Reply to Comment on "Evolution of electronic structure of doped Mott insulator - reconstruction of poles and zeros of Green's function" [arXiv:0904.0454] by P. Phillips

TL;DR

This paper defends its original findings on spectral weight transfer in doped Mott insulators against criticism, emphasizing the novel rapid increase in spectral weight just above the chemical potential upon tiny doping.

Contribution

It clarifies that criticisms are unrelated to their work and highlights the discovery of an unprecedented quick spectral weight transfer in doped Mott insulators.

Findings

Rapid, non-linear increase in spectral weight above chemical potential with tiny doping

Spectral weight transfer occurs via avalanche-like screening of doublon-holon binding energy

Criticism unrelated to the original findings and emphasizes novelty of the results

Abstract

In a recent Comment [arXiv:0904.0454] on our Letter [Phys. Rev. Lett. 102, 056404 (2009); arXiv:0809:0950], Phillips criticizes one specific issue discussed in our paper, concerning the spectral weight transfer, among our wide-ranging clarifications of the filling-control Mott transition. Here we show that all his criticisms have nothing to do with our contributions. Our nontrivial finding on this particular aspect is a very quick, non-linear increase in the spectral weight just above the chemical potential caused by tiny doping to the Mott insulator, which is indeed unprecedented in the literature. We call attention to its novelty in comparison with the perturbation theory, and reemphasize our picture for the quick weight transfer, that is, an avalanchine screening of doublon-holon binding energy.