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We investigate the scalar perturbations in an AdS soliton background coupledto a Maxwell field via marginally stable modes. In the probe limit, we studythe magnetic field effect on the holographic insulator/superconductor phasetransition numerically and analytically. The condensate will be localized in afinite circular region for any finite constant magnetic field. Near thecritical point, we find that there exists a simple relation among the criticalchemical potential, magnetic field, the charge and mass of the scalar field.This relation indicates that the presence of the magnetic field causes thephase transition hard.

Magnetic Field Effect on the Phase Transition in AdS Soliton Spacetime