Ground State of v=1 Bilayer Quantum Hall Systems
arXiv:cond-mat/0601625 · doi:10.1143/JPSJ.75.043712
Abstract
The ground-state wave function and the energy gap are calculated for various layer separations d and for up to 24 electrons by the density matrix renormalization group (DMRG) method. Two-particle distribution function and excitonic correlation function are calculated from the ground-state wave function, and the evolution of the ground state with increasing d is analyzed. The results indicate that the transition is continuous. A smooth crossover of the ground state is found at around d/l ~ 1.6 from the excitonic character at small d/l to the independent Fermi-liquid character at large d/l, where l is the magnetic length.
4 pages, 5 figures, to appear in J. Phys. Soc. Jpn. Vol.75, No.4 (2006)