Entanglement Area Law in Disordered Free Fermion Anderson Model in One, Two, and Three Dimensions

Figure 1

Entanglement entropy of one-dimensional Anderson model in log-linear scale for different value of disorder strength . . Mean free path corresponding to selected ’s is indicated as a vertical line. Horizontal axis is the linear size of the system, , varying from up to . The number of samples at each point of is . The strange break in the small ’s including case is a consequence of small size effect in calculating average EE. We see that for bigger sizes the behavior is more smooth.