Phase transition of a non-Abelian quasiperiodic mosaic lattice model with <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>p</mml:mi></mml:math>-wave superfluidity
Jincui Zhao, Yujia Zhao, Ji-Guo Wang, Yueqing Li, Xiaodong Bai
Abstract
It is now widely believed that $p$-wave superfluidity is the key to generate a novel critical phase in the non-Abelian Aubry-Andr\'e-Harper model. However, we here establish that this belief is incorrect. In this work, we systemically investigate the phase transition of a non-Abelian quasiperiodic mosaic lattice model with $p$-wave superfluidity. The results show that the critical phase exists only in the quasiperiodic model, whereas in the mosaic model, despite the presence of $p$-wave superfluidity, the critical phase is absent, and mobility edge (ME) phases are generated instead. Furthermore, if the period of the mosaic modulation $\ensuremath{\kappa}\ensuremath{\ge}3$, the results even show that regardless of the strength of the $p$-wave superfluidity, there are only extended and ME phases, but neither critical nor localized phases. This work clearly reveals the phase transition of a non-Abelian quasiperiodic mosaic lattice model with $p$-wave superfluidity, and it may be testified in near-term state-of-the-art experimental settings.