AI 中文总结
本文研究带隙/无带隙赝自旋-1系统中短程圆形势阱杂质诱导的束缚态与共振态，揭示其特殊性质，结合安德森模型得到热力学势等并分析其随温度的变化。
AI 中文摘要
本文分析了带隙和无带隙赝自旋-1系统中，平带和色散带附近由圆形势阱建模的短程杂质诱导的束缚态与共振态。研究发现，源于平带的束缚态和共振态具有赝自旋-1费米子多分量结构带来的特殊性质，这与赝自旋-1/2费米子的性质截然不同。与带隙狄拉克系统相反，且不同于上色散带附近的束缚态，源于平带的束缚态对任意总角动量值都存在，其角动量j较大的束缚态能量随|j|增大而降低，波函数定域在势阱边缘，且定域程度随|j|增大而增强。确定了杂质态在局域态密度中的特征；采用无序势中独立电子的安德森模型，得到了热力学势、熵密度和热容。在源于平带的束缚态占主导的区域，熵密度随温度单调增加并趋于饱和，而热容呈现单个峰值。
英文摘要
Bound states and resonances induced by short-range impurities modeled by circular potential wells are analyzed in the vicinity of flat and dispersive bands in gapped and gapless pseudospin-1 systems. We find that the bound and resonant states derived from the flat band show unusual characteristics originating from the multicomponent structure of pseudospin-1 fermions, which are distinct from those for pseudospin-$\tfrac{1}{2}$ fermions. Contrary to gapped Dirac systems and unlike bound states in the vicinity of the upper dispersive band, the bound states derived from the flat band occur for any value of the total angular momentum. The energies of these bound states with higher angular momentum $j$ tend to decrease with $|j|$. In addition, it is found that their wave functions are localized at the potential well edge and the localization increases with $|j|$. The signatures of the impurity states in the local density of states are determined. Using the Anderson model for independent electrons in the disorder potential, the thermodynamic potential, entropy density, and heat capacity are obtained. In the regime dominated by bound states derived from the flat band, the entropy density monotonically increases with temperature and saturates, whereas the heat capacity exhibits a single maximum.
Comments18 pages, 7 figures
