Fractionally Quantized Hall Effect: Liquid-Crystal Ground-State and it Excitations
| dc.creator | Balev, O. G. | |
| dc.date | 2007-08-28 | |
| dc.date | 2007-12-09 | |
| dc.date.accessioned | 2026-07-07T08:47:48Z | |
| dc.date.available | 2026-07-07T08:47:48Z | |
| dc.description | It is shown that the ground-state and the lowest excited-states of two-dimensional electron system (2DES), with ion jellium background, correspond to partial crystal-like (with the period $L_{x}^{\square}=\sqrt{2 m π} \ell_{0}$) correlation order among $N$ electrons of the main region (MR; $L_{x} \times L_{y}$). Many-body variational ground-state wave function of 2DES is presented at the fractional and the integral filling factors $ν=1/m$; $m=2\ell+1$ and $\ell=0, 1, 2,...$. The ground-state manifests the broken symmetry liquid-crystal state with 2DES density that is periodic along the $y-$ direction, with the period $L_{x}^{\square}/m$, and independent of $x$. At $m=3, 5$, the ground-state has essentially lower energy per electron than the Laughlin, uniform liquid, ground-state; the same holds at $m=1$. At $m \geq 3$, the compound form of the many-body ground-state wave function leads to the compound structure of each electron within the main strip (MS; $L_{x}^{\square} \times L_{y}$). Obtained compound exciton and compound spin-exciton states show finite excitation gaps. The excited compound electron (hole) is composed, within MS, from $m$ strongly correlated quasielectrons (quasiholes) of the total charge $e/m$ ($-e/m$) each. The activation gap is obtained: it is given by the excitation gap of relevant compound exciton, at $m \geq 3$, and by the gap of pertinent compound spin-exciton, at $m=1$. Quantized Hall conductance $σ_{H}=e^{2}/(2 m π\hbar)$ is obtained. The theory is in good agreement with experiments. | |
| dc.description | Preprint for EP2DS-17, corrected typos added content | |
| dc.identifier | https://arxiv.org/abs/0708.3817 | |
| dc.identifier | http://arxiv.org/abs/0708.3817 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/143730 | |
| dc.subject | Mesoscale and Nanoscale Physics | |
| dc.subject | Strongly Correlated Electrons | |
| dc.title | Fractionally Quantized Hall Effect: Liquid-Crystal Ground-State and it Excitations | |
| dc.type | text |