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Condens. Matter 2019, 4(1), 28; https://doi.org/10.3390/condmat4010028

Electronic Structure of Boron Flat Holeless Sheet

1
Engineering Physics Department, Georgian Technical University, 77 Kostava Ave., Tbilisi 0175, Georgia
2
Boron and Composite Materials Laboratory, Ferdinand Tavadze Institute of Metallurgy and Materials Science, 10 Mindeli Str., Tbilisi 0186, Georgia
3
Boron Metamaterials, Cluster Sciences Research Institute, 39 Topsfield Rd., Ipswich, MA 01938, USA
4
Institute of Applied Physics, Ilia State University, 3/5 Cholokashvili Ave., Tbilisi 0162, Georgia
*
Author to whom correspondence should be addressed.
Received: 30 January 2019 / Revised: 20 February 2019 / Accepted: 26 February 2019 / Published: 3 March 2019
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Abstract

The electronic band structure, namely energy band surfaces and densities-of-states (DoS), of a hypothetical flat and ideally perfect, i.e., without any type of holes, boron sheet with a triangular network is calculated within a quasi-classical approach. It is shown to have metallic properties as is expected for most of the possible structural modifications of boron sheets. The Fermi curve of the boron flat sheet is found to be consisted of 6 parts of 3 closed curves, which can be approximated by ellipses representing the quadric energy-dispersion of the conduction electrons. The effective mass of electrons at the Fermi level in a boron flat sheet is found to be too small compared with the free electron mass m 0 and to be highly anisotropic. Its values distinctly differ in directions Γ–K and Γ–M: m Γ K / m 0 0.480 and m Γ M / m 0 0.052 , respectively. The low effective mass of conduction electrons, m σ / m 0 0.094 , indicates their high mobility and, hence, high conductivity of the boron sheet. The effects of buckling/puckering and the presence of hexagonal or other type of holes expected in real boron sheets can be considered as perturbations of the obtained electronic structure and theoretically taken into account as effects of higher order. View Full-Text
Keywords: boron sheet; electronic structure; density-of-states (DoS); Fermi curve; effective mass boron sheet; electronic structure; density-of-states (DoS); Fermi curve; effective mass
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Chkhartishvili, L.; Murusidze, I.; Becker, R. Electronic Structure of Boron Flat Holeless Sheet. Condens. Matter 2019, 4, 28.

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