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Title: First-order exchange and self-energy corrections to static density correlation function of a spin-polarized two-dimensional quantum electron fluid

Abstract

Static density-density correlation function has been calculated for a spin-polarized two-dimensional quantum electron fluid by including the first-order exchange and self-energy corrections to the random-phase approximation (RPA). This is achieved by determining these corrections to the RPA linear density-density response function, obtained by solving the equation of motion for the single-particle Green’s function. Resulting infinite hierarchy of equations (involving higher-order Green’s functions) is truncated by factorizing the two-particle Green’s function as a product of the single-particle Green’s function and one-particle distribution function. Numerical results of correlation function are compared directly against the quantum Monte Carlo simulation data due to Tanatar and Ceperley for different coupling parameter (r{sub s}) values. We find almost exact agreement for r{sub s}=1, with a noticeable improvement over the RPA. Its quality, however, deteriorates with increasing r{sub s}, but correction to RPA is quite significant.

Authors:
;  [1];  [1];  [2]
  1. Department of Physics, Kurukshetra University, Kurukshetra – 136 119 (India)
  2. (India)
Publication Date:
OSTI Identifier:
22391716
Resource Type:
Journal Article
Journal Name:
AIP Conference Proceedings
Additional Journal Information:
Journal Volume: 1661; Journal Issue: 1; Conference: ICCMP 2014: International Conference on Condensed Matter Physics 2014, Shimla (India), 4-6 Nov 2014; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0094-243X
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; COMPARATIVE EVALUATIONS; COMPUTERIZED SIMULATION; CORRECTIONS; CORRELATION FUNCTIONS; COUPLING; DISTRIBUTION FUNCTIONS; ELECTRONS; EQUATIONS OF MOTION; GREEN FUNCTION; MONTE CARLO METHOD; QUANTUM FLUIDS; RANDOM PHASE APPROXIMATION; RESPONSE FUNCTIONS; SELF-ENERGY; SPIN ORIENTATION; TWO-DIMENSIONAL CALCULATIONS

Citation Formats

Arora, Priya, Moudgil, R. K., E-mail: rkmoudgil@kuk.ac.in, Bhukal, Nisha, and Department of Physics, Government College, Chhachhrauli - 135103. First-order exchange and self-energy corrections to static density correlation function of a spin-polarized two-dimensional quantum electron fluid. United States: N. p., 2015. Web. doi:10.1063/1.4915395.
Arora, Priya, Moudgil, R. K., E-mail: rkmoudgil@kuk.ac.in, Bhukal, Nisha, & Department of Physics, Government College, Chhachhrauli - 135103. First-order exchange and self-energy corrections to static density correlation function of a spin-polarized two-dimensional quantum electron fluid. United States. doi:10.1063/1.4915395.
Arora, Priya, Moudgil, R. K., E-mail: rkmoudgil@kuk.ac.in, Bhukal, Nisha, and Department of Physics, Government College, Chhachhrauli - 135103. Fri . "First-order exchange and self-energy corrections to static density correlation function of a spin-polarized two-dimensional quantum electron fluid". United States. doi:10.1063/1.4915395.
@article{osti_22391716,
title = {First-order exchange and self-energy corrections to static density correlation function of a spin-polarized two-dimensional quantum electron fluid},
author = {Arora, Priya and Moudgil, R. K., E-mail: rkmoudgil@kuk.ac.in and Bhukal, Nisha and Department of Physics, Government College, Chhachhrauli - 135103},
abstractNote = {Static density-density correlation function has been calculated for a spin-polarized two-dimensional quantum electron fluid by including the first-order exchange and self-energy corrections to the random-phase approximation (RPA). This is achieved by determining these corrections to the RPA linear density-density response function, obtained by solving the equation of motion for the single-particle Green’s function. Resulting infinite hierarchy of equations (involving higher-order Green’s functions) is truncated by factorizing the two-particle Green’s function as a product of the single-particle Green’s function and one-particle distribution function. Numerical results of correlation function are compared directly against the quantum Monte Carlo simulation data due to Tanatar and Ceperley for different coupling parameter (r{sub s}) values. We find almost exact agreement for r{sub s}=1, with a noticeable improvement over the RPA. Its quality, however, deteriorates with increasing r{sub s}, but correction to RPA is quite significant.},
doi = {10.1063/1.4915395},
journal = {AIP Conference Proceedings},
issn = {0094-243X},
number = 1,
volume = 1661,
place = {United States},
year = {2015},
month = {5}
}