Static Pair Correlation Functions and Static Structure Factors of Unidirectional Quantum Systems

G. Dhingra¹

Section:Research Paper, Product Type: Isroset-Journal
Vol.7 , Issue.3 , pp.1-5, Jun-2019

CrossRef-DOI:   https://doi.org/10.26438/ijsrpas/v7i3.15

Online published on Jun 30, 2019

Copyright © G. Dhingra . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

View this paper at   Google Scholar | DPI Digital Library

XML View     PDF Download

How to Cite this Paper

461 Views    428 Downloads    110 Downloads

Abstract :
Two of the structural functions, static pair correlation function of electrons around positively charged particles and static structure factor, have been theoretically calculated for a one dimensional quantum system with two mobile components occupying same charge density at equal temperatures. The structural functions have been investigated for their density and mass dependence. The reported values of static pair correlation function and structure factors are found to be dependent upon linear density and mass of positive components. Static pair correlation functions for a wide range of temperature, 100K≤T≤ 1500K, has also been generated theoretically. A variation, though diminutive, with temperature has been observed.

Key-Words / Index Term :
Static pair correlation function, Static structure factor, Complex dielectric functions, Plasma frequency , Fabrication techniques

References :
[1] S. A. Hartstein, R.A.Webb, A.B. Fowler and J.J. Wainer, “One-dimensional conductance in silicon mosfet`s”, Surf Sci, Vol. 142, pp. 1-13, 1984.
[2] W. Hansen, M. Horst, J.P. Kotthaus, U. Merkt, Ch. Sikorski and K. Ploog, “Intersubband resonance in quasi one-dimensional inversion channels”, Phys. Rev Lett, Vol.58(24), pp. 2586-2589, 1987.
[3] J.H.F Scott-Thomas, S.B. Field, M.A. Kastner, H.I. Smith and D.A. Antoniaddis, “Conductance Oscillations Periodic in the Density of a One-Dimensional Electron Gas” Phys Rev Lett, Vol. 62(5), pp. 583-586, 1989.
[4] Pepper M. and Uren M.J.,” The Wigner glass and conductance oscillations in silicon inversion layers,J Phys C, Vol.15(20), pp L617-L626,1982.
[5] T. Demel, D. Heitmann, P. Grambow and K. Ploog, “One‐dimensional electronic systems in ultrafine mesa‐etched single and multiple quantum well wires”, Appl phys Lett, Vol. 53(22), pp. 2176-2178, 1988.
[6] A.B. Fowler, A. Hartstein and R.A. Webb, “Conductance in Restricted-Dimensionality Accumulation Layers”, Phys Rev Lett, Vol. 48(3), pp. 196-198, 1982.
[7] S. Das Sharma and Wu-yan Lai, “Screening and elementary excitations in narrow-channel semiconductor microstructures”, Phys Rev B, Vol. 32(2), pp.1401-1404, 1985.
[8] P.J Simmonds., S.N. Holmes, H.E. Beere, L. Farrer, F. Sfigapis, D.A. Ritchie and M. Pepper, “Molecular beam epitaxy ofhighmobility In0.75Ga0.25AsIn0.75Ga0.25As for electron spin transport applications”, Journal of vacuum science & technology ,Vol. 27(4), pp. 2066-2078, 2009.
[9] W.J. Skocpol, L.D. Jackel, E.L. Hu, R.E Howard and L.A. Fetter, “One-Dimensional Localization and Interaction Effects in Narrow (0.1-μm) Silicon Inversion Layers, Phys Rev Lett, Vol.49(13), pp. 951-956,1982.
[10] M. Illing, G. Bacher, T. Kummel and A. Forchel, D. Hommel, B. Jobst and G. Landwehr, “Fabrication of CdZnSe/ZnSe quantum dots and quantum wires by electron beam lithography and wet chemical etching”, Journal of vacuum science & technology B, Vol.13(6), pp. 2792-2796, 1995.
[11] A. Sjolander and M.J. Stott, “Electron distribution around positrons in metal”s, Solid State Commun, Vol. 8(22), pp. 1881-1884,1970.
[12] A. Sjolander and M.J. Stott., “Electron Distribution around Mobile and Fixed Point Charges in Metals”, Phys Rev B, Vol. 5(6), pp. 2109-2117,1972.
[13] S.P. Tewari, J. Sood & G. Dhingra, “Temperature dependent positron annihilation in one dimensional weakly coupled one component plasma”, Indian J of Pure & Appl Phys, Vol. 45(9), pp.738-740, 2007.
[14] S. Ichimaru, “Theory of fluctuations in a plasma”, Ann Phys, Vol. 20(1), pp. 78-118, 1962.
[15] S. Ichimaru, “Statistical Plasma Physics”, Addision Wesley Publishing Company, Boston, United states, 1992.
[16] R.O. Dendy, “Plasma Dynamics”, Oxford, Clarendon,1990.
[17] S.P. Tewari & J. Sood, “complex dielectric function and collective dynamics of one-dimensional weakly coupled quantum and classical hot plasmas”, Indian J of Pure & Appl Phys, Vol. 42(7), pp. 518-523, 2004.
[18] Q.P. Li and S. Das Sharma, “Elementary excitation spectrum of one-dimensional electron systems in confined semiconductor structures: Zero magnetic field”, Phys Rev B, Vol. 43(14), pp.11768-11786,1991.
[19] S.P. Tewari, H. Joshi & K. Bera, “Wave-vector and frequency-dependent collective modes in one-component rare hot quantum and classical plasmas”, J Phys: Cond Matter, Vol.7, pp. 8045, 1995.
[20] B.A. Trubnikov and V.F. Elesin, “Quantum Correlation Functions in a Maxwellian Plasma”, Sov Phys JETP, Vol. 20(4), pp. 866-872,1965.
[21] G. Burns, “Solid State Physics”, Academic Press, New York and London, 1985.