Exact chiral spin liquid with stable spin Fermi surface on the kagome lattice

2010/10/31 by Victor Chua, Hong Yao, Gregory A. Fiete · 1 citation
Physics and Astronomy · #Advanced Condensed Matter Physics #Condensed matter physics #Fermi Gamma-ray Space Telescope #Fermi liquid theory #Fermi surface #Lattice (music) #Physics #Physics of Superconductivity and Magnetism #Quantum many-body systems #Quantum mechanics #Quantum spin liquid #Spin (aerodynamics) #Spin polarization #Superconductivity #Thermodynamics #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.83.180412

published as Phys. Rev. B83:180412,2011 · 4 pages, 4 figures

openalex publication_date 2011/05/17 · arxiv created 2011/05/20 · arxiv updated 2015/03/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We study an exactly solvable quantum spin model of Kitaev type on the kagome lattice. We find a rich phase diagram which includes a topological (gapped) chiral spin liquid with gapless chiral edge states, and a gapless chiral spin liquid phase with a spin Fermi surface. The ground state of the current model contains an odd number of electrons per unit cell, which qualitatively distinguishes it from previously studied exactly solvable models with a spin Fermi surface. Moreover, we show that the spin Fermi surface is stable against weak perturbations.

Citations

• Anomalous Quantum Hall Effect: An Incompressible Quantum Fluid with Fractionally Charged Excitations
• SU(2)non-Abelian holonomy and dissipationless spin current in semiconductors
• Spin Dynamics of the Spin-1/2Kagome Lattice AntiferromagnetZnCu3(OH)6Cl2
• Equivalence of the resonating-valence-bond and fractional quantum Hall states
• Three-dimensional topological phases in a layered honeycomb spin-orbital model
• Entanglement Entropy and Entanglement Spectrum of the Kitaev Model
• Anyons in an exactly solved model and beyond

Cited by

• Power-Law Behavior of Bond Energy Correlators in a Kitaev-type Model with a Stable Parton Fermi Surface

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• An exact spin liquid state on the kagome lattice with topological order
• Nature of the Spin Liquid Ground State of the S=1/2 Kagome Heisenberg Model