Quantum criticality of magnetic catalysis in two-dimensional correlated Dirac fermions

We study quantum criticality of the magnetic-field-induced charge density wave (CDW) order in correlated spinless Dirac fermions on the pi-flux square lattice at zero temperature as a prototypical example of the magnetic catalysis, by using the infinite density matrix renormalization group. It is found that the CDW order parameter M(B) exhibits an anomalous magnetic field (B) scaling behavior characteristic of the (2 + 1)-dimensional chiral Ising universality class near the quantum critical point, which leads to a strong enhancement of M(B) compared with a mean-field result. We also establish a global phase diagram in the interaction-magnetic field plane for the fermionic quantum criticality.