The two classes of low-energy spectra in finite carbon nanotubes

Magdalena Marganska; Piotr Chudzinski; Milena Grifoni

doi:10.1103/PhysRevB.92.075433

The two classes of low-energy spectra in finite carbon nanotubes

Magdalena Marganska^*, Piotr Chudzinski, Milena Grifoni

^*Corresponding author for this work

University of Regensburg

Research output: Contribution to journal › Article › Academic › peer-review

Abstract

We study the spectra of finite-length carbon nanotubes (CNTs) of arbitrary chirality. They divide into two classes, which arise because of different rotational symmetries of the low-energy eigenstates. In one of them (the zigzag class), the spinless spectrum is doubly degenerate and the two states can be assigned to different values of the valley degree of freedom. In the other (armchair class), the valley degeneracy is removed and the eigenstates are combinations of both valley states. Recent experimental observation of the valley mixing in ultraclean CNT quantum dots is consistent with our theory for armchair-class CNTs.

Original language	English
Article number	075433
Number of pages	9
Journal	Physical review. B, Condensed matter and materials physics
Volume	92
Issue number	7
DOIs	https://doi.org/10.1103/PhysRevB.92.075433
Publication status	Published - 21 Aug 2015

Funding

We gratefully acknowledge the discussions with Stephan Lochner, Andreas K. Huttel, and Christoph Strunk. We also thank the DFG for the financial support under Grants No. GRK 1570 and No. SFB 689.

Keywords

SPIN
SYMMETRY
ELECTRONS

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AB - We study the spectra of finite-length carbon nanotubes (CNTs) of arbitrary chirality. They divide into two classes, which arise because of different rotational symmetries of the low-energy eigenstates. In one of them (the zigzag class), the spinless spectrum is doubly degenerate and the two states can be assigned to different values of the valley degree of freedom. In the other (armchair class), the valley degeneracy is removed and the eigenstates are combinations of both valley states. Recent experimental observation of the valley mixing in ultraclean CNT quantum dots is consistent with our theory for armchair-class CNTs.

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KW - ELECTRONS

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The two classes of low-energy spectra in finite carbon nanotubes

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