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Reliable evaluation of the lattice thermal conductivity is of importance for optimizing the figure-of-merit of thermoelectric materials. Traditionally, when deriving the phonon mediated thermal conductivity $\kappa_{ph} = \kappa -…

Materials Science · Physics 2014-08-15 M. X. Chen , R. Podloucky

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

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

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

We study the electronic part of the thermal conductivity kappa of metals. We present two methods for calculating kappa, a quantum Monte-Carlo (QMC) method and a method where the phonons but not the electrons are treated semiclassically…

Materials Science · Physics 2015-06-25 K. Vafayi , M. Calandra , O. Gunnarsson

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

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

There are many exotic scenarios where the Lorenz number of the Wiedemann-Franz law is known to deviate from expected values. However, in conventional semiconductor systems, it is assumed to vary between the values of ~1.49x10^{-8} W…

Mesoscale and Nanoscale Physics · Physics 2017-04-04 Mischa Thesberg , Hans Kosina , Neophytos Neophytou

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

The lattice thermal conductivity ($\kappa_{\rm L}$) of PbTiO$_3$ (PTO) is estimated using a combination of {\em ab initio} calculations and semiclassical Boltzmann transport equation. The computed $\kappa_{\rm L}$ is remarkably low, nearly…

Materials Science · Physics 2016-03-23 Anindya Roy

Fabrication and characterization of instrument for high-temperature simultaneous measurement of Seebeck coefficient (S) and thermal conductivity ($\kappa$) has been carried out with python automation. The steady-state based Fourier's law of…

Materials Science · Physics 2022-04-20 Shamim Sk , Abhishek Pandey , Sudhir K. Pandey

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

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

Nanostructuring has been shown to be an effective approach to reduce the lattice thermal conductivity and improve the thermoelectric figure of merit. Because the experimentally measured thermal conductivity includes contributions from both…

Materials Science · Physics 2012-05-11 K. C. Lukas , W. S. Liu , G. Joshi , M. Zebarjadi , M. S. Dresselhaus , Z. F. Ren , G. Chen , C. P. Opeil

On the basis of the linear response transport theory, the general expressions for the thermoelectric transport coefficients, such as thermoelectric power (S), Nernst coefficient (\nu), and thermal conductivity (\kappa), are derived by using…

Strongly Correlated Electrons · Physics 2009-11-07 Hiroshi Kontani

The lattice thermal conductivity ($\kappa_{\ell}$) is a key materials property in power electronics, thermal barriers, and thermoelectric devices. Identifying a wide pool of compounds with low $\kappa_{\ell}$ is particularly important in…

Materials Science · Physics 2023-09-14 Rasmus Tranås , Ole Martin Løvvik , Kristian Berland

We investigate the microscopic mechanism of ultralow lattice thermal conductivity ($\kappa_l$) of TlInTe$_2$ and its weak temperature dependence using a unified theory of lattice heat transport that considers contributions arising from the…

Materials Science · Physics 2020-12-09 Koushik Pal , Yi Xia , Chris Wolverton

We study thermal transport in a one-dimensional (1d) interacting electron gas, employing the Luttinger liquid model. Both thermal conductance and thermopower are analyzed for a pure 1d gas and with impurities. The universal ratio of…

Condensed Matter · Physics 2009-10-28 C. L. Kane , Matthew P. A. Fisher

A first-principles informed approach to the calculation of Lorenz numbers for complex thermoelectric materials is presented and discussed. Example calculations illustrate the importance of using accurate band structures and energy-dependent…

Materials Science · Physics 2018-03-14 Xufeng Wang , Vahid Askarpour , Jesse Maassen , Mark Lundstrom

We calculate the lattice-driven in-plane $(\kappa_{\parallel})$ and out-of-plane $(\kappa_{\perp})$ thermal conductivities of Bi$_2$Se$_3$ bulk, and of films of different thicknesses, using the Boltzmann equation with phonon scattering…

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