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Barriers to Macroscopic Superfluidity and Insulation in a 2D Aubry-André Model
Dean Johnstone, Patrik Öhberg, Callum W. Duncan
We study the ground state phases of interacting bosons in the presence of a 2D Aubry-André potential. By using a a mean-field percolation analysis, we focus on several superlattice…
Bulk Localised Transport States in Infinite and Finite Quasicrystals via Magnetic Aperiodicity
Dean Johnstone, Matthew J. Colbrook, Anne E. B. Nielsen +2
Robust edge transport can occur when particles in crystalline lattices interact with an external magnetic field. This system is well described by Bloch's theorem, with the spectrum…
The Mean-Field Bose Glass in Quasicrystalline Systems
Dean Johnstone, Patrik Öhberg, Callum W. Duncan
We confirm the presence of a mean-field Bose glass in 2D quasicrystalline Bose-Hubbard models. We focus on two models where the aperiodic component is present in different parts of…
Low-energy behaviour of strongly-interacting bosons on a flat-banded lattice above the critical filling factor
Lawrence G. Phillips, Gabriele De Chiara, Patrik Öhberg +1
Bosons interacting repulsively on a lattice with a flat lowest band energy dispersion may, at sufficiently small filling factors, enter into a Wigner-crystal-like phase. This phase…