Nematic metal in a multi-valley electron gas: Variational Monte Carlo analysis and application to AlAs
Fuente:
arXiv
Guardado en:
| Autores principales: | , , , , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2023
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866913474816245760 |
|---|---|
| author | Valenti, Agnes Calvera, Vladimir Kivelson, Steven A. Berg, Erez Huber, Sebastian D. |
| author_facet | Valenti, Agnes Calvera, Vladimir Kivelson, Steven A. Berg, Erez Huber, Sebastian D. |
| contents | The two-dimensional electron gas is of fundamental importance in quantum many-body physics. We study a minimal extension of this model with $C_4$ (as opposed to full rotational) symmetry and an electronic dispersion with two valleys with anisotropic effective masses. Using variational Monte Carlo simulations, we find a broad intermediate range of densities with a metallic valley-polarized, spin-unpolarized ground-state. Our results are of direct relevance to the recently discovered ``nematic'' state in AlAs quantum wells. For the effective mass anisotropy relevant to this system, $m_x/m_y\approx 5.2$, we obtain a transition from an anisotropic metal to a valley-polarized metal at $r_s \approx 12$ (where $r_s$ is the dimensionless Wigner-Seitz radius). At still lower densities, we find a (possibly metastable) valley and spin-polarized state with a reduced electronic anisotropy. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_15119 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Nematic metal in a multi-valley electron gas: Variational Monte Carlo analysis and application to AlAs Valenti, Agnes Calvera, Vladimir Kivelson, Steven A. Berg, Erez Huber, Sebastian D. Strongly Correlated Electrons Mesoscale and Nanoscale Physics Statistical Mechanics The two-dimensional electron gas is of fundamental importance in quantum many-body physics. We study a minimal extension of this model with $C_4$ (as opposed to full rotational) symmetry and an electronic dispersion with two valleys with anisotropic effective masses. Using variational Monte Carlo simulations, we find a broad intermediate range of densities with a metallic valley-polarized, spin-unpolarized ground-state. Our results are of direct relevance to the recently discovered ``nematic'' state in AlAs quantum wells. For the effective mass anisotropy relevant to this system, $m_x/m_y\approx 5.2$, we obtain a transition from an anisotropic metal to a valley-polarized metal at $r_s \approx 12$ (where $r_s$ is the dimensionless Wigner-Seitz radius). At still lower densities, we find a (possibly metastable) valley and spin-polarized state with a reduced electronic anisotropy. |
| title | Nematic metal in a multi-valley electron gas: Variational Monte Carlo analysis and application to AlAs |
| topic | Strongly Correlated Electrons Mesoscale and Nanoscale Physics Statistical Mechanics |
| url | https://arxiv.org/abs/2307.15119 |