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arXiv · 2507.07611

Emergent QED$_3$ at the bosonic Laughlin state to superfluid transition

Taige Wang·Xue-Yang Song·Michael P. Zaletel·T. Senthil
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Abstract

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 $\nu = 1/2$ 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.

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Taige Wang, Xue-Yang Song, Michael P. Zaletel, T. Senthil. 2025-07-10. Emergent QED$_3$ at the bosonic Laughlin state to superfluid transition. https://arxiv.org/abs/2507.07611

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