kurian

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 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

Two recent electronic transport experiments from Columbia University and Harvard University have reported record high mobility and low channel densities in transition metal dichalcogenide (TMD) WSe$_2$ monolayers [J. Pack, et al.,…

Mesoscale and Nanoscale Physics · Physics 2024-06-28 Yi Huang , Sankar Das Sarma

One of the main goals of spintronics is to improve transport of information carriers and to achieve new functionalities with ultra-low dissipation. A most promising strategy for this holy grail is to use pure magnon currents created and…

Mesoscale and Nanoscale Physics · Physics 2015-11-04 Kouki Nakata , Pascal Simon , Daniel Loss
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