Role of phonon drag and carrier diffusion in thermoelectric power of polycrystalline La0.97Na0.03MnO3 manganites

Dinesh VARSHNEY; Dinesh CHOUDHARY

doi:10.1007/s40145-014-0113-1

Journal of Advanced Ceramics 2014, 3(3): 224-229 https://doi.org/10.1007/s40145-014-0113-1

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Open Access | Issue | Published: 02 September 2014

Role of phonon drag and carrier diffusion in thermoelectric power of polycrystalline La_0.97Na_0.03MnO₃ manganites

Show Author's Information Hide Author's Information Dinesh VARSHNEY(

), Dinesh CHOUDHARY

Materials Science Laboratory, School of Physics, Vigyan Bhawan, Devi Ahilya University, Khandwa Road Campus, Indore 452001, India

Keywords:

phonon drag, carrier diffusion, thermoelectric power

Cite this article:

VARSHNEY D, CHOUDHARY D. Role of phonon drag and carrier diffusion in thermoelectric power of polycrystalline La_0.97Na_0.03MnO₃ manganites. Journal of Advanced Ceramics, 2014, 3(3): 224-229. https://doi.org/10.1007/s40145-014-0113-1

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Abstract

We develop a theoretical model for quantitative analysis of temperature-dependent thermoelectric power of monovalent (Na) doped La_0.97Na_0.03MnO₃ manganites. In the ferromagnetic regime, we have evaluated the phonon thermoelectric power by incorporating the scattering of phonons with impurities, grain boundaries, charge carriers and phonons. In doing so, we use the Mott expression to compute the carrier (hole) diffusion thermoelectric power ( $S_{c}^{diff}$ ) using Fermi energy as carrier (hole)-free parameter, and $S_{c}^{diff}$ shows linear temperature dependence and phonon drag $S_{ph}^{drag}$ increases exponentially with temperature which is an artifact of various operating scattering mechanisms. It is also shown that for phonons the scattering and transport cross-sections are proportional to ω⁴ in the Rayleigh regime where ω is the frequency of the phonons. Numerical analysis of thermoelectric power from the present model shows similar results as those revealed from experiments.

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Role of phonon drag and carrier diffusion in thermoelectric power of polycrystalline La_0.97Na_0.03MnO₃ manganites

Show Author's information Hide Author's Information Dinesh VARSHNEY(

), Dinesh CHOUDHARY

Materials Science Laboratory, School of Physics, Vigyan Bhawan, Devi Ahilya University, Khandwa Road Campus, Indore 452001, India

Abstract

Keywords: phonon drag, carrier diffusion, thermoelectric power

References(25)

[1]

Salamon MB, Jaime M. The physics of manganites: Structure and transport. Rev Mod Phys 2001, 73:583-626.

DOI Google Scholar

[2]

De Gennes P-G. Effects of double exchange in magnetic crystals. Phys Rev 1960, 118:141-154.

DOI Google Scholar

[3]

Millis AJ, Littlewood PB, Shraiman BI. Double exchange alone does not explain the resistivity of La_1-xSr_xMnO₃. Phys Rev Lett 1995, 74:5144-5147.

DOI Google Scholar

[4]

Jaime M, Lin P, Salamon MB, et al. Low-temperature electrical transport and double exchange in La_0.67(Pb,Ca)_0.33MnO₃. Phys Rev B 1998, 58:R5901-R5904.

DOI Google Scholar

[5]

Shannon RD. Revised effective ionic radii and systematic studies of interatomic distances in halides and chalcogenides. Acta Cryst 1976, A32:751-767.

DOI Google Scholar

[6]

Malavasi L, Mozzati MC, Ghigna P, et al. Lattice disorder, electric properties, and magnetic behavior of La_1-xNa_xMnO_3+δ manganites. J Phys Chem B 2003, 107:2500-2505.

DOI Google Scholar

[7]

Mandal P. Temperature and doping dependence of the thermopower in LaMnO₃. Phys Rev B 2000, 61:14675-14680.

DOI Google Scholar

[8]

Jaime M, Salamon MB, Rubinstein M, et al. High-temperature thermopower in La_2/3Ca_1/3MnO₃ films: Evidence for polaronic transport. Phys Rev B 1996, 54:11914-11917.

DOI Google Scholar

[9]

Varshney D, Choudhary KK, Singh RK. Analysis of in-plane thermal conductivity anomalies in YBa₂Cu₃O_7−δ cuprate superconductors. New J Phys 2003, 5:72.1-72.17.

DOI Google Scholar

[10]

Varshney D, Kaurav N. Numerical analysis of heat transport behavior in the ferromagnetic metallic state of La_0.80Ca_0.20MnO₃ manganites. J Low Temp Phys 2007, 147:7-30.

DOI Google Scholar

[11]

Varshney D, Kaurav N. Analysis of low temperature specific heat in the ferromagnetic state of the Ca-doped manganites. Eur Phys J B 2004, 37:301-309.

DOI Google Scholar

[12]

Varshney D, Kaurav N. Low temperature specific heat analysis of LaMnO_3+δ manganites. Int J Mod Phys B 2006, 20:4785-4797.

DOI Google Scholar

[13]

Varshney D, Singh RK, Khaskalam AK. Analysis of specific heat in YBa₂Cu₃O_7-δ ceramic superconductors. Phys Status Solidi b 1998, 206:749-757.

DOI

[14]

Varshney D, Shah S, Singh RK. Specific heat studies in Ho–Ba–CuO superconductors: Fermionic and bosonic contributions. Bull Mater Sci 2000, 23:267-272.

DOI Google Scholar

[15]

Callaway J. Quantum Theory of the Solid State. London:Academic Press, 1991.

[16]

Barnard RD. Thermoelectricity in Metals and Alloys. London:Taylor and Francis Ltd., 1972.

[17]

Mott NF, Davis EA. Electronic Processes in Non-Crystalline Materials. Oxford:Clarendon, 1979.

[18]

Varshney D, Choudhary D, Shaikh MW. Interpretation of metallic and semiconducting temperature-dependent resistivity of La_1-xNa_xMnO₃ (x = 0.07, 0.13) manganites. Comput Mater Sci 2010, 47:839-847.

DOI Google Scholar

[19]

Varshney D, Choudhary D, Shaikh MW, et al. Electrical resistivity behaviour of sodium substituted manganites: Electron–phonon, electron–electron and electron–magnon interactions. Eur Phys J B 2010, 76:327-338.

DOI Google Scholar

[20]

Shaikh MW, Varshney D. Structural properties and electrical resistivity behaviour of La_1-xK_xMnO₃ (x = 0.1, 0.125 and 0.15) manganites. Mater Chem Phys 2012, 134:886-898.

DOI Google Scholar

[21]

Varshney D, Dodiya N. Electrical resistivity of the hole doped La_0.8Sr_0.2MnO₃ manganites: Role of electron–electron/phonon/magnon interactions. Mater Chem Phys 2011, 129:896-904.

DOI Google Scholar

[22]

Varshney D, Dodiya N. Interpretation of metallic and semiconducting temperature dependent resistivity of La_0.91Rb_0.06Mn_0.94O₃ manganites. Solid State Sci 2011, 13:1623-1632.

DOI Google Scholar

[23]

Das S, Dey TK. Structural and magnetocaloric properties of La_1−yNa_yMnO₃ compounds prepared by microwave processing. J Phys D: Appl Phys 2007, 40: 1855-1863.

DOI Google Scholar

[24]

Vergara J, Ortega-Hertogs RJ, Madurga V, et al. Effect of disorder produced by cationic vacancies at the B sites on the electronic properties of mixed valence manganites. Phys Rev B 1999, 60:1127-1135.

DOI Google Scholar

[25]

Dubi Y, Di Ventra M. Colloquium: Heat flow and thermoelectricity in atomic and molecular junctions. Rev Mod Phys 2011, 83:131.

DOI Google Scholar

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Publication history

Received: 04 April 2014

Revised: 09 June 2014

Accepted: 14 June 2014

Published: 02 September 2014

Issue date: September 2014

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Open Access: This article is distributed under the terms of the Creative Commons Attribution License which permits any use, distribution, and reproduction in any medium, provided the original author(s) and the source are credited.