论文标题
在Haldane球上对多层石墨烯的Landau量化
Landau quantization of multilayer graphene on a Haldane sphere
论文作者
论文摘要
我们考虑了在Haldane球体上多层石墨烯的问题，并确定了该系统家族的Landau水平谱。这是对普通非偏见的霍尔丹球形和球形石墨烯的兰道量化问题的概括，或者在球体上类似狄拉克的颗粒。哈密顿人以简洁的代数方式对角进行对角线，利用了两个相互通勤的SU（2）代数。另外，使用精确的波函数，我们证明了在第二个Landau级别中Haldane伪电势的计算。这些精确的解决方案增加了有关石墨多层系统中分数量子霍尔效应的数值研究的当前工具包。
We consider the problem of multilayer graphene on a Haldane sphere and determine the Landau level spectrum for this family of systems. This serves as a generalization of the Landau quantization problem of ordinary non-relativistic Haldane sphere and spherical graphene, or Dirac-like particles on a sphere. The Hamiltonian is diagonalized in a concise algebraic fashion exploiting two mutually commuting SU(2) algebras of the problem. Additionally, using exact wave functions we demonstrate computation of Haldane pseudopotentials in the second Landau level. These exact solutions add to the current toolkits of the numerical studies on fractional quantum Hall effects in systems of graphite multilayers.
