Noncoplanar magnetic orders and gapless chiral spin liquid on the kagome lattice with staggered scalar spin chirality

Abstract

Chiral three-spin interactions can suppress long-range magnetic order and stabilize quantum spin liquid states in frustrated lattices. We study a spin-1/2 model on the kagome lattice involving a staggered three-spin interaction $J_{\chi }$ in addition to Heisenberg exchange couplings $J_1$ on nearest-neighbor bonds and $J_d$ across the diagonals of the hexagons. We explore the phase diagram using a combination of a classical approach, parton mean-field theory, and variational Monte Carlo methods. We obtain a variety of noncoplanar magnetic orders, including a phase that interpolates between cuboc-1 and cuboc-2 states. In the regime of dominant $J_{\chi }$, we find a classically disordered region and argue that it may harbor a gapless chiral spin liquid with a spinon Fermi surface. Our results show that the competition between the staggered three-spin interaction and Heisenberg exchange interactions gives rise to unusual ground states of spin systems.

Final version submitted to SciPost. New appendix about the nature of the classical ground state degeneracy

References in corpus (10)

• Projected wavefunction study of Spin-1/2 Heisenberg model on the Kagome lattice
• Properties of an algebraic spin liquid on the kagome lattice
• Unusual ordered phases of highly frustrated magnets: a review
• Twelve sublattice ordered phase in the J1-J2 model on the kagome lattice
• Variational Monte Carlo study of chiral spin liquid in the extended Heisenberg model on the Kagome lattice
• Spin dynamics and disorder effects in the S=1/2 kagome Heisenberg spin liquid phase of kapellasite
• Emergence of Chiral Spin Liquids via Quantum Melting of Non-Coplanar Magnetic Orders
• Gutzwiller-projected states for the $J_1$-$J_2$ Heisenberg model on the kagome lattice: achievements and pitfalls
• Gapless chiral spin liquid from coupled chains on the kagome lattice
• Regular magnetic orders in triangular and kagome lattices

Cited by in corpus (8)

• Electromagnetic signatures of chiral quantum spin liquid
• Noncoplanar orders and quantum disordered states in maple-leaf (anti)ferromagnets
• Chiral Broken Symmetry Descendants of the Kagomé Lattice Chiral Spin Liquid
• Network construction of non-Abelian chiral spin liquids
• Partial magnetic order in kagome spin ice
• Majorana Fermi surface state in a network of quantum spin chains
• Kitaev Meets Affleck-Kennedy-Lieb-Tasaki: Competing Quantum Disorder in Spin-3/2 Honeycomb Systems
• The magnetization process of classical Heisenberg magnets with non-coplanar cuboc ground states