准周期性驱动的实复跃迁：一个超越$\mathcal{PT}$对称普适类的新普适类
Real-complex transition driven by quasiperiodicity: a new universality class beyond $\mathcal{PT}$ symmetric one
摘要：
研究了一维晶格模型中的非厄米准周期势。首先，我们严格证明了$|a|<1$和$|a|>1$之间关于势调谐参数$a$存在一个有趣的对偶映射关系。$|a|<1$的局域化性质可以直接映射到$|a|>1$的局域化性质，因此由$|a|<1$的谱性质得到了$|a|>1$迁移率边的解析表达式.更令人印象深刻的是，我们严格地证明了即使相位$θ\neq 0$处于准周期势，模型也成为非$\mathcal{PT}$对称的，但是仍然存在一种由非厄米特无序驱动的新的实-复跃迁，这是一种新的普适类，超越了$\mathcal{PT}$对称类.
英文摘要：
We study a one-dimensional lattice model subject to non-Hermitian quasiperiodic potentials. Firstly, we strictly demonstrate that there exists an interesting dual mapping relation between $|a|<1$ and $|a|>1$ with regard to the potential tuning parameter $a$. The localization property of $|a|<1$ can be directly mapping to that of $|a|>1$, the analytical expression of the mobility edge of $|a|>1$ is therefore obtained through spectral properties of $|a|<1$. More impressive, we prove rigorously that even if the phase $θ\neq 0$ in quasiperiodic potentials, the model becomes non-$\mathcal{PT}$ symmetric, however, there still exists a new type of real-complex transition driven by non-Hermitian disorder, which is a new universality class beyond $\mathcal{PT}$ symmetric class.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
