Phase transitions of bosonic fractional quantum Hall effect in topological flat bands

Abstract

We study the phase transitions of bosonic $\nu =1/2$ fractional quantum Hall (FQH) effect in different topological lattice models under the interplay of onsite periodic potential and Hubbard repulsion. Through exact diagonalization and density matrix renormalization group methods, we demonstrate that the many-body ground state undergoes a continuous phase transition between bosonic FQH liquid and a trivial (Mott) insulator induced by the periodic potential, characterized by the smooth crossover of energy and entanglement entropy. When the Hubbard repulsion decreases, we claim that this bosonic FQH liquid would turn into a superfluid state with direct energy level crossing and a discontinuous leap of off-diagonal long-range order.

arXiv comment8 pages, 7 figures; revised version

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Cited by in corpus (3)

• Anyon Superconductivity from Topological Criticality in a Hofstadter-Hubbard Model
• Continuous phase transitions between fractional quantum Hall states and symmetry-protected topological states
• Continuous Transition between Bosonic Fractional Chern Insulator and Superfluid