Document Type : Research

Authors

1 Department of physic, in Tehran shargh Payamnoor University

2 Professor, Department of Theoretical and Nano Physics, Alzahra University, Tehran, Iran.

3 Department of Physics, Yasuj Branch, Islamic Azad University, Yasuj, Iran

Abstract

In this paper, the electrical transport properties of a quasi-one dimensional heterostructure based on the GaAs (such as quantum wire) are studied in the presence of the electron-phonon interaction, theoretically. In this regards, a homogeneous quasi-one dimensional quantum wire with a given length is considered which is coupled between two semi-infinite metal leads. Using the Hamiltonian of the system the framework of the tight binding method within the effective mass approximation, the electron transmission coefficient are studied as a function of the electron energy and also the applied filed frequency. Different values of the length as well as Al concentrations of the central region are considered. In order to investigate the electron-phonon effects, we consider a time and space dependent external field which is applied on each atoms in a linear chain within the harmonic approximation. The numerical results of this paper can have shed light on the electron-phonon impacts on the electron transport of the nanowire.

Keywords

[1] Barford W., Electronic and Optical Properties Of Conjugated Polymers, Oxford University Press, 2005.
[2] M. Mardaani, H. Rabani, “Coherent electronic conductance of a nanowire in the presence of electron–phonon interaction”, Phys. Status Solidi b 251, 1001 (2014).
[3] H. Park, J. Park, A. K. L. Lim, E. H. Anderson, A. P. Alivisatos and P. L. McEuen, “Nano-mechanical Oscillations in a Single-C60 Transistor”, Nature (London) 407, 57 (2000).
[4] C. Sauer, M. Wießner, A. Schöll and F. Reinert, “Interface originated modification of electron-vibration coupling in resonant photoelectron spectroscopy”, Phys. Rev. B 89, 075413 (2014).
[5] J. Sukegawa, Ch. Schubert, X. Zhu, H. Tsuji, D. M. Guldi and E. Nakamura, “Electron transfer through rigid organic molecular wires enhanced by electronic and electron–vibration coupling”, Nature Chemistry 6, 899 (2014).
[6] A. Benyamini, A. Hamo, S. Viola Kusminskiy, F. von Oppen and S. Ilani, “Real-space tailoring of the electron-phonon coupling in ultraclean nanotube mechanical resonators”, Nature Physics 10, 151 (2014).
[7] S. Kim and N. Marzari, “First-principles quantum transport with electron-vibration interactions: A maximally localized Wannier functions approach”, Phys. Rev. B 87, 245407 (2013).
[8] S. Ulstrup, T. Frederiksen and M. Brandbyg, “Nonequilibrium electron-vibration coupling and conductance fluctuations in a C60-junction”, Phys. Rev. B 86, 245417 (2012).
[9] Superconductivity and thermodynamic properties of MPb7 (M= Al, Mg) compounds: A first principles study, Solid State Communications Fatemeh Shirvani, Aliasghar Shokri 371 (2023) 11528
[10] S. Datta, Electronic Transport in Mesoscopic Systems (Cambridge University Press, Cambridge, 1995); Quantom Transport: Atom to Transistor (Cambridge University Press, Cambridge, 2005).
[11] W. Zhang, C. Delerue, Y. M. Niquet, G. Allan, and E. Wang, “Atomistic modeling of electron-phonon coupling and transport properties in n-type silicon nanowires”, Phys. Rev. B 82, 115319 (2010).
[12] EPW: Electron-phonon coupling, transport and superconducting properties using maximally localized Wannier functions S Poncé, ER Margine, C Verdi, F Giustino - Computer Physics…, 2016 – Elsevier
[13] Electron-Phonon Coupling and Superconductivity in C2 Compound upon Compression S. Dilmi, S. Saib & N. Bouarissa Journal of Superconductivity and Novel agnetism volume 34, pages 1311–1320 (2021) 
[14] Electron-phonon interactions in LuH2, LuH3, and LuN T Lu, S Meng, M Liu- arXiv preprint arXiv:2304.06726, )2023( - arxiv.org
[15] Energy storage applicability of novel two-dimensional transition metal nitride alloys: First principle stud Fatemeh Shirvani, Maryam Masoudi https://doi.org/10.1016/j.ssc.2022.115002 
[16] M. Zebarjadi, A. Shakouri and K. Esfarjani, “Thermoelectric transport perpendicular to thin-film heterostructures calculated using the Monte Carlo technique”, Phys. Rev. B 74, 195331 (2006).
[17] L.F. Torres, H.M. Pastawski and S.S. Makler, “Tuning a resonance in Fock space: Optimization of phonon emission in a resonant-tunneling device”, Phys. Rev. B 64, 193304 (2001).
[18] H. M. Pastawski, E. Medina, “Tight Binding methods in quantum transport through molecules and small devices: from the coherent to the decoherent description”, Rev. Mex. Fis. 47S1, 1 (2001).
[19] Qiu X.H., Nazin G.V., Ho W., Vibronic States in Single Molecule Electron Transport, Physical Review Letters, 92, 206102, 2004. https://doi.org/10.1103/PhysRevLett.92.206102
[20] Coropceanu V., Cornil J., da Silva D.A., Olivier Y., Silbey R., Bredas J.L., Charge transport in organic semiconductors, Chemical Reviews, 107,926-952, 2007. https://doi.org/10.1021/cr050140x
[21] Datta S., Electonic Transport in Mesoscopic System, Cambridge University Press, 1997.
[22] R. Landauer, Spatial variation of currents and fields due to localized scatterers in metallic conduction, IBM Journal of Research and Development, 32, 306-316, 1988, DOI: 10.1147/rd.323.0306; Jefferson J.H., Ramšak A., Rejec T., Entanglement and transport anomalies in nanowires, Journal of Physics: Condensed Matter, 20 164206, 2008. https://doi.org/10.48550/arXiv.0804.0141
[23] Mardaani M., Rabani H., Esmaili E., Shariati A., The effect of driven electron-phonon coupling on the electronic conductance of a polar nanowire, Journal of Applied Physics, 118, 054306, 2015. DOI: 10.1063/1.4928084

[24] Mardaani M., Rabani H., Keshavarz M., Phonon transport properties of a mass–spring simple cubic nanocrystal within the harmonic approximation, Physica E: Low-dimensional Systems and Nanostructures, 44, 1342-1345, 2012. https://doi.org/10.1016/j.physe.2012.02.015

[25] Shokri A.A., Mardaani M., The role of nano-cantacts in electrical transport through a molecule wire, Chemical Physics, 330, 287-294, 2006. https://doi.org/10.1016/j.chemphys.2006.08.023

[26] Mardaani M., Esfarjani K., Some analytical results in phase coherent transport in quantum wire, Physica E: Low-dimensional Systems and Nanostructures, 25, 119-130, 2004. https://doi.org/10.1016/j.physe.2004.06.057. 119

[27] Shokri A.A., Saffarzadeh A., Temperature and voltage dependence of magnetic barrier junctions with a nonmagnetic spacer, The European Physical Journal B – Condensed Matter and Complex Systems, 42, 187-191, 2004. https://doi. org/10.1140/epjb/e2004-00371-x 

[28] Mardaani M., Rabani H., Phonon scattering in harmonic model for a typical quantum wire, Solid State Communications, 151, 311-314, 2011. https://doi.org/10.1016/j.ssc.2010.11.040

[29] Shokri A.A., Jamshidi R., Merging of defect modes in a superlattice of one-dimensional metamaterials photonic crystals, AIP Advances, 9,055318,2019.https://doi.org/10.1063/1.5089413

[30] Khalaj A., Shokri A., Salami N., Effects of electron-phonon interactions on electrical transport properties of GaAs/GaAlAs semiconductor heterostructure, Physica B: Condensed Matter, In Press (2023) 415146. https://doi.org/10.1016/j.physb.2023.415146

[31] Grosso G., Pastori Parravicini G., Solid State Physics, Academic Press; 2nd edition, 2013.