Phase diagram of the Kondo model on the zigzag ladder

Abstract

The effect of next-nearest-neighbor hopping $t_2$ on the ground-state phase diagram of the one-dimensional Kondo lattice is studied with density-matrix renormalization-group techniques and by comparing with the phase diagram of the classical-spin variant of the same model. For a finite $t_2$, i.e., for a zigzag-ladder geometry, indirect antiferromagnetic interactions between the localized spins are geometrically frustrated. We demonstrate that $t_2$ at the same time triggers several magnetic phases which are absent in the model with nearest-neighbor hopping only. For strong $J$, we find a transition from antiferromagnetic to incommensurate magnetic short-range order, which can be understood entirely in the classical-spin picture. For weaker $J$, a spin-dimerized phase emerges, which spontaneously breaks the discrete translation symmetry. The phase is not accessible to perturbative means but is explained, on a qualitative level, by the classical-spin model as well. Spin dimerization alleviates magnetic frustration and is interpreted as a key to understand the emergence of quasi-long-range spiral magnetic order which is found at weaker couplings. The phase diagram at weak $J$, with gapless quasi-long-range order on top of the two-fold degenerate spin-dimerized ground state, competing with a nondegenerate phase with gapped spin (and charge) excitations, is unconventional and eludes an effective low-energy spin-only theory.

arXiv comment16 pages, 12 figures

References in corpus (15)

• The density-matrix renormalization group in the age of matrix product states
• From density-matrix renormalization group to matrix product states
• Variational optimization algorithms for uniform matrix product states
• Non-abelian symmetries in tensor networks: a quantum symmetry space approach
• A Strictly Single-Site DMRG Algorithm with Subspace Expansion
• Semiclassical Solution of One Dimensional Model of Kondo Insulator
• Partial Kondo screening in frustrated Kondo lattice systems
• Quantum Monte Carlo Simulation of Frustrated Kondo Lattice Models
• Multiplons in the two-hole excitation spectra of the one-dimensional Hubbard model
• Dynamical mean-field study of partial Kondo screening in the periodic Anderson model on the triangular lattice
• Partial Disorder in the Periodic Anderson Model on a Triangular Lattice
• On the RKKY range function of a one dimensional non interacting electron gas
• Macrospin approximation and quantum effects in models for magnetization reversal
• Frustrated quantum magnetism in the Kondo lattice on the zigzag ladder
• Incommensurate Single-Angle Spiral Orderings of Classical Heisenberg Spins on Zigzag Ladder Lattices

Cited by in corpus (3)

• Competing States in the Two-Dimensional Frustrated Kondo-Necklace Model
• SU($\mathbf{N}$) Kondo-Heisenberg chain: Phase diagram, Ising criticality, and the coexistence of heavy quasiparticles and valence bond solid order
• Kondo Screening and Indirect Magnetic Exchange through a Conventional Superconductor Studied by the Density-Matrix Renormalization Group