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Hubbard Models for Quasicrystalline Potentials
Emmanuel Gottlob, Ulrich Schneider
Quasicrystals are long-range ordered, yet not periodic, and thereby present a fascinating challenge for condensed matter physics, as one cannot resort to the usual toolbox based on…
Anderson and many-body localization in the presence of spatially correlated classical noise
Stefano Marcantoni, Federico Carollo, Filippo M. Gambetta +3
We study the effect of spatially correlated classical noise on both Anderson and many-body localization of a disordered fermionic chain. By analyzing the evolution of the particle…
Mixed spectra and partially extended states in a two-dimensional quasiperiodic model
Attila Szabó, Ulrich Schneider
We introduce a two-dimensional generalisation of the quasiperiodic Aubry-André model. Even though this model exhibits the same duality relation as the one-dimensional version, its…
Non-power-law universality in one-dimensional quasicrystals
Attila Szabó, Ulrich Schneider
We have investigated scaling properties of the Aubry-André model and related one-dimensional quasiperiodic Hamiltonians near their localisation transitions. We find numerically tha…