# Skyrmion physics beyond the lowest Landau-level approximation

## Abstract

The effects of Landau-level mixing and finite thickness of the two-dimensional electron gas on the relative stability of Skyrmion and single spin-flip excitations at Landau-level filling factor {nu}=1 have been investigated. Landau-level mixing is studied by fixed-phase diffusion Monte Carlo, and finite thickness is included by modifying the effective Coulomb interaction. Both Landau-level mixing and finite thickness lower Skyrmion excitation energies and favor Skyrmions with fewer spin flips. However, the two effects do not work {open_quotes}coherently.{close_quotes} When finite thickness is included, the effect of Landau-level mixing is strongly suppressed. {copyright} {ital 1999} {ital The American Physical Society}

- Authors:

- Department of Physics, University of Rhode Island, Kingston, Rhode Island 02881 (United States)
- National High Magnetic Field Laboratory and Department of Physics, Florida State University, Tallahassee, Florida 32310 (United States)
- Theoretical Division, Los Alamos National Laboratory, P.O. Box 1663, Los Alamos, New Mexico 87545 (United States)

- Publication Date:

- OSTI Identifier:
- 686559

- Resource Type:
- Journal Article

- Journal Name:
- Physical Review, B: Condensed Matter

- Additional Journal Information:
- Journal Volume: 60; Journal Issue: 12; Other Information: PBD: Sep 1999

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 66 PHYSICS; SKYRME POTENTIAL; SOLITONS; ELECTRON GAS; ZEEMAN EFFECT; ENERGY GAP; SPIN FLIP; MONTE CARLO METHOD; HALL EFFECT

### Citation Formats

```
Melik-Alaverdian, V., Bonesteel, N.E., and Ortiz, G.
```*Skyrmion physics beyond the lowest Landau-level approximation*. United States: N. p., 1999.
Web. doi:10.1103/PhysRevB.60.R8501.

```
Melik-Alaverdian, V., Bonesteel, N.E., & Ortiz, G.
```*Skyrmion physics beyond the lowest Landau-level approximation*. United States. doi:10.1103/PhysRevB.60.R8501.

```
Melik-Alaverdian, V., Bonesteel, N.E., and Ortiz, G. Wed .
"Skyrmion physics beyond the lowest Landau-level approximation". United States. doi:10.1103/PhysRevB.60.R8501.
```

```
@article{osti_686559,
```

title = {Skyrmion physics beyond the lowest Landau-level approximation},

author = {Melik-Alaverdian, V. and Bonesteel, N.E. and Ortiz, G.},

abstractNote = {The effects of Landau-level mixing and finite thickness of the two-dimensional electron gas on the relative stability of Skyrmion and single spin-flip excitations at Landau-level filling factor {nu}=1 have been investigated. Landau-level mixing is studied by fixed-phase diffusion Monte Carlo, and finite thickness is included by modifying the effective Coulomb interaction. Both Landau-level mixing and finite thickness lower Skyrmion excitation energies and favor Skyrmions with fewer spin flips. However, the two effects do not work {open_quotes}coherently.{close_quotes} When finite thickness is included, the effect of Landau-level mixing is strongly suppressed. {copyright} {ital 1999} {ital The American Physical Society}},

doi = {10.1103/PhysRevB.60.R8501},

journal = {Physical Review, B: Condensed Matter},

number = 12,

volume = 60,

place = {United States},

year = {1999},

month = {9}

}

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