2016/12/29 by Cécile Repellin, Tarik Yefsah, A. Sterdyniak +1
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Composite fermion #Condensed matter physics #Fermion #Fractional quantum Hall effect #Ground state #Magnetic field #Pairing #Physics #Quantum #Quantum Hall effect #Quantum and electron transport phenomena #Quantum entanglement #Quantum mechanics #Quantum phase transition #Quantum spin Hall effect #Spins #Topological Materials and Phenomena #Topological order #cond-mat.quant-gas #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.96.161111
published as Phys. Rev. B 96, 161111 (2017)
arxiv created 2016/12/29 · openalex publication_date 2017/10/23 · arxiv updated 2017/11/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.