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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 -…

材料科学 · 物理学 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…

材料科学 · 物理学 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…

物理教育 · 物理学 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…

材料科学 · 物理学 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…

材料科学 · 物理学 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…

强关联电子 · 物理学 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),…

材料科学 · 物理学 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…

介观与纳米尺度物理 · 物理学 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…

凝聚态物理 · 物理学 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…

材料科学 · 物理学 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…

材料科学 · 物理学 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…

应用物理 · 物理学 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…

强关联电子 · 物理学 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…

材料科学 · 物理学 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…

强关联电子 · 物理学 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…

材料科学 · 物理学 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…

材料科学 · 物理学 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…

凝聚态物理 · 物理学 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…

材料科学 · 物理学 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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