Local density of states of the interacting resonant level model at zero temperature

The Anderson single impurity model, including its Kondo limit, can be seen as the hydrogen atom for correlated systems. Its most striking feature is universal scaling of low-energy properties governed by appearance a emergent scale, temperature ${T}_{K}$. In this work, we demonstrate emergence second independent energy scale in quantum interacting resonant level which equivalent to anisotropic model. We study local density states at site ground state (zero limit) see collapse data onto curves low energies, however only achieved defining with different power law dependence on model parameters than temperature. provide an exact expression critical exponent. also report splitting central resonance interaction strength increased absence any external magnetic field