Moebius梯形晶格中无取向诱导的PT相变
Non-orientability induced PT phase transition in Moebius ladder lattices
摘要：
我们研究了梯形晶格的非定向性和非厄米宇称时间（PT）对称性之间的相互作用引起的能谱中的PT相变。能谱表明，由于正常带的定向性，在圆形梯形晶格中的能级交叉随着现场能量增益-损失的增加而增加。然而，由于Moebius带的不可定向性，在PT对称的Moebius梯形晶格中的能级显示PT相变。为了理解PT对称相位的能级交叉，我们使用复旋转角来推广旋转变换。我们还研究了在PT对称梯形晶格中由急剧扭曲的界面引起的共振隧穿的变化。最后，我们发现，由于自正交态的存在，在PT对称系统的例外点处，零能量处的完美传输被恢复。
英文摘要：
We study parity-time (PT) phase transitions in the energy spectra of ladder lattices caused by the interplay between non-orientability and non-Hermitian PT symmetry. The energy spectra show level crossings in circular ladder lattices with increasing on-site energy gain-loss because of the orientability of a normal strip. However, the energy levels show PT phase transitions in PT-symmetric Moebius ladder lattices due to the non-orientability of a Moebius strip. In order to understand the level crossings of PT symmetric phases, we generalize the rotational transformation using a complex rotation angle. We also study the modification of resonant tunneling induced by a sharply twisted interface in PT-symmetric ladder lattices. Finally, we find that the perfect transmissions at the zero energy are recovered at the exceptional points of the PT-symmetric system due to the self-orthogonal states.
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。
