EPJ Web Conf.
Volume 233, 2020Portuguese Condensed Matter Physics National Conference (CMPNC 2019)
|Number of page(s)||4|
|Section||2D Materials, Complex Systems and Statistical and Nonlinear Physics|
|Published online||16 April 2020|
Theoretical calculations of nonlinear optical calculations of 2D materials
Centro de Física das Universidades do Minho e Porto, Universidade do Porto, 4169-007, Porto, Portu¬gal
* Corresponding author: email@example.com
Published online: 16 April 2020
One important feature of two dimensional (2D) materials is that they possess an exceptional nonlinear optical (NLO) response to light, with conduc¬tivities that are several orders of magnitude larger than their 3D counterparts. The theoretical descriptions of these NLO responses in crystalline systems in¬volve two different representations of the perturbation: the length and velocity gauges. The former has been the formalism of choice for the past two decades; the latter was implemented only recently, due to concerns that it could not be pratically implemented without breaking sum rules – a set of identities that en¬sure the equivalence between the two formalisms – which would then render the results unphysical. In this work, we shall review and summarize our contri¬butions to the study of the two formalisms and of their relationship by means of the aforementioned sum rules.
© The Authors, published by EDP Sciences, 2020
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