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We study in this work the ground state entanglement properties of two modelsof non-interacting fermions moving in one-dimension (1D), that exhibitmetal-insulator transitions. We find that entanglement entropy grows eitherlogarithmically or in a power-law fashion in the metallic phase, thus violatingthe (1D version of) entanglement area law. No such violation is found in theinsulating phase. We further find that characteristics of {\em single fermion}states at the Fermi energy (which can {\em not} be obtained from themany-fermion Slater determinant) is captured by the lowest energy singlefermion mode of the {\em entanglement} Hamiltonian; this is particularly trueat the metal-insulator transition point. Our results suggest entanglement is apowerful way to detect metal-insulator transitions, {\em without} knowledge ofthe Hamiltonian of the system.

Maximally Entangled Mode, Metal-Insulator Transition and Violation of Entanglement Area Law in Non-interacting Fermion Ground States