Engineering topological phase transition and Aharonov-Bohm caging in a flux-staggered lattice

摘要: A tight binding network of diamond shaped unit cells trapping a staggered magnetic flux distribution is shown to exhibit topological phase transition under controlled variation the trapped in cell. simple real space decimation technique maps binary into an equivalent Su-Shrieffer-Heeger (SSH) model. In this way, dealing with subspace full degrees freedom, we show that can be initiated by tuning applied field eventually simulates engineering numerical values overlap integrals paradigmatic SSH Thus one use external agent, rather than monitoring intrinsic property lattice control properties. This advantageous from experimental point view. We also provide in-depth description and analysis topologically protected edge states, discuss how, outside enhance spatial extent Aharonov-Bohm caging single particle states for any arbitrary period staggering. feature useful study transport quantum information. Our results are exact.