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Nanostructured Carbon Allotropes with Weyl-like Loops and Points

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† School of Physics and Optoelectronics, Xiangtan University, Xiangtan, Hunan 411105, China
‡ Department of Physics, Applied Physics, and Astronomy, Rensselaer Polytechnic Institute, Troy, New York 12180, United States
§ Research Laboratory for Quantum Materials and EPD Pillar, Singapore University of Technology and Design, Singapore 487372, Singapore
⊥ Department of Physics, Beihang University, Beijing 100191, China
∥ Department of Physics, University of Texas at Dallas, Richardson, Texas 75080, United States
Department of Physics, University of California at Berkeley, and Materials Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720, United States
*E-mail: [email protected]
*E-mail: [email protected]
*E-mail: [email protected]
*E-mail: [email protected]
Cite this: Nano Lett. 2015, 15, 10, 6974–6978
Publication Date (Web):October 1, 2015
https://doi.org/10.1021/acs.nanolett.5b02978
Copyright © 2015 American Chemical Society
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Abstract

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Carbon allotropes are subject of intense investigations for their superb structural, electronic, and chemical properties, but not for topological band properties because of the lack of strong spin–orbit coupling (SOC). Here, we show that conjugated p-orbital interactions, common to most carbon allotropes, can in principle produce a new type of topological band structure, forming the so-called Weyl-like semimetal in the absence of SOC. Taking a structurally stable interpenetrated graphene network (IGN) as example, we show, by first-principles calculations and tight-binding modeling, that its Fermi surface is made of two symmetry-protected Weyl-like loops with linear dispersion along perpendicular directions. These loops are reduced to Weyl-like points upon breaking of the inversion symmetry. Because of the topological properties of these band-structure anomalies, remarkably, at a surface terminated by vacuum there emerges a flat band in the loop case and two Fermi arcs in the point case. These topological carbon materials may also find applications in the fields of catalysts.

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