The one-dimensional Kondo lattice model at quarter-filling

Abstract

We revisit the problem of the quarter-filled one-dimensional Kondo lattice model, for which the existence of a dimerized phase and a non-zero charge gap had been reported in Phys. Rev. Lett. \textbf{90}, 247204 (2003). Recently, some objections were raised claiming that the system is neither dimerized nor has a charge gap. In the interest of clarifying this important issue, we show that these objections are based on results obtained under conditions in which the dimer order is artificially suppressed. We use the incontrovertible dimerized phase of the Majumdar-Ghosh point of the $J_1-J_2$ Heisenberg model as a paradigm with which to illustrate this artificial suppression. Finally, by means of extremely accurate DMRG calculations, we show that the charge gap is indeed non-zero in the dimerized phase.

6 pages, 5 figues, to to appear in PRB

References in corpus (5)

• Dimerization and Incommensurate Spiral Spin Correlations in the Zigzag Spin Chain: Analogies to the Kondo Lattice
• Numerical and approximate analytical results for the frustrated spin-1/2 quantum spin chain
• Soliton Approach to Spin-Peierls Antiferromagnets: Large-Scale Numerical Results
• The one dimensional Kondo lattice model at partial band filling
• Dimerization induced by the RKKY interaction

Cited by in corpus (8)

• Boundary effects in the density-matrix renormalization group calculation
• Quantum phase transitions, frustration, and the Fermi surface in the Kondo lattice model
• Pair density wave, unconventional superconductivity, and non-Fermi liquid quantum critical phase in frustrated Kondo lattice
• Charge Density Wave in a Doped Kondo Chain
• Frustrated quantum magnetism in the Kondo lattice on the zigzag ladder
• Coupled dimer and bond-order-wave order in the quarter-filled one-dimensional Kondo lattice model
• Lieb-Schultz-Mattis constraints for the insulating phases of the one-dimensional SU($N$) Kondo lattice model
• SU($\mathbf{N}$) Kondo-Heisenberg chain: Phase diagram, Ising criticality, and the coexistence of heavy quasiparticles and valence bond solid order