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| Format: | Preprint |
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2025
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| Online-Zugang: | https://arxiv.org/abs/2507.07611 |
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| _version_ | 1866918282288693248 |
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| author | Wang, Taige Song, Xue-Yang Zaletel, Michael P. Senthil, T. |
| author_facet | Wang, Taige Song, Xue-Yang Zaletel, Michael P. Senthil, T. |
| contents | Quantum phase transitions between topologically ordered and symmetry-broken phases lie beyond Landau theory. A prime example is the conjectured continuous transition from the bosonic $ν= 1/2$ Laughlin state to a superfluid, proposed to be governed by a QED$_3$--Chern--Simons (CS) critical point whose stability remains uncertain. We study half-filled bosons in the lowest Landau level subject to a lattice potential. Infinite-cylinder DMRG reveals a single continuous Laughlin--to--superfluid transition. Adiabatic flux insertion collapses the many-body gap and exposes massless Dirac quasiparticles, while momentum-resolved correlation lengths show that three lattice-related density modes share the same critical exponent, evidencing an emergent $SO(3)$ symmetry. The joint appearance of Dirac dispersion and symmetry enlargement provides microscopic support for a stable QED$_3$--CS fixed point. Our numerical strategy also offers a blueprint for exploring Landau-forbidden transitions in fractional Chern insulators and composite Fermi liquids realised in moire and cold-atom systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_07611 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Emergent QED$_3$ at the bosonic Laughlin state to superfluid transition Wang, Taige Song, Xue-Yang Zaletel, Michael P. Senthil, T. Strongly Correlated Electrons Quantum phase transitions between topologically ordered and symmetry-broken phases lie beyond Landau theory. A prime example is the conjectured continuous transition from the bosonic $ν= 1/2$ Laughlin state to a superfluid, proposed to be governed by a QED$_3$--Chern--Simons (CS) critical point whose stability remains uncertain. We study half-filled bosons in the lowest Landau level subject to a lattice potential. Infinite-cylinder DMRG reveals a single continuous Laughlin--to--superfluid transition. Adiabatic flux insertion collapses the many-body gap and exposes massless Dirac quasiparticles, while momentum-resolved correlation lengths show that three lattice-related density modes share the same critical exponent, evidencing an emergent $SO(3)$ symmetry. The joint appearance of Dirac dispersion and symmetry enlargement provides microscopic support for a stable QED$_3$--CS fixed point. Our numerical strategy also offers a blueprint for exploring Landau-forbidden transitions in fractional Chern insulators and composite Fermi liquids realised in moire and cold-atom systems. |
| title | Emergent QED$_3$ at the bosonic Laughlin state to superfluid transition |
| topic | Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2507.07611 |