English

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

Other Condensed Matter 2021-02-04 v4

Abstract

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.

Keywords

Cite

@article{arxiv.1810.03732,
  title  = {Basis-Independent Spectral Methods for Non-linear Optical Response in Arbitrary Tight-binding Models},
  author = {S. M. João and J. M. V. P. Lopes},
  journal= {arXiv preprint arXiv:1810.03732},
  year   = {2021}
}

Comments

13 pages, 13 figures

R2 v1 2026-06-23T04:32:49.472Z