论文标题
dirac landau水平无序的频谱崩溃作为拓扑非热物理
Spectrum collapse of disordered Dirac Landau levels as topological non-Hermitian physics
论文作者
论文摘要
我们通过使用非甲状化的准二粒汉密尔顿形式主义研究了狄拉克电子系统中兰道水平的障碍影响。这种形式主义揭示了自旋依赖性的散射速率会导致兰道水平的频谱崩溃，即，在有限的外部磁场下n-th和-n-the水平之间的能量差距消失。频谱崩溃发生在弱磁场和强磁场状态下，从而显示出恢复行为。特别是，在强磁场状态下，与天真的预期相反，磁场的增加稳定了狄拉克·兰道水平的光谱崩溃。此外，据揭示了频谱崩溃与涡流纹理的出现有关，具有拓扑绕组的非甲米特系统的复杂能量谱。
We investigate disorder effects on Landau levels in Dirac electron systems with the use of a non-Hermitian quasiparticle Hamiltonian formalism. This formalism reveals that spin-dependent scattering rates induce the spectrum collapse of Landau levels, i.e., the disappearance of the energy gaps between n-th and -n-th levels under a finite external magnetic field. The spectrum collapse occurs in both weak and strong magnetic field regimes, thus showing a reentrant behavior. Particularly, in the strong magnetic field regime, in contrast to naive expectation, the increase of a magnetic field stabilizes the spectrum collapse of Dirac Landau levels. Furthermore, it is revealed that the spectrum collapse is associated with the emergence of a vortex texture with a topological winding number of a complex energy spectrum of the non-Hermitian system.
