Detecting symmetry fractionalization in gapped quantum spin liquids by magnetic impurities
arXiv:2209.09853 · doi:10.1103/PhysRevB.110.L100401
Abstract
We study the Kondo effect of spin-1/2 magnetic impurities in gapped Z2 spin liquids on two-dimensional lattices. We find that if the impurity is placed at a high-symmetry location, a nontrivial spinon fractionalization class of the impurity site symmetry group will necessarily lead to a non-Kramers doublet in the Kondo screening regime, protected by associated crystalline symmetries. This is in sharp contrast to a featureless screening phase in the usual Kondo effect. We demonstrate this symmetry-protected topological degeneracy by an exactly solvable model and by the large-N theory. Based on this effect, we discuss how thermodynamic measurements in the limit of dilute magnetic impurities can be used to detect symmetry fractionalization in gapped Z2 spin liquids.
References in corpus (46)
- Fault-tolerant quantum computation by anyons
- Non-Abelian Anyons and Topological Quantum Computation
- Anyons in an exactly solved model and beyond
- Topological entanglement entropy
- Detecting topological order in a ground state wave function
- Quantum Spin Liquids
- Quantum Spin Liquid States
- Quantum Orders and Symmetric Spin Liquids
- Kitaev quantum spin liquid - concept and materialization
- Herbertsmithite and the Search for the Quantum Spin Liquid
- Symmetry Fractionalization, Defects, and Gauging of Topological Phases
- Evidence for a Gapped Spin-Liquid Ground State in a Kagome Heisenberg Antiferromagnet
- Quasi-particle Statistics and Braiding from Ground State Entanglement
- Spin Liquid States on the Triangular and Kagome Lattices: A Projective Symmetry Group Analysis of Schwinger Boson States
- Classifying fractionalization: symmetry classification of gapped Z2 spin liquids in two dimensions
- Seeing the light : experimental signatures of emergent electromagnetism in a quantum spin ice
- Experimental identification of quantum spin liquids
- Correlated impurities and intrinsic spin liquid physics in the kagome material Herbertsmithite
- Z2 spin liquid in S=1/2 Heisenberg model on Kagome lattice: A projective symmetry group study of Schwinger-fermion mean-field states
- Symmetry fractionalization and twist defects
- The Ground State Structure and Modular Transformations of Fractional Quantum Hall States on a Torus
- Fractional charge and fractional statistics in the quantum Hall effects
- Theory of two-dimensional nonlinear spectroscopy for the Kitaev spin liquid
- Constraints on topological order in Mott Insulators
- Theory of quantum impurities in spin liquids
- Statistics of fractionalized excitations through threshold spectroscopy
- Symmetry Fractionalization in Two Dimensional Topological Phases
- Symmetric spin liquids and their neighboring phases on triangular lattice
- Evidence for a spinon Kondo effect in cobalt atoms on single-layer 1T-TaSe
- Magnetic impurities in the honeycomb Kitaev model
- Spectroscopic fingerprints of gapped quantum spin liquids, both conventional and fractonic
- Spectroscopic signatures of crystal momentum fractionalization
- Detecting crystal symmetry fractionalization from the ground state: Application to spin liquids on the kagome lattice
- Kondo impurities in the Kitaev spin liquid: Numerical renormalization group solution and gauge-flux-driven screening
- Kondo Effect in Fermi Systems with a Gap: A Renormalization Group Study
- Kondo screening in a charge-insulating spinon metal
- Schwinger boson spin liquid states on square lattice
- Unification of bosonic and fermionic theories of spin liquids on the kagome lattice
- Magnetic impurity in a -Spin Liquid with a Spinon Fermi-Surface
- Magnetic Impurity as a Local Probe of the U(1) Quantum Spin Liquid with Spinon Fermi Surface
- Classification of symmetry fractionalization in gapped spin liquids
- A Kondo route to spin inhomogeneities in the honeycomb Kitaev model
- Signatures of fractional statistics in nonlinear pump-probe spectroscopy
- Quantum magnets with weakly confined spinons: Multiple length scales and quantum impurities
- Symmetry protected gapless spin liquids
- Dynamical coupling of dilute magnetic impurities with quantum spin liquid state in the S = 3/2 dimer compound Ba3ZnRu2O9