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

J. M. V. P. Lopes; S. M. Jo\~ao

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

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arxiv 1810.03732 v4 pith:37ID4PDI submitted 2018-10-08 cond-mat.other

S. M. João , J. M. V. P. Lopes This is my paper · ORCID

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keywords methodopticalarbitrarybasis-independentmodelsnon-linearresponsetight-binding

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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.

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Any small disorder turns a clean Weyl nodal loop semimetal into a multifractal semimetal, and at a critical disorder there is a transition to a diffusive metal with exponents nu=1.0 and z=1.9.

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