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

Journal Article · Fri May 15 00:00:00 EDT 2015 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.4915395· OSTI ID:22391716

Arora, Priya; Bhukal, Nisha ^[1]

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1. Department of Physics, Kurukshetra University, Kurukshetra – 136 119 (India)

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.

• OSTI ID: 22391716
• Journal Information: AIP Conference Proceedings, Vol. 1661, 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); ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

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