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arXiv math-ph/0703017math-phmath.MPmath.SP
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磁场中锯齿形纳米管的有效质量

Effective masses for zigzag nanotubes in magnetic fields

Evgeny Korotyaev

摘要:

本文研究了磁场中锯齿形单壁碳纳米管准一维模型的周期势薛定谔算符。这个算子的谱由一个绝对连续的部分(间隔间隔)加上无限多个具有无限重数的本征值组成。我们得到的有效质量和间隙长度的身份和先验估计。

英文摘要:

We consider the Schrödinger operator with a periodic potential on quasi-1D models of zigzag single-wall carbon nanotubes in magnetic field. The spectrum of this operator consists of an absolutely continuous part (intervals separated by gaps) plus an infinite number of eigenvalues with infinite multiplicity. We obtain identities and a priori estimates in terms of effective masses and gap lengths.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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