论文标题
landau水平和蛇状态的伪造-1狄拉克（Dirac）类似dirac的电子
Landau levels and snake states of pseudo-spin-1 Dirac-like electrons in gapped Lieb lattices
论文作者
论文摘要
这项工作报告了与lieb晶格相关的三频结构，该晶格与任意的最接近和下一个最新的邻居跳跃相互作用。对于特定的配置，系统接收位于两个分散带之间的平坦频段。确定了三个不等的狄拉克山谷，以便通过Spin-1 Dirac-type方程有效地描述了准颗粒。在外部均匀磁场下，可以使用Cardano的公式来解决能量的三阶多项式方程式，确定降水量。还表明，外部反对称场促进了持续携带状态的存在，即所谓的蛇状态，被限制在外部场更改其符号的界面上。
This work reports the three-band structure associated with a Lieb lattice with arbitrary nearest and next-nearest neighbors hopping interactions. For specific configurations, the system admits a flat band located between two dispersion bands. Three inequivalent Dirac valleys are identified so that the quasi-particles are effectively described by the spin-1 Dirac-type equation. Under external homogeneous magnetic fields, the Landau levels are exactly determined as the third-order polynomial equation for the energy can be solved using Cardano's formula. It is also shown that an external anti-symmetric field promotes the existence of current-carrying states, so-called snake states, confined at the interface where the external field changes its sign.
