▎ 摘　　要

We show that the modulation of the hopping amplitudes in the honeycomb lattice of the monolayer graphene uniquely defines a metric which corresponds to the shape of the Dirac cone near the Dirac points. The spin connection derived from this effective metric field agrees exactly with the microscopic tight-binding Hamiltonian. The paradoxical mismatch between the quantum field theory (QFT) approach and the microscopic tight-binding model in the literature is resolved. The effective metric as seen by the sublattice pseudospin is different from the real-space metric as defined by the two-dimensional manifold of the graphene monolayer. All relevant terms of the effective gauge field from the microscopic model are calculated exactly for a unimodular effective metric.