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Creating a bosonic fractional quantum Hall state by pairing fermions

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Repellin,  Cecile
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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Citation

Repellin, C., Yefsah, T., & Sterdyniak, A. (2017). Creating a bosonic fractional quantum Hall state by pairing fermions. Physical Review B, 96(16): 161111. doi:10.1103/PhysRevB.96.161111.


Cite as: http://hdl.handle.net/11858/00-001M-0000-002E-A25B-6
Abstract
We numerically study the behavior of spin-1/2 fermions on a two-dimensional square lattice subject to a uniform magnetic field, where opposite spins interact via an on-site attractive interaction. Starting from the noninteracting case where each spin population is prepared in a quantum Hall state with unity filling, we follow the evolution of the system as the interaction strength is increased. Above a critical value and for sufficiently low flux density, we observe the emergence of a twofold quasidegeneracy accompanied by the opening of an energy gap to the third level. Analysis of the entanglement spectra shows that the gapped ground state is the bosonic 1/2 Laughlin state. Our work therefore provides compelling evidence of a topological phase transition from the fermionic quantum Hall state at unity filling to the bosonic Laughlin state at a critical attraction strength of the order of the one-body spectrum linewidth.