Real-space topological invariant for time-quasiperiodic Majoranas
arxiv(2024)
摘要
When subjected to quasiperiodic driving protocols, superconducting systems
have been found to harbor robust time-quasiperiodic Majorana modes, extending
the concept beyond static and Floquet systems. However, the presence of
incommensurate driving frequencies results in dense energy spectra, rendering
conventional methods of defining topological invariants based on band structure
inadequate. In this work, we introduce a real-space topological invariant
capable of identifying time-quasiperiodic Majoranas by leveraging the system's
spectral localizer, which integrates information from both Hamiltonian and
position operators. Drawing insights from non-Hermitian physics, we establish
criteria for constructing the localizer and elucidate the robustness of this
invariant in the presence of dense spectra. Our numerical simulations, focusing
on a Kitaev chain driven by two incommensurate frequencies, validate the
efficacy of our approach.
更多查看译文
AI 理解论文
溯源树
样例
生成溯源树,研究论文发展脉络
Chat Paper
正在生成论文摘要