Ground State of v=1 Bilayer Quantum Hall Systems

Details Ground State of v=1 Bilayer Quantum Hall Systems Ground State of v=1 Bilayer Quantum Hall Systems

2006-01-27

arxiv.org/abs/cond-mat/0601625v3

J. Phys. Soc. Jpn. Vol.75 (2006) 043712

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 5 figures, to appear in J. Phys. Soc. Jpn. Vol.75, No.4 (2006)

Scientific paper

10.1143/JPSJ.75.043712

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.

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