Competing States in the Two-Dimensional Frustrated Kondo-Necklace Model

Abstract

The interplay between Kondo screening, indirect magnetic interaction and geometrical frustration is studied in the two-dimensional Kondo-necklace model on the triangular lattice. Using infinite projected entangled pair states (iPEPS), we compute the ground state as a function of the antiferromagnetic local Kondo interaction $J_K$ and the Ising-type direct spin-spin interaction $I_z$ . As opposed to previous studies, we do not find partial Kondo screening (PKS) in the isotropic limit $I_z=0$ but the same behavior as in the unfrustrated case, i.e. a direct phase transition between the paradigmatic phases of the Doniach competition: (i) a disordered phase consisting of local spin-singlets at strong $J_K$ and (ii) a magnetically ordered phase at weak $J_K$ . For $I_z>0$, we find a PKS ground state but again in opposite to previous studies, we find that the PKS ground state is in strong competition with a second ground state candidate not found before. This state is characterized by a strongly polarized central spin in each hexagon and its anti-parallel, weakly polarized (i.e. partially screened) neighbors. We name it central spin (CS) phase.

arXiv comment12 pages, 12 figures

References in corpus (45)

• The density-matrix renormalization group in the age of matrix product states
• Area laws for the entanglement entropy - a review
• A Practical Introduction to Tensor Networks: Matrix Product States and Projected Entangled Pair States
• Matrix Product States, Projected Entangled Pair States, and variational renormalization group methods for quantum spin systems
• Computational complexity and fundamental limitations to fermionic quantum Monte Carlo simulations
• Spin Liquid Ground State of the $S=1/2$ Kagome Heisenberg Model
• Matrix Product States and Projected Entangled Pair States: Concepts, Symmetries, and Theorems
• Classical simulation of infinite-size quantum lattice systems in two spatial dimensions
• Competing states in the t-J model: uniform d-wave state versus stripe state
• Accurate determination of tensor network state of quantum lattice models in two dimensions
• Corner Transfer Matrix Renormalization Group Method
• Simulation of two dimensional quantum systems on an infinite lattice revisited: corner transfer matrix for tensor contraction
• Gapless spin-liquid ground state in the $S=1/2$ kagome antiferromagnet
• Neel order in square and triangular lattice Heisenberg models
• Gapless spin-liquid phase in the kagome spin-1/2 Heisenberg antiferromagnet
• Simulation of strongly correlated fermions in two spatial dimensions with fermionic Projected Entangled-Pair States
• Tensor network states and algorithms in the presence of a global U(1) symmetry
• Tensor network states and geometry
• Variational study of hard-core bosons in a 2-D optical lattice using Projected Entangled Pair States (PEPS)
• Differentiable Programming Tensor Networks
• Variational optimization with infinite projected entangled-pair states
• The iPEPS algorithm, improved: fast full update and gauge fixing
• Crystals of bound states in the magnetization plateaus of the Shastry-Sutherland model
• Gapped spin liquid with ${\mathbb{Z}}_2$-topological order for kagome Heisenberg model
• Interplay of quantum and thermal fluctuations in a frustrated magnet
• Implementing global Abelian symmetries in projected entangled-pair state algorithms
• Unifying Projected Entangled Pair States contractions
• Magnetic field induced quantum phases in a tensor network study of Kitaev magnets
• Non-Abelian chiral spin liquid in a quantum antiferromagnet revealed by an iPEPS study
• Partial Kondo screening in frustrated Kondo lattice systems
• Anomalies in the pseudogap phase of the cuprates: Competing ground states and the role of umklapp scattering
• Competition between intermediate plaquette phases in SrCu${}_2$(BO${}_3$)${}_2$ under pressure
• Investigation of the Néel phase of the frustrated Heisenberg antiferromagnet by differentiable symmetric tensor networks
• Automatic differentiation applied to excitations with Projected Entangled Pair States
• Emergent Haldane phase in the $S=1$ bilinear-biquadratic Heisenberg model on the square lattice
• Spin-$\frac{1}{2}$ Heisenberg antiferromagnet on the star lattice: Competing valence-bond-solid phases studied by means of tensor networks
• 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
• Single-layer tensor network study of the Heisenberg model with chiral interactions on a kagome lattice
• CePdAl - a Kondo lattice with partial frustration
• Partial Disorder and Metal-Insulator Transition in the Periodic Anderson Model on a Triangular Lattice
• Spin-one bilinear-biquadratic model on a star lattice
• Frustrated quantum magnetism in the Kondo lattice on the zigzag ladder
• Variational Monte Carlo Study of the Kondo Necklace Model with Geometrical Frustration
• Phase diagram of the Kondo model on the zigzag ladder

Cited by in corpus (6)

• Quantum spin liquid phase in the Shastry-Sutherland model revealed by high-precision infinite projected entangled-pair states
• Asymmetry effects on the phases of RKKY-coupled two-impurity Kondo systems
• Efficient optimization and conceptual barriers in variational finite Projected Entangled-Pair States
• Exploiting the Hermitian symmetry in tensor network algorithms
• Magnetic phases of the periodic Anderson model in two dimensions
• Accurate computation of the energy variance and $⟨⟨{\mathcal{L}}^{†}\mathcal{L}⟩⟩$ using iPEPS