Emergence of Chiral Spin Liquids via Quantum Melting of Non-Coplanar Magnetic Orders

Abstract

Quantum spin liquids (QSLs) are long-range entangled states of quantum magnets which lie beyond the Landau paradigm of classifying phases of matter via broken symmetries. A physical route to arriving at QSLs is via frustration-induced quantum melting of ordered states such as valence bond crystals or magnetic orders. Here, we show, using extensive exact diagonalization (ED) and density-matrix renormalization group (DMRG) studies of concrete $SU(2)$ invariant spin models on honeycomb, triangular and square lattices, that chiral spin liquids (CSLs) emerge as descendants of triple-$Q$ spin crystals with tetrahedral magnetic order and a large scalar spin chirality. Such ordered-to-CSL melting transitions may yield lattice realizations of effective Chern-Simons-Higgs field theories. Our work provides a distinct unifying perspective on the emergence of CSLs, and suggests that materials with magnetic skyrmion crystal order might provide a good starting point to search for CSLs.

7 pages, 8 figures

References in corpus (11)

• Non-Abelian Anyons and Topological Quantum Computation
• Scalar spin chirality and quantum Hall effect on a triangular lattice
• Characterizing topological order by studying the ground states of an infinite cylinder
• Applying matrix product operators to model systems with long-range interactions
• Global Phase Diagram of Competing Ordered and Quantum Spin Liquid Phases on the Kagomé Lattice
• Spin Hamiltonian for which the Chiral Spin Liquid is the Exact Ground State
• Non-Abelian Statistics in a Quantum Antiferromagnet
• Variational Monte Carlo study of chiral spin liquid in the extended Heisenberg model on the Kagome lattice
• Chiral topological spin liquids with projected entangled pair states
• Chern-Simons theory of the magnetization plateaus of the spin-1/2 quantum XXZ Heisenberg model on Kagome Lattice
• Chiral spin density wave, spin-charge-Chern liquid and d+id superconductivity in 1/4-doped correlated electronic systems on the honeycomb lattice

Cited by in corpus (29)

• Geometry of quantum phase transitions
• Mott insulating states with competing orders in the triangular lattice Hubbard model
• Four-Spin Terms and the Origin of the Chiral Spin Liquid in Mott Insulators on the Triangular Lattice
• SU(4) chiral spin liquid, exciton supersolid and electric detection in moiré bilayers
• Symmetry fractionalization in the gauge mean-field theory of quantum spin ice
• Non-Coplanar Magnetic Orders in Classical Square-Kagome Antiferromagnets
• Noncoplanar magnetic orders and gapless chiral spin liquid on the kagome lattice with staggered scalar spin chirality
• Coexistence of non-Abelian chiral spin liquid and magnetic order in a spin-1 antiferromagnet
• Quantum phase diagram and chiral spin liquid in the extended spin-$\frac{1}{2}$ honeycomb XY model
• Deconfined criticalities and dualities between chiral spin liquid, topological superconductor and charge density wave Chern insulator
• Order by disorder in classical kagome antiferromagnets with chiral interactions
• Noncoplanar orders and quantum disordered states in maple-leaf (anti)ferromagnets
• Chiral spin liquid and quantum phase diagram of spin-$1/2$ $J_1$-$J_2$-$J_{\chi }$ model on the square lattice
• Magnetic excitations, phase diagram and order-by-disorder in the extended triangular-lattice Hubbard model
• On the origin of the possible chiral spin liquid state of the triangular lattice Hubbard model
• Chiral Broken Symmetry Descendants of the Kagomé Lattice Chiral Spin Liquid
• Spontaneous Chiral-Spin Ordering in Spin-Orbit Coupled Honeycomb Magnets
• Fractionalized Altermagnets: from neighboring and altermagnetic spin-liquids to spin-symmetric band splitting
• Mechanisms for Magnetic Skyrmion Catalysis and Topological Superconductivity
• Anomalous valley Hall effect in monolayer chromium-based triple-Q magnets
• Electric field control of a quantum spin liquid in weak Mott insulators
• Simulating chiral spin liquids with projected entangled-pair states
• Global quantum phase diagram and non-Abelian chiral spin liquid in a spin-3/2 square lattice antiferromagnet
• Magnetic field induced partially polarized chiral spin liquid in a transition metal dichalcogenide moiré system
• Kitaev Meets Affleck-Kennedy-Lieb-Tasaki: Competing Quantum Disorder in Spin-3/2 Honeycomb Systems
• Chiral Edge States Emerging on Anyon-Net
• The magnetization process of classical Heisenberg magnets with non-coplanar cuboc ground states
• Classification and correlation signatures of chiral spin liquids on the pyrochlore lattice
• New mechanisms to engineer magnetic skyrmions and topological superconductors