Open AccessFINITE CLUSTER STUDIES OF THE FQHE
Author(s) -
Xiaoming Xiong,
Zhou Shi-Xun
Publication year - 1987
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.36.1630
Subject(s) - physics , coulomb , hamiltonian (control theory) , ground state , cluster (spacecraft) , compressibility , electron , magnetic field , quantum mechanics , mechanics , computer science , mathematics , mathematical optimization , programming language
Finite cluster system of two dimensional electron gas under a high magnetic field are investigated by numerical diagonalization of the Hamiltonian. Especially for the three Coulomb interacting electron system, the detailed study is presented. The contribution from the uniform neutralizing background is included. Method used in this paper is very simple. The numerical result of the ground state energy at 1/3 filling factor gives good approach to that of the incompressible fluid.