학술논문
Method of computation of energies in the fractional quantum Hall effect regime
Document Type
Working Paper
Author
Source
Condens. Matter Phys., vol. 19, No. 3, 33702 (2016)
Subject
Language
Abstract
In a previous work, we reported exact results of energies of the ground state in the fractional quantum Hall effect (FQHE) regime for systems with up to $N_{\text{e}} = 6$ electrons at the filling factor $\nu = 1/3$ by using the method of complex polar coordinates. In this work, we display interesting computational details of the previous calculation and extend the calculation to $N_{\text{e}} = 7$ electrons at $\nu = 1/3$. Moreover, similar exact results are derived at the filling $\nu = 1/5$ for systems with up to $N_{\text{e}} = 6$ electrons. The results that we obtained by analytical calculation are in good agreement with their analogues ones derived by the method of Monte Carlo in a precedent work.
Comment: 9 pages, 1 figure
Comment: 9 pages, 1 figure