Continuous ferromagnetic quantum phase transition on an anisotropic Kondo lattice

Abstract

Motivated by the recent discovery of ferromagnetic quantum criticality in the heavy fermion compound CeRh${}_6$Ge${}_4$, we develop a numerical algorithm of infinite projected entangled pair states for the anisotropic ferromagnetic Kondo-Heisenberg model in two dimensions and study the ferromagnetic quantum phase transitions with varying magnetic and hopping anisotropy. Our calculations reveal a continuous ferromagnetic quantum phase transition in the large anisotropic region and first-order quantum phase transitions for smaller anisotropy. Our results highlight the importance of magnetic anisotropy on ferromagnetic quantum criticality in Kondo lattice systems and provide a possible explanation for the experimental observation in CeRh${}_6$Ge${}_4$ with a quasi-one-dimensional magnetic structure. Our work opens the avenue for future studies of the rich Kondo lattice physics using state-of-the-art tensor network approaches.

arXiv comment7 pages, 6 figures

References in corpus (44)

• The ITensor Software Library for Tensor Network Calculations
• Classical simulation of infinite-size quantum lattice systems in two spatial dimensions
• Stripe order in the underdoped region of the two-dimensional Hubbard model
• Tensor networks for complex quantum systems
• Entanglement entropy of fermions in any dimension and the Widom conjecture
• Renormalization algorithms for Quantum-Many Body Systems in two and higher dimensions
• Competing states in the t-J model: uniform d-wave state versus stripe state
• Violation of the entropic area law for Fermions
• Simulation of two dimensional quantum systems on an infinite lattice revisited: corner transfer matrix for tensor contraction
• Studying Two Dimensional Systems With the Density Matrix Renormalization Group
• Metallic Quantum Ferromagnets
• 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 decompositions in the presence of a global symmetry
• Non-abelian symmetries in tensor networks: a quantum symmetry space approach
• Differentiable Programming Tensor Networks
• Variational optimization with infinite projected entangled-pair states
• The iPEPS algorithm, improved: fast full update and gauge fixing
• Stripes in the two-dimensional t-J model with infinite projected entangled-pair states
• Gradient methods for variational optimization of projected entangled-pair states
• Strange metal behavior in a pure ferromagnetic Kondo lattice
• Fermionic multi-scale entanglement renormalization ansatz
• Tricritical point and wing structure in the itinerant ferromagnet UGe2
• Implementing global Abelian symmetries in projected entangled-pair state algorithms
• First order phase transition in the anisotropic quantum orbital compass model
• Period 4 stripe in the extended two-dimensional Hubbard model
• Ferromagnetic Quantum Criticality in the Quasi-One-Dimensional Heavy Fermion Metal YbNi4P2
• Variational tensor network renormalization in imaginary time: benchmark results in the Hubbard model at finite temperature
• Automatic differentiation applied to excitations with Projected Entangled Pair States
• Model for Ferromagnetic Quantum Critical Point in a 1D Kondo Lattice
• Ferromagnetic Quantum Critical Point in Non-Centrosymmetric Systems
• Disorder dependence of the ferromagnetic quantum phase transition
• Eigenstate entanglement: Crossover from the ground state to volume laws
• Unconventional Strong Spin-Fluctuation Effects around the Critical Pressure of the Itinerant Ising-Type Ferromagnet URhAl
• A beginner's guide to non-abelian iPEPS for correlated fermions
• Localized 4f-electrons in the quantum critical heavy fermion ferromagnet CeRh${}_6$Ge${}_4$
• Phase diagram and dynamics of the SU($\mathbf{N}$) symmetric Kondo lattice model
• Tensor Networks Can Resolve Fermi Surfaces
• Simulating both parity sectors of the Hubbard Model with Tensor Networks
• A unified theory of ferromagnetic quantum phase transitions in heavy fermion metals
• Ferromagnetic Quantum Critical Point Induced by Tuning the Magnetic Dimensionality of the Heavy-Fermion Iron Oxypnictide Ce(Ru${}_{1-x}$Fe${}_x$)PO
• Interplay of localized and itinerant behavior in the one-dimensional Kondo-Heisenberg model
• Optimization of infinite projected entangled pair states: The role of multiplets and their breaking
• The quantum ferromagnetic transition in a clean Kondo lattice is discontinuous

Cited by in corpus (5)

• Probing quantum criticality in ferromagnetic CeRh6Ge4
• Pair density wave, unconventional superconductivity, and non-Fermi liquid quantum critical phase in frustrated Kondo lattice
• An emerging global picture of heavy fermion physics
• Electronic structure dimensionality of the quantum-critical ferromagnet YbNi${}_4$P${}_2$
• Magnetically Mediated Cross-Layer Pairing in Pressurized Trilayer Nickelate La${}_4$Ni${}_3$O${}_{10}$