论文标题
狄拉克系统中的非热杂质
Non-Hermitian impurities in Dirac systems
论文作者
论文摘要
研究了具有复杂杂质电位的狄拉克系统中的准粒子状态。结果表明,具有损失的杂质部位会导致状态局部密度的非平凡分布(LDOS)。尽管缺陷电势的实际部分在状态密度(DOS)中诱导了良好的峰值,但如果在非炎症的情况下,DOS要么在较小的频率下弱增强,要么在零频率下以零频率形成峰值。至于LDO的空间分布,在杂质的附近增强了它,但在电势足够强时显示出在缺陷本身的倾角。二维六边形晶格的结果证明了LDOS的特征性三角形轮廓。在相邻地点放置两个缺陷的情况下,后者获得了双三角模式。可以在光子晶格和某些凝结物质设置中测试非杂质杂质的影响。
Quasiparticle states in Dirac systems with complex impurity potentials are investigated. It is shown that an impurity site with loss leads to a nontrivial distribution of the local density of states (LDOS). While the real part of defect potential induces a well-pronounced peak in the density of states (DOS), the DOS is either weakly enhanced at small frequencies or even forms a peak at the zero frequency for a lattice in the case of non-Hermitian impurity. As for the spatial distribution of the LDOS, it is enhanced in the vicinity of impurity but shows a dip at a defect itself when the potential is sufficiently strong. The results for a two-dimensional hexagonal lattice demonstrate the characteristic trigonal-shaped profile for the LDOS. The latter acquires a double-trigonal pattern in the case of two defects placed at neighboring sites. The effects of non-Hermitian impurities could be tested both in photonic lattices and certain condensed matter setups.