## Tunneling into the localized phase near Anderson transitions with Coulomb interaction    [PDF]

I. S. Burmistrov, I. V. Gornyi, A. D. Mirlin
We study the tunneling density of states (TDOS) of a disordered electronic system with Coulomb interaction on the insulating side of the Anderson localization transition. The average TDOS shows a critical behavior at high energies, with a crossover to a soft Coulomb gap at low energies. The single-particle excitations experience a localization transition (which belongs to the non-interacting universality class) at an energy $E=\pm E_c$. The mobility edge $E_c$ scales with the distance $\mu_c-\mu$ from the interacting critical point according to $E_c\propto (\mu_c-\mu)^{\nu z}$, where $\nu$ and $z$ are the localization-length and the dynamical critical exponents. Local TDOS shows strong fluctuations and long-range correlations which reflect the multifractality associated with interacting and non-interacting fixed points as well the localization of low-energy excitations.
View original: http://arxiv.org/abs/1307.5811