Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Phase transitions of bosonic fractional quantum Hall effect in
  topological flat bands   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.

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The categories of this paper are: gr-qc
18
The categories of this paper are: econ
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
28
The categories of this paper are: alg-geom
2
The categories of this paper are: math
3
The categories of this paper are: physics
17
The categories of this paper are: q-fin
13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs
24
The categories of this paper are: dg-ga
29
The categories of this paper are: funct-an
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
16
The categories of this paper are: stat
10
The categories of this paper are: q-bio