Symmetry-protected non-Fermi liquids, Kagome spin liquids, and the chiral Kondo lattice model
arXiv:1809.01670 · doi:10.1103/PhysRevB.99.035155
Abstract
The theoretical description of non-Fermi liquids is among the most challenging questions in strongly correlated quantum matter. While there are many experimental candidates for such phases, few examples can be studied using controlled theoretical approaches. Here we introduce a novel conceptual perspective to analytically describe the non-Fermi liquid physics of gapless spin liquids arising in a family of two- and three-dimensional Kagome models. We first discuss a symmetry-protection mechanism that is responsible for the stability of the gapless phase. We then re-cast the two-dimensional Kagome spin model as a chiral Kondo lattice model that can be tackled analytically using what is in a sense a generalization of coupled-wire constructions. We provide extensive numerical evidence for a gapless spin liquid in the two-dimensional Kagome model and discuss generalizations to three dimensions.
arXiv comment12 pages + appendices; revised version accepted for publication in PRB
References in corpus (53)
- Anyons in an exactly solved model and beyond
- Unpaired Majorana fermions in quantum wires
- The density-matrix renormalization group in the age of matrix product states
- The density-matrix renormalization group
- Entanglement Entropy and Quantum Field Theory
- Entanglement in quantum critical phenomena
- Efficient classical simulation of slightly entangled quantum computations
- Quantum Spin Liquids
- Fermi-liquid instabilities at magnetic quantum phase transitions
- Real time evolution using the density matrix renormalization group
- Time-dependent density-matrix renormalization-group using adaptive effective Hilbert spaces
- Thermodynamic limit of the density matrix renormalization for the spin-1 Heisenberg chain
- Topological nodal line semimetals with and without spin-orbital coupling
- Dirac Line Nodes in Inversion Symmetric Crystals
- Lieb-Schultz-Mattis in Higher Dimensions
- The ALPS project release 2.0: Open source software for strongly correlated systems
- Spin-Liquid State in the S = 1/2 Hyperkagome Antiferromagnet Na4Ir3O8
- Interacting anyons in topological quantum liquids: The golden chain
- Studying Two Dimensional Systems With the Density Matrix Renormalization Group
- Topological semi-metals with line nodes and drumhead surface states
- Classification of reflection symmetry protected topological semimetals and nodal superconductors
- Boundary effects in the critical scaling of entanglement entropy in 1D systems
- The Fractional Quantum Hall effect in an array of quantum wires
- Chiral spin liquid and emergent anyons in a Kagome lattice Mott insulator
- From Luttinger liquid to non-Abelian quantum Hall states
- Line-Node Dirac Semimetal and Topological Insulating Phase in Noncentrosymmetric Pnictides CaAgX (X = P, As)
- Topological Classification and Stability of Fermi Surfaces
- Lattice symmetries and regular states in classical frustrated antiferromagnets
- Classification of gapless Z2 spin liquids in three-dimensional Kitaev models
- Two dimensional anisotropic non Fermi-liquid phase of coupled Luttinger liquids
- Sliding Luttinger liquid phases
- Spin Bose-Metal phase in a spin-1/2 model with ring exchange on a two-leg triangular strip
- Quantum spin liquid with a Majorana Fermi surface on the three-dimensional hyperoctagon lattice
- Topological semimetals protected by off-centered symmetries in nonsymmorphic crystals
- D-wave correlated Critical Bose Liquids in two dimensions
- Random-bond Ising model in two dimensions, the Nishimori line, and supersymmetry
- Projective symmetry group classification of chiral spin liquids
- Matrix Product State applications for the ALPS project
- Coupled wire construction of chiral spin liquids
- Majorana Fermions, Exact Mapping between Quantum Impurity Fixed Points with four bulk Fermion species, and Solution of the ``Unitarity Puzzle''
- Gapless chiral spin liquid in a kagome Heisenberg model
- Chiral Spin Liquids in Arrays of Spin Chains
- Spin Bose-Metal and Valence Bond Solid phases in a spin-1/2 model with ring exchanges on a four-leg triangular ladder
- Compression of Correlation Matrices and an Efficient Method for Forming Matrix Product States of Fermionic Gaussian States
- Non-Fermi-liquid d-wave metal phase of strongly interacting electrons
- SU(2)-invariant spin liquids on the triangular lattice with spinful Majorana excitations
- A Crossed Sliding Luttinger Liquid Phase
- Strong-Coupling Phases of Frustrated Bosons on a 2-leg Ladder with Ring Exchange
- Bose Metals and Insulators on Multi-Leg Ladders with Ring Exchange
- Exotic Gapless Mott Insulators of Bosons on Multi-Leg Ladders
- Gapless chiral spin liquid from coupled chains on the kagome lattice
- Signatures of gapless fermionic spinons on a strip of the kagome Heisenberg antiferromagnet
- Topological semimetals and insulators in three-dimensional honeycomb materials
Cited by in corpus (10)
- Emergent Fermi surface in a triangular-lattice SU(4) quantum antiferromagnet
- Noncoplanar magnetic orders and gapless chiral spin liquid on the kagome lattice with staggered scalar spin chirality
- Spin chain network construction of chiral spin liquids
- Order by disorder in classical kagome antiferromagnets with chiral interactions
- Magnon crystals and magnetic phases in a Kagomé-stripe antiferromagnet
- Projected d-wave superconducting state: a fermionic projected entangled pair state study
- Network construction of non-Abelian chiral spin liquids
- Flux-driven quantum spin liquids in kagome optical lattices
- Majorana Fermi surface state in a network of quantum spin chains
- Emergence of topological defects and spin liquid in a two-orbital spin-fermion model on the honeycomb lattice