螺旋调制势场中的碳纳米管
Carbon Nanotubes in Helically Modulated Potentials
摘要：
在连续介质近似下，计算了螺旋对称势对碳纳米管低能电子能谱的影响。光谱取决于该势的强度和无量纲几何参数P，P是纳米管的周长与螺旋的节距的比率。我们发现，半导体纳米管的最小带隙减少了任意弱的螺旋势，并为一个给定的场强有一个最佳的P产生的带隙的最大变化。对于金属纳米管的费米速度减少了这个潜在的和强场的两个小的差距出现在费米表面除了无隙狄拉克点。开发了一个简单的模型来估计在水溶液中的磁场强度的大小及其对DNA-CNT复合物的影响。我们发现，在典型的实验条件下，螺旋势的预测效果很可能是小的，我们讨论了几种方法来增加这些效果的大小。
英文摘要：
We calculate effects of an applied helically symmetric potential on the low energy electronic spectrum of a carbon nanotube in the continuum approximation. The spectrum depends on the strength of this potential and on a dimensionless geometrical parameter, P, which is the ratio of the circumference of the nanotube to the pitch of the helix. We find that the minimum band gap of a semiconducting nanotube is reduced by an arbitrarily weak helical potential, and for a given field strength there is an optimal P which produces the biggest change in the band gap. For metallic nanotubes the Fermi velocity is reduced by this potential and for strong fields two small gaps appear at the Fermi surface in addition to the gapless Dirac point. A simple model is developed to estimate the magnitude of the field strength and its effect on DNA-CNT complexes in an aqueous solution. We find that under typical experimental conditions the predicted effects of a helical potential are likely to be small and we discuss several methods for increasing the size of these effects.
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