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Dynamics and stability of U(1) spin liquids beyond mean-field theory: Triangular-lattice $J_1$-$J_2$ Heisenberg model

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arxiv 2503.13831 v2 pith:YYINFTL6 submitted 2025-03-18 cond-mat.str-el

Josef Willsher , Johannes Knolle This is my paper · ORCID
classification cond-mat.str-el
keywords spinbeyonddynamicalliquidsmean-fieldmodelnumericalphase
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abstract

Quantum spin liquids (QSLs) are long-range entangled phases of frustrated magnets exhibiting fractionalized spin excitations. In two dimensions, there is limited analytical understanding of their excitation spectra beyond parton mean-field theories, which fail to capture many features of the finite frequency dynamical response from recent experimental and numerical works. We use a self-consistent random phase approximation (RPA) for the $J_1$-$J_2$ Heiseneberg model on the triangular lattice to describe the strong spinon-spinon interactions of the U(1) Dirac QSL. We obtain quantitative results for the dynamical spin structure factor and phase diagram compatible with comprehensive numerical efforts. We extend the method to chiral QSLs, and discuss its broad range of applicability to other models and for describing inelastic neutron scattering experiments.

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Cited by 5 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Emergence of a monopole phase in the $J_1{-}J_2$ Heisenberg model on the triangular lattice for small magnetic fields

    cond-mat.str-el 2026-07 conditional novelty 6.0 of 10

    For J2/J1 approximately 1/8 and small fields, the triangular-lattice J1-J2 Heisenberg ground state is a gapless monopole condensate with scalar chirality and no transverse magnetic order, not semiclassical Y or canted...

  2. Impurity quadrupole moments as local probes of flux sectors in the Kitaev spin liquid

    cond-mat.str-el 2026-03 unverdicted novelty 6.0 of 10

    Spin-3/2 impurity quadrupole moments in a Kitaev spin liquid jump discontinuously at flux-sector transitions and can therefore identify the surrounding emergent-flux sector.

  3. Dynamical spin correlations in kagome antiferromagnets: comparison of Abrikosov fermion and Schwinger boson approaches beyond mean field

    cond-mat.str-el 2026-03 conditional novelty 6.0 of 10

    Schwinger-boson mean-field theory plus RPA yields a concave-down low-energy dynamical structure factor that closes the spin gap and matches herbertsmithite better than dome-shaped Abrikosov-fermion continua.

  4. An integrated theoretical and numerical approach to understand modern experiments on quantum magnetism

    cond-mat.str-el 2026-04 unverdicted novelty 3.0 of 10

    Integrated theory-numerics-experiment collaboration has already clarified key quantum-magnet models and materials, and is required to resolve remaining spin-liquid candidates.

  5. Lectures on insulating and conducting quantum spin liquids

    cond-mat.str-el 2025-12 unverdicted novelty 3.0 of 10

    The notes argue that the FL* state — small pockets plus a quantized spin-liquid anomaly — resolves the ADMR pocket and v_F >> v_Delta problems that defeated holon-metal and plain fermionic-parton theories of the cuprates.

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