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Hall coefficient implies the mechanism for reconstruction of a Fermi surface,distinguishing competing scenarios for Mott criticality such as electronfractionalization, dynamical mean-field theory, and metal-insulator transitiondriven by symmetry breaking. We find that electron fractionalization leaves asignature for the Hall coefficient at Mott criticality in two dimensions, aunique feature differentiated from other theories. We evaluate the Hallcoefficient based on the quantum Boltzman equation approach, guaranteeing gaugeinvariance in both longitudinal and transverse transport coefficients.

Evidence of electron fractionalization in the Hall coefficient at Mott criticality