Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2004-07-09
Phys. Rev. B 71, 035348 (2005)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
12 pages, 8 figures.V2. Two added references. Final version to appear in Phys. Rev. B
Scientific paper
10.1103/PhysRevB.71.035348
We study properties of some known trial wavefunctions in bilayer quantum Hall systems at the total filling factor $ \nu_{T}=1 $. In particular, we find that the properties of a meron wavefunction and a natural "quasi-hole" wave function are dramatically different due to the broken symmetry and the associated Goldstone mode in the bulk. Although the (smallest) meron has localized charge $ 1/2 $ and logarithmically divergent energy, the charge of the quasi-hole excitation extends over the whole system and its energy diverges linearly with the area of the system. This indicates that the natural quasi-hole wavefunction is not a good trial wavefunction for excitations. It also shows that the energy of the naive candidate for a pair of meron wavefunction written down previously increases quadratically instead of logarithmically as their separation increases. Our results indicate that qualitatively good trial wave functions for the ground state and the excitations of the interlayer coherent bilayer quantum Hall system at finite $ d $ are still not available and searching for them remains an important open problem.
Jeon Gun Sang
Ye Jinwu
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