论文标题
准膜链中相关的两粒子结合状态的多纹理性
Multifractality of correlated two-particle bound states in quasiperiodic chains
论文作者
论文摘要
我们考虑使用局部单粒子状态的绝缘状态中的Quasiperiodic Aubry-André链。添加局部相互作用会导致扩展相关的两粒子结合状态的出现。我们分析了这些状态的性质，包括它们的多纹状体特性。我们使用预计的绿色功能方法来计算数值参与本征态的数量，并分析其对能量和系统大小的依赖性。然后，我们执行缩放分析。我们观察到相关的扩展两粒子结合状态的多纹理，我们通过精确的对角度独立确认。
We consider the quasiperiodic Aubry-André chain in the insulating regime with localised single-particle states. Adding local interaction leads to the emergence of extended correlated two-particle bound states. We analyse the nature of these states including their multifractality properties. We use a projected Green function method to compute numerically participation numbers of eigenstates and analyse their dependence on the energy and the system size. We then perform a scaling analysis. We observe multifractality of correlated extended two-particle bound states, which we confirm independently through exact diagonalisation.
