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Main Authors: Xu, Nuo, Zhao, Xiao-Lin, Ren, Meng-Xue, Hou, Ke-Xin, Lv, Xiao-huan, Wang, Rui-Ning, Shi, Xing-Qiang, Wang, Jiang-Long
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2502.11005
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author Xu, Nuo
Zhao, Xiao-Lin
Ren, Meng-Xue
Hou, Ke-Xin
Lv, Xiao-huan
Wang, Rui-Ning
Shi, Xing-Qiang
Wang, Jiang-Long
author_facet Xu, Nuo
Zhao, Xiao-Lin
Ren, Meng-Xue
Hou, Ke-Xin
Lv, Xiao-huan
Wang, Rui-Ning
Shi, Xing-Qiang
Wang, Jiang-Long
contents It is usually supposed that only low-symmetry two-dimensional (2D) materials exhibit anisotropy, here we show that high-symmetry 2D semiconductors can show significant anisotropy in momentum space due to the band structure anisotropy in k-space. The basic reason is that different k-points in the Brillouin zone have different symmetry. Using 2D semiconductor WSe$_2$ as the example, we construct lateral heterostructures with zigzag and armchair connections to 2D metal NbSe$_2$, and the electronic structure and contact characteristics of these two connections are analyzed. It is found that both connections exhibit p-type Schottky barrier height (SBH) but the sizes of SBH are very different (of 0.03 eV and 0.50 eV), mainly because the band-edge energies of WSe$_2$ are different along the two mutually perpendicular directions in momentum space. There are two factors contributing to the SBH anisotropy: one is the different interface structure and the other is the band edge anisotropy of the 2D semiconductor WSe$_2$. Since the two interface structures give only a difference in interface potential change by less than 0.1 eV, the SBH variation of ~0.47 eV is mainly from the band structure anisotropy in momentum-space. So, high-symmetry 2D materials may exhibit highly anisotropic electronic states in momentum space and this affects the transport properties. Our current work extends the research field of 2D material anisotropy to 2D materials with high real-space symmetry, thus greatly expands the candidate materials for anisotropic studies and provides new guidance for optimizing the performance of 2D material devices via controlling transport directions.
format Preprint
id arxiv_https___arxiv_org_abs_2502_11005
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Anisotropic Schottky-barrier-height in high-symmetry 2D WSe$_2$: Momentum-space anisotropy
Xu, Nuo
Zhao, Xiao-Lin
Ren, Meng-Xue
Hou, Ke-Xin
Lv, Xiao-huan
Wang, Rui-Ning
Shi, Xing-Qiang
Wang, Jiang-Long
Materials Science
It is usually supposed that only low-symmetry two-dimensional (2D) materials exhibit anisotropy, here we show that high-symmetry 2D semiconductors can show significant anisotropy in momentum space due to the band structure anisotropy in k-space. The basic reason is that different k-points in the Brillouin zone have different symmetry. Using 2D semiconductor WSe$_2$ as the example, we construct lateral heterostructures with zigzag and armchair connections to 2D metal NbSe$_2$, and the electronic structure and contact characteristics of these two connections are analyzed. It is found that both connections exhibit p-type Schottky barrier height (SBH) but the sizes of SBH are very different (of 0.03 eV and 0.50 eV), mainly because the band-edge energies of WSe$_2$ are different along the two mutually perpendicular directions in momentum space. There are two factors contributing to the SBH anisotropy: one is the different interface structure and the other is the band edge anisotropy of the 2D semiconductor WSe$_2$. Since the two interface structures give only a difference in interface potential change by less than 0.1 eV, the SBH variation of ~0.47 eV is mainly from the band structure anisotropy in momentum-space. So, high-symmetry 2D materials may exhibit highly anisotropic electronic states in momentum space and this affects the transport properties. Our current work extends the research field of 2D material anisotropy to 2D materials with high real-space symmetry, thus greatly expands the candidate materials for anisotropic studies and provides new guidance for optimizing the performance of 2D material devices via controlling transport directions.
title Anisotropic Schottky-barrier-height in high-symmetry 2D WSe$_2$: Momentum-space anisotropy
topic Materials Science
url https://arxiv.org/abs/2502.11005