Exciton Mott transition in electron-hole systems: Dynamical mean-field theory for the continuous-space model

Abstract

We study the exciton Mott transition in the three-dimensional electron-hole (e-h) system by means of an extension of the dynamical mean field theory (DMFT). In order to apply DMFT to the e-h system with the contact e-h attraction v, we construct DMFT for the continuous-space model by introducing the short wavelength cut-off. Using the generalized formulation of DMFT, we calculate the temperature dependence of the single-particle density of states and the exciton density. We demonstrate that the system crossovers from metal to insulator as v increases, and finally determine the phase diagram.