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Phase transition in bilayer quantum Hall system with opposite magnetic field |
| Ke Yang(杨珂)† |
| Kavli Institute for Theoretical Sciences, University of Chinese Academy of Sciences, Beijing 100190, China |
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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 νt=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/lB is driven. The critical point at dc/lB = 0.68 is characterized by a collapse of degeneracy and a crossing of energy levels. In the region d/lB<dc/lB, 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/lB>dc/lB, a crossover from the d→dc 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.
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Received: 05 May 2023
Revised: 10 July 2023
Accepted manuscript online: 11 July 2023
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PACS:
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73.43.-f
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(Quantum Hall effects)
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73.43.Nq
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(Quantum phase transitions)
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Corresponding Authors:
Ke Yang
E-mail: yangke@ucas.ac.cn
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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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