Local integrals of motion in quasiperiodic many-body localized systems

Local integrals of motion play a central role in the understanding many-body localization quantum systems one dimension subject to random external potential, but question how these local change deterministic quasiperiodic potential is that has received significantly less attention. Here we develop powerful new implementation continuous unitary transform formalism and use this method directly compute both effective Hamiltonian for potential. We show interactions between retain strong fingerprint underlying exhibiting sharp features at distances associated with incommensurate wavelength used generate Furthermore, themselves may be expressed terms an operator expansion which allows us estimate critical strength required lead localization/delocalization transition, by means finite size scaling analysis.