2025/09/21 by Huang, Kai-Wen, Hou, Xiang-Jian, Wu, Ying-Hai
#FOS: Physical sciences #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Quantum Gases (cond-mat.quant-gas) #Strongly Correlated Electrons (cond-mat.str-el)
paper · doi:10.48550/arxiv.2509.17113
We study phase transitions in bilayer and trilayer bosonic quantum Hall systems. In the absence of interlayer tunneling and interaction, each layer is chosen to have filling factor ν=1/2 or 1 to realize the Laughlin state or the Moore-Read state. By tuning interlayer tunneling and/or interaction, multiple phases can be generated. In the absence of interlayer interaction, three phase transitions appear when interlayer tunneling becomes sufficiently strong: (1) from two decoupled ν=1/2 Laughlin states to the Moore-Read state in bilayer systems; (2) from one ν=1/2 Laughlin state plus one ν=1 Moore-Read state to the Read-Rezayi ℤ3 state in bilayer systems; (3) from three decoupled ν=1/2 Laughlin states to the Read-Rezayi ℤ3 state in trilayer systems. Numerical calculations suggest that these transitions are third-order ones. We propose non-Abelian Chern-Simons-Higgs theory to describe them. If both interlayer tunneling and interaction are present, one-component or multi-component composite fermion liquids and Jain states can be realized. This leads to intricate phase diagrams that host multiple phase transitions and possibly exotic critical points.