Thermal conductivity and electrical resistivity of cadmium arsenide (Cd3As2) in the temperature range 4.2?40 K

Bartkowski, K.; Rafałowicz, J.; Żdanowicz, W.

doi:10.1007/bf00503834

Cited by 6 publications

(5 citation statements)

References 4 publications

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“…We make the choice of phonon mean free path Λ in the boundary scattering regime as the smallest dimension of the sample. It is generally few mm in bulk samples [28,40] and taken as Λ = 0.1 cm in the present calculations. The use of a temperature-independent screening function in the present work is reasonable in the temperature range of interest considered.…”

Section: Resultsmentioning

confidence: 99%

“…Interestingly, we also note that S g due to larger n e crosses that due to lower n e at about T > 1-2 K. In GaAs HJs and Si-MOSFETs, this crossing occurs for about T > 5 K [28]. Unscreened S g (not shown in the figure) gives a large value of ~ 8 mV/K at 10 K. In bulk Cd 3 As 2 semiconductors, in experimental observations of lattice thermal conductivity, the phonon-phonon interaction limiting the phonon mean free path, which depends upon the Gruneisen parameter of the material, is shown to be significant in the region for about T > 6 K, showing Λ ~ T −1 [40]. This T dependence of Λ is expected to give S g ~ T −1 in the highertemperature region.…”

Section: Resultsmentioning

confidence: 99%

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Phonon-drag thermopower in 3D Dirac semimetals

Kubakaddi¹

2015

J. Phys.: Condens. Matter

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A theory of low-temperature phonon-drag thermopower S(g) in three-dimensional (3D) Dirac semimetals has been developed considering screened electron-phonon deformation potential coupling. Numerical investigations of S(g), in the boundary scattering regime for phonons, are made in 3D Dirac semimetal Cd3As2, as a function of temperature T and electron concentration n e. S(g) is found to increase rapidly for about T < 1 K and nearly levels off for higher T. It is also seen that S(g) increases (decreases) with decreasing n e at lower (higher) T (<2 K). A screening effect is found to be very significant, strongly affecting T and n e dependence for about <1 K and becoming negligible at higher temperature. In the Bloch-Gruneisen (BG) regime the power laws S(g) ~ T(8) (T(4)) and S(g) ~ n(e)(-5/3)(n(e)(-1/3) with (without) screening are obtained. These laws with respect to T and n e are, respectively, characteristics of 3D phonons and Dirac 3D electrons. Comparison with diffusion thermopower S(d) shows that S (g) dominates (and is much greater than) S(d) for about T > 0.2 K. Herring's law S(g) μ p ~ T (-1), relating phonon limited mobility μ p and S(g) in the BG regime, is shown to be valid in 3D Dirac semimetals. The results obtained here are compared with those in 3D semiconductors, low-dimensional semiconductor heterojunctions and graphene. We conclude that n e-dependent measurements, rather than T-dependent ones, provide a clearer signature of the 3D Dirac semimetal phase.

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Section: Resultsmentioning

confidence: 99%

Section: Resultsmentioning

confidence: 99%

Phonon-drag thermopower in 3D Dirac semimetals

Kubakaddi¹

2015

J. Phys.: Condens. Matter

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“…For example, the Sommerfeld value of the Lorenz number may change significantly when a magnetic field is applied [19] or the Fermi level crosses the Dirac point; [20] the two situations that do not apply to the current work and Cd 3 As 2 . In spite of a moderate sample dependence of the κ(T ) profiles reported in the literature, [7,8,21] they are qualitatively similar with two marked features: a nearly temperature-independent, small value of κ(T ) at T > 100 K and a marked κ(T ) maximum at T ≈ 10 K. The lattice thermal conductivity (κ L ≈ κ − κ e ) at T > 100 K falls into the range of the uncertainties (±0.6 W/mK at room temperature) in our measurements, whereas the average κ L reported in Ref. [8] is only 0.7 W/mK in the wide temperature range of 100−300 K. The small value of κ L (T ) and its weak temperature dependence at T > 100 K indicate that the phonon mean free path is probably reduced to about its lower limit in this temperature range, in the framework of the simple kinetic approach, κ L = 1 3 C L ῡl.…”

Section: Resultsmentioning

confidence: 91%

Unusual thermodynamics of low-energy phonons in the Dirac semimetal Cd₃As₂

Wang¹,

Zhao²,

Lyu³

et al. 2022

Chinese Phys. B

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By studying the thermal conductivity, specific heat, elastic modulus, and thermal expansion as a function of temperature for Cd3As2, we have unveiled a couple of important thermodynamic features of the low-energy phonons strongly interacting with Dirac electrons. The existence of soft optical phonons, as inferred from the extremely low thermal conductivity, is unambiguously confirmed by low-temperature specific heat revealing significant deviation from Debye’s description. The estimated Debye temperature is small in the range of 100 - 200 K and varies significantly depending upon the measurement used in its experimental determination. The thermodynamic Grüneisen ratio γ reveals a remarkable reduction below about 100 K, an energy scale that is highly relevant to the Dirac states, towards negative values below about 10 K that are indicative of lattice instability.

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“…Then experimental observations of κ are explained with We believe that in figures 6(c) and (d), the low T data (below 50 K), but not very low T, is governed by the κ ph ~ T −1 behaviour which is due to the phonon scattering by phonons, impurity, and defects. In 3D Cd 3 As 2 semiconductor, it has been shown that lattice thermal conductivity, with a peak at 8 K, is decreasing with increasing temper ature nearly as T −1 [47,48]. In order to make a quantitative comparison with the experimental data for T < 50 K, one needs to obtain κ ph-b , κ ph-i , Pariari et al [27] have made the temperature-dependent measurements of Seebeck coefficient S d in the range ~2-350 K in zero and quantizing magnetic field.…”

Section: Comparison With Experimentsmentioning

confidence: 99%

Thermoelectric transport properties in 3D Dirac semimetal Cd₃As₂

Amarnath¹,

Bhargavi²,

Kubakaddi

2020

J. Phys.: Condens. Matter

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Thermoelectric transport properties, namely, electrical conductivity, electronic thermal conductivity, and diffusion thermopower are theoretically investigated in 3D Dirac semimetal Cd 3 As 2 . We employ Boltzmann transport formalism and consider the electron scattering by charged impurities, short-range disorder, acoustic phonons, and optical phonons. The Boltzmann transport equation is solved using the Ritz iteration technique to obtain the firstorder perturbation distribution function for the interaction of electrons with inelastic polar optical phonons scattering. The numerical results are presented in the temperature range 2-300 K with the electron concentration in the range (0.1-10) × 10 18 cm −3 . It is found that, at low temperature < ~70 K transport coefficients are dominated by charged impurity scattering and at higher temperature the phonon scattering is found to be dominant. The validity of Wiedemann-Franz law is examined. Recently observed experimental results are explained by our theory.

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Thermal conductivity and electrical resistivity of cadmium arsenide (Cd3As2) in the temperature range 4.2?40 K

Cited by 6 publications

References 4 publications

Phonon-drag thermopower in 3D Dirac semimetals

Phonon-drag thermopower in 3D Dirac semimetals

Unusual thermodynamics of low-energy phonons in the Dirac semimetal Cd₃As₂

Thermoelectric transport properties in 3D Dirac semimetal Cd₃As₂

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Thermal conductivity and electrical resistivity of cadmium arsenide (Cd3As2) in the temperature range 4.2?40 K

Cited by 6 publications

References 4 publications

Phonon-drag thermopower in 3D Dirac semimetals

Phonon-drag thermopower in 3D Dirac semimetals

Unusual thermodynamics of low-energy phonons in the Dirac semimetal Cd3As2

Thermoelectric transport properties in 3D Dirac semimetal Cd3As2

Contact Info

Product

Resources

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Unusual thermodynamics of low-energy phonons in the Dirac semimetal Cd₃As₂

Thermoelectric transport properties in 3D Dirac semimetal Cd₃As₂