Dataset for article "Determination of interatomic coupling between two-dimensional crystals using angle-resolved photoemission spectroscopy"

This dataset contains information about the results of angle-resolved photoemission spectroscopy (ARPES) measurements of twisted bilayer graphene as well as theoretical modelling of this experiment. It accompanies a peer reviewed academic publication in which the experiment and theoretical model are described in more detail.The ARPES measurements were performed at the Spectromicroscopy beamline at the Elettra synchrotron (Trieste, Italy). Before measurements, the samples were annealed at 350 °C for 30 minutes. The experiment was then performed at a base pressure of 10^-10 mbar in ultrahigh vacuum and at the temperature of 110 K. We used photons with energy of 74 eV and estimate our energy and angular resolution as 50 meV and 0.5°, respectively. For each sample, we determined the twist angle by measuring the distance between the nearest BZ corners of the two layers. The theoretical graphs and spectra were produced using equations given in the text of the manuscript.Experimental ARPES data was transferred to Matlab for further analysis and processing. Theoretical simulations were also performed using Matlab. All the enclosed data is saved in Matlab formats.The following describes content of the files in the archive (below, "(x)" stands for numerical part of the name of one of the files in the archive; figure numbers refer to figures in the accompanying publication): - Cut_9_64.mat - experimental ARPES map for Fig 2(a). - couplinggraphs.mat - plots in Fig 2(b). - Cut_9_06.mat - experimental ARPES map for Fig 3(a). - Cut_19.mat – experimental ARPES mao for Fig. 3(b). - (x)energyworkspace.mat - calculated ARPES maps for Fig 4 at energy (x). - experimental(x)workspace.mat - experimental data for Fig 4 at energy (x). - Bilayer_19_1.mat – original experimental ARPES data for twisted bilayer graphene in Fig 3 (b); workspace is organised in the same way as “E_contour_(x).mat” described below. - E_contour_(x).mat - original experimental ARPES data for twisted trilayer with twist angle (x); within this file, the structures "SMPM12058_(x)" contain information about photoelectrons with energy (x); the variables "x" and "y" correspond to kx and ky, respectively, and "value" to measured ARPES intensity; also contained within these structure is variable "info" which describes experimental details of the ARPES measurement. - IntensityCutTBLG134 and IntensityCutTBLG096 correspond to the supplementary figure 1, sub-figures (a) and (b) respectively