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Exchange‐Correlation Effects in a Finite‐Temperature Quasi‐One‐Dimensional Electron Gas
Author(s) -
Sharma Akariti,
Kaur Kulveer,
Garg Vinayak,
Moudgil Rajinder K.
Publication year - 2018
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.201800174
Subject(s) - fermi gas , plasmon , physics , condensed matter physics , random phase approximation , electron , excitation , range (aeronautics) , structure factor , monotonic function , quantum mechanics , materials science , mathematics , mathematical analysis , composite material
The exchange‐correlation effects in a finite‐temperature quasi‐one‐dimensional electron gas, using the self‐consistent mean‐field theory of Singwi, Tosi, Land, and Sjölander have been theoretically investigated. The influence of temperature T is elucidated by calculating different static properties (viz. static structure factor, pair‐correlation function, static density susceptibility, and free exchange‐correlation energy) and the plasmon excitation spectra over a wide range of T and electron number density. Noticeable dependence on T is found, with an interesting interplay between short‐range electron correlations and T . More precisely, the pair‐correlation function at small separation and for a given density first becomes stronger (i.e., its value decreases) with increasing T and then weakens monotonically above a critical T , whose value increases with reduction in density. On the other hand, the plasmon energy shows a consistent blue shift with rising T . However, the critical wave vector at which plasmons enter the single electron–hole pair continuum, decreases with T . For highlighting the correction due to short‐range correlations, the results have been compared with the predictions of random‐phase approximation (RPA). As for the zero‐ T case, the RPA is found to be reliable only in the high density domain.