Pseudogap behavior in the local spinon spectrum of the power-law diverging multichannel Kondo model

Motivated by the emergence of higher-order van Hove singularities (VHS) with power-law divergent density of states (DOS) (ρ_c(ω ) =ρ₀/|ω^{| r}, 0 <r <1 ) in materials, we investigate a multichannel Kondo model involving conduction electrons near the higher-order van Hove filling, termed power-law diverging multichannel Kondo model. This model considers M channel and N spin degrees of freedom. Employing a renormalization group analysis and dynamical large-N approach, our results reveal the emergence of a pseudogap behavior in the spectral properties of the local impurity at the overscreened fixed point. We precisely determine the conditions under which the pseudogap behavior occurs, either by tuning the exponent r or the ratio κ =M /N to values such as r^* or κ^*. This pseudogap phase of spinon exhibits distinct physical properties that could have an impact on the properties of real systems. The results of this study provide novel insights into the pseudogap behaviors in strongly correlated systems and offer a playground to study the interplay between higher-order van Hove singularities and multichannel Kondo physics.