  The helical edge states in a quantum spin Hall insulator are presumably
protected by time- reversal symmetry. However, even in the presence of magnetic
field which breaks time-reversal symmetry, the helical edge conduction can
still exist, dubbed as pseudo quantum spin Hall effect. In this work, the
effects of the magnetic fields on the pseudo quantum spin Hall effect and the
phase transitions are studied. We show that an in-plane magnetic field drives a
pseudo quantum spin Hall state to metallic state at a high field. Moreover, at
a fixed in-plane magnetic field, an increasing out-of-plane magnetic field
leads to a reentrance of pseudo quantum spin Hall state in an inverted
InAs/GaSb quantum well. The edge state probability distribution and Chern
numbers are calculated to verify that the reentrant states are topologically
nontrivial. The origin of the reentrant behavior is attributed to the
nonmonotonic bending of Landau levels and the Landau level mixing caused by the
orbital effect induced by the in-plane magnetic field. The robustness to
disorder is demonstrated by the numerically calculated quantized conductance
for disordered nanowires within Landauer-B\"uttiker formalism.
