Spin-resolved pair-correlation functions of quasi one dimensional electron gas at finite temperature

• Main Authors: Kaur, Kulveer, Sharma, Akariti, Garg, Vinayak, Moudgil, R.K.
• Format: Conference Proceeding
• Language: English
• Subjects: Electron quantum wire; Finite temperature; Pair-correlation function; Spin-polarization; Static structure factor
• ISSN: 2214-7853; 2214-7853
• DOI: 10.1016/j.matpr.2019.11.209

In a recent paper [Phys. Status Solidi B 255, 1800174 (2018)], we found that the total contact pair-correlation function g(r = 0, T) of an unpolarized quasi one dimensional electron gas (Q1DEG) exhibits non-monotonous dependence on temperature T, initially decreasing with rise in T and then increasing beyond a critical T for a fixed electron number density. Here, we calculate the spin-resolved pair-correlation functions i.e., g↑↑(r, T) [= g↓↓(r, T)] and g↑↓(r, T) of the unpolarized Q1DEG for different values of T at a fixed wire width and electron number density. To this endeavor, we are using the celebrated theory given by Singwi, Tosi, Land and Sjölander developed for an interacting three-dimensional many-electron system. Our present study reveals that with rise in T, g↑↑(r, T) at small electron separation becomes stronger in complete contrast to g↑↓(r, T) and the non-monotonic T-dependence of g(r = 0, T) is governed by the cumulative behaviour of g↑↑(r, T) and g↑↓(r, T).