锯齿形单壁碳纳米管中相互作用诱导的二聚化
Interaction induced dimerization in zigzag single wall carbon nanotubes
摘要：
我们推导了金属锯齿形碳纳米管在半填充状态下的低能有效模型。我们发现，有三个重要的特点，这些系统的低能量特性：长程库仑相互作用，umklapp散射和明确的二聚相互作用所产生的。二聚诱导能隙和由umklapp相互作用诱导的Mott能隙的比值依赖于纳米管的半径，并能驱动系统通过具有SU（2）_1量子对称性的量子相变。我们认为这一过渡的任何一方，这应该是现实的纳米管相关的相的物理性质。
英文摘要：
We derive a low-energy effective model of metallic zigzag carbon nanotubes at half filling. We show that there are three important features characterizing the low-energy properties of these systems: the long-range Coulomb interaction, umklapp scattering and an explicit dimerization generated by interactions. The ratio of the dimerization induced gap and the Mott gap induced by the umklapp interactions is dependent on the radius of the nanotube and can drive the system through a quantum phase transition with SU(2)_1 quantum symmetry. We consider the physical properties of the phases on either side of this transition which should be relevant for realistic nanotubes.
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