Abstract
We investigate entanglement contour of a one-dimensional non-interacting electronic systems with two different models of the static disorder. We obtain the scaling behavior of entanglement contour for the standard Anderson model at zero temperature. We show that the exponential scaling of the entanglement contour leads a universal area law of entanglement entropy. On the other hand, the power-law scaling of entanglement contour reflects the logarithmic scaling law of entanglement entropy. Furthermore, we demonstrate entanglement contour as a theoretical tool for the characterization of quantum phase transition in condensed matter problems. More precisely, we numerically explore the scale-invariant feature of the scaled entanglement contour in the vicinity of metal–insulator transition for the power-law correlated disorder model. • We report the numerical calculations of the entanglement contour in the disordered electronic systems. • The decay of entanglement contour reflects the scaling law of entanglement entropy. • Entanglement contour is considered as a theoretical tool for the characterization of quantum phase transition in condensed matter problems.
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