Abstract We construct a mapped bilayer quantum Hall system to realize the proposal that two nearly flatbands have opposite Chern numbers. For the C=±1 case, the two Landau levels of the bilayer experience opposite magnetic fields. We consider a mapped bilayer quantum Hall system at total filling ν_{t}=1/2+1/2 where the intralayer interaction is repulsive and the interlayer interaction is attractive. We take exact diagonalization (ED) calculations on a torus to study the phase transition when the separation distance d/l_{B} is driven. The critical point at d_{c}/l_{B} = 0.68 is characterized by a collapse of degeneracy and a crossing of energy levels. In the region d/l_{B}<d_{c}/l_{B}, the states of each level are highly degenerate. The pair-correlation function indicates electrons with opposite pseudo-spins are strong correlated at r=0. We find an exciton stripe phase composed of bound pairs. The ferromagnetic ground state is destroyed by the strong effective attractive potential. An electron composite-Fermion (eCF) and a hole composite Fermion (hCF) are tightly bound. In the region d/l_{B}>d_{c}/l_{B}, a crossover from the d→d_{c} limit to the large d limit is observed. The electron and hole composite Fermion liquids (CFL) are realized by composite Fermions (CF) which attach opposite fluxes, respectively.

Corresponding Authors:
Ke Yang
E-mail: yangke@ucas.ac.cn

Cite this article:

Ke Yang(杨珂) Phase transition in bilayer quantum Hall system with opposite magnetic field 2023 Chin. Phys. B 32 097303

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