Effective Field Theory of Chiral Spin Liquid between Ordered Phases in Kagomé Antiferromagnet

Abstract

We propose in this work an effective field theory description of the chiral spin liquid state in Heisenberg spin system on kagomé lattice.To this end, we derive the low-energy effective theory of kagomé (isotropic) Heisenberg antiferromagnet around its ordered ground states found numerically and show that quantum fluctuations induced by further neighbor spin exchanges are equally strong as those from first neighbor.We use a chiral order parameter theory to argue for the occurrence of finite temperature chiral symmetry breaking transition into chiral ordered state in kagomé antiferromagnet with further neighbor spin exchange interactions.We compute the chiral symmetry breaking term in the effective ground state energy and show that chiral spin liquid necessarily occurs in the ground state of kagomé antiferromagnet with the first three nearest-neighbor spin exchange interactions.Finally, we consider the quantum criticality of the kagomé antiferromagnet and show that a Chern-Simons term emerges naturally at the transition between two ordered states that satisfy appropriate `matching condition' that we derive, providing explanation for why chiral spin liquid could occur at the transition between appropriate ordered states.This emergent Chern-Simons term is the low energy effective theory of the chiral spin liquid state, where the chirality is the immediate consequence of the breaking of discrete symmetries by this topological field theory.

Published version

References in corpus (12)

• Quantum Spin Liquids
• "Deconfined" quantum critical points
• Quantum criticality beyond the Landau-Ginzburg-Wilson paradigm
• Projected wavefunction study of Spin-1/2 Heisenberg model on the Kagome lattice
• Herbertsmithite and the Search for the Quantum Spin Liquid
• Spin chirality on a two-dimensional frustrated lattice
• Global Phase Diagram of Competing Ordered and Quantum Spin Liquid Phases on the Kagomé Lattice
• Distinct Spin Liquids and their Transitions in Spin-1/2 XXZ Kagome Antiferromagnets
• 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
• Chirality and $Z_2$ vortices in an Heisenberg spin model on the kagomé lattice
• Geometric phases and the magnetization process in quantum antiferromagnets

Cited by in corpus (1)

• Nutation Wave as a Platform for Ultrafast Spin Dynamics in Ferromagnets