Hilbert space and ground-state structure of bilayer quantum Hall systems at ν =2 /λ

@article{Calixto2017HilbertSA,
  title={Hilbert space and ground-state structure of bilayer quantum Hall systems at $\nu$ =2 /$\lambda$},
  author={M. Calixto and C. Pe{\'o}n-Nieto and E. P{\'e}rez-Romero},
  journal={Physical Review B},
  year={2017},
  volume={95},
  pages={235302}
}
We analyze the Hilbert space and ground state structure of bilayer quantum Hall (BLQH) systems at fractional filling factors $\nu=2/\lambda$ ($\lambda$ odd) and we also study the large $SU(4)$ isospin-$\lambda$ limit. The model Hamiltonian is an adaptation of the $\nu=2$ case [Z.F. Ezawa {\it et al.}, Phys. Rev. {B71} (2005) 125318] to the many-body situation (arbitrary $\lambda$ flux quanta per electron). The semiclassical regime and quantum phase diagram (in terms of layer distance, Zeeeman… Expand

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