22 citations · 70 across the 7 of their papers we have counts for
7 papers
Localization and spectral structure in two-dimensional quasicrystal potentials
Zhaoxuan Zhu, Shengjie Yu, Dean Johnstone +1
Quasicrystals, a fascinating class of materials with long-range but nonperiodic order, have revolutionized our understanding of solid-state physics due to their unique properties a…
Interacting Bosons on Crystalline and Quasiperiodic Ladders in a Magnetic Field
Dean Johnstone, Patrik Öhberg, Callum W. Duncan
We study a variety of Hofstadter ladders in order to probe the interplay between interactions, an applied magnetic field and crystalline or quasiperiodic geometries. Rotational mot…
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…
Staggered Ground States in an Optical Lattice
Dean Johnstone, Niclas Westerberg, Callum W. Duncan +1
Non-standard Bose-Hubbard models can exhibit rich ground state phase diagrams, even when considering the one-dimensional limit. Using a self-consistent Gutzwiller diagonalisation a…