Berciu and Bhatt Reply:

A Reply to the Comment by C. Timm, F. Schafer, and F. von Oppen.

Figure 1

Left: DOS for hopping Hamiltonian with $t(r)>0$. The inset shows the effect of the AFM coupling ($J=15\mathrm{m}\mathrm{e}\mathrm{V}$): the $\sigma =\uparrow$ and $\sigma =\downarrow$ bands (thick lines) are no longer degenerate at low temperatures. For comparison, we plot the $J=0$ DOS as well (thin line). Right: dependence of the average IPR on the energy. In both pictures $x=0.0093$.