金属锯齿形碳纳米管的动力学对称性扩展
Dynamical symmetry enlargement in metallic zigzag carbon nanotubes
摘要：
我们利用单圈重整化群和非微扰玻色子化技术研究了掺杂金属锯齿形碳纳米管中的关联效应。注意，如果纳米管被放置在导电板附近，则长程库仑相互作用被屏蔽，并且所产生的短程相互作用可以分别由现场和最近邻排斥相互作用$U$、$V$和$V_{\perp}$来建模。利用解析和数值方法，我们确定了基态的相图。对于$U/t<0.5$（$t$是跳跃强度），动力学对称性扩大，低能激发用SO（6）Gross-Neveu模型描述.然而，对于实际的材料参数$U/t \sim \mathcal{O}(1)$，电荷扇区是双对称的，但在自旋扇区中仍然存在放大的SO（4）对称性。
英文摘要：
We revisit correlation effects in doped metallic zigzag carbon nanotubes by using both the one-loop renormalization group and non-perturbative bosonization techniques. Note that, if a nanotube is placed near a conducting plate, the long-range Coulomb interactions are screened and the resulting short-range interactions can be modelled by on-site and nearest-neighbor repulsive interactions $U$, $V$ and $V_{\perp}$ respectively. Using both analytic and numeric means, we determine the phase diagram of the ground states. For $U/t<0.5$ ($t$ is the hopping strength), dynamical symmetry enlargement occurs and the low-energy excitations are described by the SO(6) Gross-Neveu model. However, for realistic material parameters $U/t \sim \mathcal{O}(1)$, the charge sector decouples but there remains an enlarged SO(4) symmetry in the spin sector.
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