Emergent QED₃ at the bosonic Laughlin state to superfluid transition

2025/07/10 by Taige Wang, Wang, Taige, Xue-Yang Song +5 · 5 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Physics of Superconductivity and Magnetism #Strongly Correlated Electrons (cond-mat.str-el) #Topological Materials and Phenomena

paper · pdf · doi:10.48550/arxiv.2507.07611

openalex publication_date 2025/07/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 ν= 1/2 Laughlin state to a superfluid, proposed to be governed by a QED₃--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 QED₃--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.

Citations

• Paired Parton Trial States for the Superfluid-Fractional Chern Insulator Transition
• Vestigial Gapless Boson Density Wave Emerging between ν= 1/2 Fractional Chern Insulator and Finite-Momentum Supersolid
• Deconfined quantum critical points: a review
• Quantum criticality beyond the Landau-Ginzburg-Wilson paradigm
• Deconfined Quantum Critical Points
• Quantum phase transitions

Cited by

• Non-Abelian topological superconductivity from melting Abelian fractional Chern insulators
• Superconductivity Proximate to Non-Abelian Fractional Spin Hall Insulator in Twisted Bilayer MoTe₂
• Emergent gauge flux in mixed QED₃ with flavor chemical potential: application to magnetized U(1) Dirac spin liquids
• Continuous transition from Fermi liquid to A fractional Chern insulator
• Chiral superconductivity near a fractional Chern insulator
• Paired Parton Trial States for the Superfluid-Fractional Chern Insulator Transition

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