Signatures of gapless fermionic spinons on a strip of the kagome Heisenberg antiferromagnet

Abstract

The search for exotic quantum spin liquid states in simple yet realistic spin models remains a central challenge in the field of frustrated quantum magnetism. Here we consider the canonical nearest-neighbor kagome Heisenberg antiferromagnet restricted to a quasi-1D strip consisting entirely of corner-sharing triangles. Using large-scale density matrix renormalization group calculations, we identify in this model an extended gapless quantum phase characterized by central charge $c=2$ and power-law decaying spin and bond-energy correlations which oscillate at tunably incommensurate wave vectors. We argue that this intriguing spin liquid phase can be understood as a marginal instability of a two-band spinon Fermi surface coupled to an emergent U(1) gauge field, an interpretation which we substantiate via bosonization analysis and Monte Carlo calculations on model Gutzwiller variational wave functions. Our results represent one of the first numerical demonstrations of emergent fermionic spinons in a simple SU(2) invariant nearest-neighbor Heisenberg model beyond the strictly 1D (Bethe chain) limit.

14 pages, 12 figures

References in corpus (25)

• Quantum Spin Liquids
• Quantum Spin Liquid States
• Identifying Topological Order by Entanglement Entropy
• Projected wavefunction study of Spin-1/2 Heisenberg model on the Kagome lattice
• Herbertsmithite and the Search for the Quantum Spin Liquid
• U(1) Gauge Theory of the Hubbard Model : Spin Liquid States and Possible Application to k-(BEDT-TTF)_2 Cu_2 (CN)_3
• Gapless spin-liquid ground state in the $S=1/2$ kagome antiferromagnet
• An exact chiral spin liquid with non-Abelian anyons
• Evidence for a spinon Fermi surface in a triangular lattice quantum spin liquid candidate
• Low energy effective theory of Fermi surface coupled with U(1) gauge field in 2+1 dimensions
• On the stability of U(1) spin liquids in two dimensions
• Properties of an algebraic spin liquid on the kagome lattice
• Signatures of Dirac cones in a DMRG study of the Kagome Heisenberg model
• Projected wave function study of Z2 spin liquids on the kagome lattice for the spin-1/2 quantum Heisenberg antiferromagnet
• Global Phase Diagram of Competing Ordered and Quantum Spin Liquid Phases on the Kagomé Lattice
• Matrix Product State applications for the ALPS project
• Stability of the U(1) spin liquid with spinon Fermi surface in 2+1 dimensions
• Phase diagram of the J1-J2 Heisenberg model on the kagome lattice
• Spin Bose-Metal and Valence Bond Solid phases in a spin-1/2 model with ring exchanges on a four-leg triangular ladder
• Non-Fermi-liquid d-wave metal phase of strongly interacting electrons
• The mother of all states of the kagome quantum antiferromagnet
• Strong-Coupling Phases of Frustrated Bosons on a 2-leg Ladder with Ring Exchange
• Exotic Gapless Mott Insulators of Bosons on Multi-Leg Ladders
• A continuous Mott transition between a metal and a quantum spin liquid
• Weak Ferromagnetic Exchange and Anomalous Specific Heat in ZnCu3(OH)6Cl2

Cited by in corpus (4)

• Symmetry-protected non-Fermi liquids, Kagome spin liquids, and the chiral Kondo lattice model
• Resonating dimer-monomer liquid state in a magnetization plateau of a spin-$\frac{1}{2}$ kagome-strip Heisenberg chain
• Magnetic phase diagrams of the spin-$\frac{1}{2}$ Heisenberg model on a kagome-strip chain: Emergence of a Haldane phase
• Anomalous fractional quantization in the kagomelike Heisenberg ladder: Emergence of the effective spin-1 chain