Low-Lying Electronic Excitations and Nonlinear Optic Properties of Polymers via Symmetrized Density Matrix Renormalization Group Method

TL;DR

This paper introduces a highly accurate symmetrized Density Matrix Renormalization Group method combined with the correction vector approach to study nonlinear optical properties of one-dimensional Hubbard and $U-V$ models, revealing phase-dependent responses.

Contribution

The paper presents a novel application of the symmetrized DMRG with correction vector approach for dynamic polarizabilities in Hubbard models, highlighting phase-dependent nonlinear optical responses.

Findings

The method accurately computes linear and third order polarizabilities.

Different third harmonic generation responses are observed in CDW and SDW phases.

Excitation spectra explain the phase-dependent optical responses.

Abstract

A symmetrized Density Matrix Renormalization Group procedure together with the correction vector approach is shown to be highly accurate for obtaining dynamic linear and third order polarizabilities of one-dimensional Hubbard and $U-V$ models. The $U-V$ model is seen to show characteristically different third harmonic generation response in the CDW and SDW phases. This can be rationalized from the excitation spectrum of the systems.