Basis-Independent Spectral Methods for Non-linear Optical Response in Arbitrary Tight-binding Models

In this paper, we developed a basis-independent perturbative method for calculating the non-linear optical response of arbitrary non-interacting tight-binding models. Our method is based on the non-equilibrium Keldysh formalism and allows an efficient numerical implementation within the framework of...

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Bibliographic Details
Published in:arXiv.org 2021-02
Main Authors: João, S M, J M V P Lopes
Format: Article
Language:English
Subjects:
Binding
Formalism
Mathematical models
Nonlinear response
Numerical methods
Spectral methods
Online Access:Get full text
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Summary:In this paper, we developed a basis-independent perturbative method for calculating the non-linear optical response of arbitrary non-interacting tight-binding models. Our method is based on the non-equilibrium Keldysh formalism and allows an efficient numerical implementation within the framework of the Kernel Polynomial Method for systems which are not required to be translation-invariant. Some proof-of-concept results of the second-order optical conductivity are presented for the special case of gapped graphene with vacancies and an on-site Anderson disordered potential.
ISSN:2331-8422
DOI:10.48550/arxiv.1810.03732