Barriers to Macroscopic Superfluidity and Insulation in a 2D Aubry-André Model
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| Format: | Preprint |
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2022
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| _version_ | 1866916098497052672 |
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| author | Johnstone, Dean Öhberg, Patrik Duncan, Callum W. |
| author_facet | Johnstone, Dean Öhberg, Patrik Duncan, Callum W. |
| contents | 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 and quasicrystalline regimes of the 2D Aubry-André model, including generalisations that account for a tilting or skewing of the potential. We show that barriers to the onset of macroscopic phases naturally arise from weakly modulated domains in the 2D Aubry-André model. This leads to the formation of mixed phases, in which the macroscopic properties are dominated by a minority of the system. The phase diagrams then exhibit substantially different features when compared against crystalline systems, including a lobe-like or wave-like appearance of the Bose glass, sharp extrusions and extended domains with weak percolation. By studying the 2D Aubry-André model across multiple regimes, we have shown that the unique properties of mixed phases are not distinct to a small set of parameters. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2201_11749 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Barriers to Macroscopic Superfluidity and Insulation in a 2D Aubry-André Model Johnstone, Dean Öhberg, Patrik Duncan, Callum W. Strongly Correlated Electrons Disordered Systems and Neural Networks Quantum Gases 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 and quasicrystalline regimes of the 2D Aubry-André model, including generalisations that account for a tilting or skewing of the potential. We show that barriers to the onset of macroscopic phases naturally arise from weakly modulated domains in the 2D Aubry-André model. This leads to the formation of mixed phases, in which the macroscopic properties are dominated by a minority of the system. The phase diagrams then exhibit substantially different features when compared against crystalline systems, including a lobe-like or wave-like appearance of the Bose glass, sharp extrusions and extended domains with weak percolation. By studying the 2D Aubry-André model across multiple regimes, we have shown that the unique properties of mixed phases are not distinct to a small set of parameters. |
| title | Barriers to Macroscopic Superfluidity and Insulation in a 2D Aubry-André Model |
| topic | Strongly Correlated Electrons Disordered Systems and Neural Networks Quantum Gases |
| url | https://arxiv.org/abs/2201.11749 |