Mott's formula for the thermopower and the Wiedemann-Franz law

Jonson, M.; Mahan, G. D.

doi:10.1103/physrevb.21.4223

Cited by 518 publications

(381 citation statements)

References 8 publications

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“…At elevated temperatures, where the drag effect can be disregarded, Mott's formula holds approximately even in the presence of inelastic scattering. 59,60 …”

Section: Spin-conserving Bulk Impurity Scatteringmentioning

confidence: 99%

Thermoelectric effects in magnetic nanostructures

et al. 2009

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We model and evaluate the Peltier and Seebeck effects in magnetic multilayer nanostructures by a finiteelement theory of thermoelectric properties. We present analytical expressions for the thermopower and the current-induced temperature changes due to Peltier cooling/heating. The thermopower of a magnetic element is in general spin polarized, leading to spin-heat coupling effects. Thermoelectric effects in spin valves depend on the relative alignment of the magnetization directions and are sensitive to spin-flip scattering as well as inelastic collisions in the normal-metal spacer.

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“…At elevated temperatures, where the drag effect can be disregarded, Mott's formula holds approximately even in the presence of inelastic scattering. 59,60 …”

Section: Spin-conserving Bulk Impurity Scatteringmentioning

confidence: 99%

Thermoelectric effects in magnetic nanostructures

et al. 2009

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“…Note that our definitions of the L ij coefficients, while standard, have one less factor of T than seen in some other papers. The analytic continuation is straightforward, and produces the Mott form 21 for the transport coefficients (which is usually called the Jonson-Mahan theorem, 19 and was explicitly evaluated for the Falicov-Kimball model 22 ):…”

Section: Formalism For the Thermal Transportmentioning

confidence: 99%

Optimizing thermal transport in the Falicov-Kimball model: The binary-alloy picture

et al. 2003

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We analyze the thermal transport properties of the Falicov-Kimball model concentrating on locating regions of parameter space where the thermoelectric figure-of-merit ZT is large. We focus on high temperature for power generation applications and low temperature for cooling applications. We constrain the static particles (ions) to have a fixed concentration, and vary the conduction electron concentration as in the binary-alloy picture of the Falicov-Kimball model. We find a large region of parameter space with ZT > 1 at high temperature and we find a small region of parameter space with ZT > 1 at low temperature for correlated systems, but we believe inclusion of the lattice thermal conductivity will greatly reduce the low-temperature figure-of-merit.

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“…We first compared the dependence of S on V tg to that expected from the semiclassical Mott relation [27],…”

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confidence: 99%

Seebeck Coefficient of a Single van der Waals Junction in Twisted Bilayer Graphene

et al. 2017

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When two planar atomic membranes are placed within the van der Waals distance, the charge and heat transport across the interface are coupled by the rules of momentum conservation and structural commensurability, lead to outstanding thermoelectric properties. Here we show that an effective 'inter-layer phonon drag' determines the Seebeck coefficient (S) across the van der Waals gap formed in twisted bilayer graphene (tBLG). The cross-plane thermovoltage which is nonmonotonic in both temperature and density, is generated through scattering of electrons by the out-of-plane layer breathing (ZO /ZA2) phonon modes and differs dramatically from the expected LandauerButtiker formalism in conventional tunnel junctions. The Tunability of cross-plane seebeck effect in van der Waals junctions may be valuable in creating a new genre of versatile thermoelectric systems with layered solidsIn spite of subnanometer separation of the van der Waals gap (∼ 0.5 nm), the coupling of the two graphene layers in twisted bilayer graphene (tBLG) varies strongly with temperature (T ), and the twist or misorientation angle θ between the hexagonal lattices of participating graphene layers [1][2][3][4][5][6][7][8][9]. At T Θ BG , where Θ BG is the Bloch-Grüneisen temperature, the layers are coherently coupled either for θ 10• with a renormalized Fermi velocity [4,8], or at specific values of θ, such as θ = 30• ± 8.21• , when the hexagonal crystal structures become commensurate [1]. For θ > 10• (and away from the 'magic' angles), the layers are essentially decoupled at low T , but get effectively re-coupled at higher T (> Θ BG ), when the interlayer phonons drive cross-plane electrical transport through strong electron-phonon scattering [2,3]. These phonons are also expected to determine thermal and thermoelectric transport across the interface [10][11][12][13][14][15]. In fact, since the in-plane transverse and longitudinal phonons are effectively filtered out from contributing to cross-plane transport because they do not substantially alter the tunneling matrix elements, theoretical calculations predict enhanced cross-plane thermoelectric properties in van der Waals heterojunctions, including high ZT factors at room temperature [12]. However, although the impact of interlayer coherence and electron-phonon interaction on electrical conductance has been studied in detail [1,3], their relevance to the thermal and thermoelectric properties of tBLG remains unexplored.We assembled the tBLG devices with layer-by-layer mechanical transfer method, which is common in van der Waals epitaxy [16][17][18]. Three devices were constructed which show very similar behavior, and we present the results from one of the devices here. The device consists of two graphene layers oriented in a "cross" configuration (inset of Fig. 1a and an optical micrograph in Fig. 1b), and entirely encapsulated within two layers of hexagonal boron nitride (hBN). The carrier mobilities in the upper and lower layers are ≈ 25000 cm 2 V −1 s −1 and ≈ 60000 cm 2 V −1 s −1 , at room tem...

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Mott's formula for the thermopower and the Wiedemann-Franz law

Cited by 518 publications

References 8 publications

Thermoelectric effects in magnetic nanostructures

Thermoelectric effects in magnetic nanostructures

Optimizing thermal transport in the Falicov-Kimball model: The binary-alloy picture

Seebeck Coefficient of a Single van der Waals Junction in Twisted Bilayer Graphene

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