Topological Route to New and Unusual Coulomb Spin Liquids

Abstract

Coulomb spin liquids are topological magnetic states obeying an emergent Gauss' law. Little distinction has been made between different kinds of Coulomb liquids. Here we show how a series of distinct Coulomb liquids can be generated straightforwardly by varying the constraints on a classical spin system. This leads to pair creation, and coalescence, of topological defects of an underlying vector field. The latter makes higher-rank spin liquids, of recent interest in the context of fracton theories, with attendant multi-fold pinch points in the structure factor, appear naturally. New Coulomb liquids with an abundance of pinch points also arise. We thus establish a new and general route to uncovering exotic Coulomb liquids, via the manipulation of topological defects in momentum space.

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• Anomalous suppression of large-scale density fluctuations in classical and quantum spin liquids
• A Classical Chiral Spin-Liquid from Chiral Interactions on the Pyrochlore Lattice
• Fragmented spin ice and multi-$k$ ordering in rare-earth antiperovskites
• Anyon condensation web and multipartite entanglement in 2D modulated gauge theories
• Spectroscopic fingerprints of gapless type-II fracton phases
• Bilinear Majorana representations for spin operators with spin magnitudes $S>1/2$
• Classification of Classical Spin Liquids: Topological Quantum Chemistry and Crystalline Symmetry
• The Classical Heisenberg Model on the Centred Pyrochlore Lattice
• Fragile spin liquid in three dimensions
• Irrational moments and signatures of higher-rank gauge theories in diluted classical spin liquids
• The spin-orbital Kitaev model: from kagome spin ice to classical fractons
• Pinch-point spectral singularity from the interference of topological loop states
• Symmetry, Superposition and Fragmentation in Classical Spin Liquids: A General Framework and Applications to Square Kagome Magnets
• Classical fracton spin liquid and Hilbert space fragmentation in a 2D spin-$1/2$ model
• Square ice Coulomb phase as a percolated vertex lattice
• Pinch-line spin liquids as layered Coulomb phases and applications to cubic models
• Fully-frustrated octahedral antiferromagnets: emergent complexity in external field
• Spinor ice correlation in flat-band electronic states on kagome and pyrochlore lattices with spin-orbit coupling
• Fractional Wannier Orbitals and Tight-Binding Gauge Fields for Kitaev Honeycomb Superlattices with Flat Majorana Bands
• Decorated cluster lattices: a natural framework for classical spin liquids and flat bands
• Mapping the Phase Diagram of a Frustrated Magnet: Degeneracies, Flat Bands, and Canting Cycles on the Pyrochlore Lattice