# 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:

- Department of Physics, Kurukshetra University, Kurukshetra – 136 119 (India)
- (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}

}