# Quantum Monte Carlo calculation of the Fermi liquid parameters of the two-dimensional homogeneous electron gas

## Abstract

Fermi liquid theory is the basic paradigm within which we understand the normal behavior of interacting electron systems, but quantitative values for the parameters that occur in this theory are currently unknown in many important cases. One such case is the two-dimensional homogeneous electron gas (2D HEG), which is realized in a wide variety of semiconductor devices. We have used quantum Monte Carlo (QMC) methods to calculate the Landau interaction functions between pairs of quasiparticles. We use these to study the Fermi liquid parameters, finding that finite-size effects represent a serious obstacle to the direct determination of Fermi liquid parameters in QMC calculations. We have used QMC data in the literature for other properties of the 2D HEG to assemble a set of “best available” values for the Fermi liquid parameters.

- Authors:

- Lancaster Univ., Lancaster (United Kingdom). Dept. of Physics
- Univ. of Cambridge (United Kingdom). Cavendish Lab.

- Publication Date:

- Research Org.:
- Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF)

- Sponsoring Org.:
- USDOE Office of Science (SC)

- OSTI Identifier:
- 1565050

- Alternate Identifier(s):
- OSTI ID: 1104319

- Grant/Contract Number:
- AC05-00OR22725

- Resource Type:
- Accepted Manuscript

- Journal Name:
- Physical Review. B, Condensed Matter and Materials Physics

- Additional Journal Information:
- Journal Volume: 88; Journal Issue: 3; Journal ID: ISSN 1098-0121

- Publisher:
- American Physical Society (APS)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; Materials Science; Physics

### Citation Formats

```
Drummond, N. D., and Needs, R. J. Quantum Monte Carlo calculation of the Fermi liquid parameters of the two-dimensional homogeneous electron gas. United States: N. p., 2013.
Web. doi:10.1103/physrevb.88.035133.
```

```
Drummond, N. D., & Needs, R. J. Quantum Monte Carlo calculation of the Fermi liquid parameters of the two-dimensional homogeneous electron gas. United States. doi:10.1103/physrevb.88.035133.
```

```
Drummond, N. D., and Needs, R. J. Thu .
"Quantum Monte Carlo calculation of the Fermi liquid parameters of the two-dimensional homogeneous electron gas". United States. doi:10.1103/physrevb.88.035133. https://www.osti.gov/servlets/purl/1565050.
```

```
@article{osti_1565050,
```

title = {Quantum Monte Carlo calculation of the Fermi liquid parameters of the two-dimensional homogeneous electron gas},

author = {Drummond, N. D. and Needs, R. J.},

abstractNote = {Fermi liquid theory is the basic paradigm within which we understand the normal behavior of interacting electron systems, but quantitative values for the parameters that occur in this theory are currently unknown in many important cases. One such case is the two-dimensional homogeneous electron gas (2D HEG), which is realized in a wide variety of semiconductor devices. We have used quantum Monte Carlo (QMC) methods to calculate the Landau interaction functions between pairs of quasiparticles. We use these to study the Fermi liquid parameters, finding that finite-size effects represent a serious obstacle to the direct determination of Fermi liquid parameters in QMC calculations. We have used QMC data in the literature for other properties of the 2D HEG to assemble a set of “best available” values for the Fermi liquid parameters.},

doi = {10.1103/physrevb.88.035133},

journal = {Physical Review. B, Condensed Matter and Materials Physics},

number = 3,

volume = 88,

place = {United States},

year = {2013},

month = {7}

}

*Citation information provided by*

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