Abstract

It is known that complex growth environments often induce inhomogeneity in two-dimensional (2D) materials and significantly restrict their applications. In this paper, we proposed an efficient method to analyze the inhomogeneity of 2D materials by combination of Raman spectroscopy and unsupervised k-means clustering analysis. Taking advantage of k-means analysis, it can provide not only the characteristic Raman spectrum for each cluster but also the cluster spatial maps. It has been demonstrated that inhomogeneities and their spatial distributions are simultaneously revealed in all CVD-grown MoS2, WS2 and WSe2 samples. Uniform p-type doping and varied tensile strain were found in polycrystalline monolayer MoS2 from the grain boundary and edges to the grain center (single crystal). The bilayer MoS2 with AA and AB stacking are shown to have relatively uniform p-doping but a gradual increase of compressive strain from center to the periphery. Irregular distribution of mode in WS2 and mode in WSe2 is revealed due to defect and strain, respectively. All the inhomogeneity could be directly characterized in color-coded Raman imaging with correlated characteristic spectra. Moreover, the influence of strain and doping in the MoS2 can be well decoupled and be spatially verified by correlating with the clustered maps. Our k-means clustering Raman analysis can dramatically simplify the inhomogeneity analysis for large Raman data in 2D materials, paving the way towards direct evaluation for high quality 2D materials.

Highlights

  • Two-dimensional (2D) transition metal dichalcogenides (TMD), MX2 (M = Mo, W and X = S, Se, etc.), have attracted considerable attention due to their unique physical and chemical properties, exhibiting promising applications on optoelectronics [1,2,3], valleyelectronics [4] and chemical sensors [5,6]

  • We proposed an unsupervised k-means clustering Raman analysis [39] to directly identify the inhomogeneity in MoS2, WS2 and WSe2 samples grown by the CVD method

  • With the help of k-means clustering, the bilayer MoS2 with AA and AB stacking were verified with four typical areas from center to periphery with a gradual increase of compressive strain and uniform p-doping

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Summary

Introduction

Nanomaterials 2022, 12, 414 in CVD and the interfacial interaction with substrate, mono- and few-layer TMD materials often host various inhomogeneities such as defects, strain and doping [15,16,17,18,19,20], which affects their mobility and electronic properties [21,22,23,24,25]. With the help of k-means clustering, the bilayer MoS2 with AA and AB stacking were verified with four typical areas from center to periphery with a gradual increase of compressive strain and uniform p-doping We extended such analysis to probe the inhomogeneity in monolayer WS2. Combination of Raman spectroscopy with k-means clustering was proven to be efficient to distinguish the inhomogeneities distributions in the 2D materials caused by strain and doping These results have demonstrated to be important for quality check in CVD-grown.

Experimental Section
The K-Means Clustering and Inhomogeneity Visualization for Confocal
K-Means
K-Means Raman Analysis of Bilayer MoS2 with Different Stacking
The k-means clustering
K-Means Raman Analysis of Monolayer WS2 and WSe2
Conclusions
Full Text
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