Variational optimization of tensor-network states with the honeycomb-lattice corner transfer matrix

Abstract

We develop a method of variational optimization of the infinite projected entangled pair states on the honeycomb lattice. The method is based on the automatic differentiation of the honeycomb-lattice corner transfer matrix renormalization group. We apply the approach to the antiferromagnetic Heisenberg spin-1/2 and ferromagnetic Kitaev models on the honeycomb lattice. The developed formalism gives quantitatively accurate results for the main physical observables and has a necessary potential for further extensions.

7 pages, 7 figures, published version

References in corpus (10)

• Classical simulation of infinite-size quantum lattice systems in two spatial dimensions
• Accurate determination of tensor network state of quantum lattice models in two dimensions
• Tensor-entanglement renormalization group approach to 2D quantum systems
• Spin-orbital quantum liquid on the honeycomb lattice
• Simulation of fermionic lattice models in two dimensions with Projected Entangled-Pair States: Next-nearest neighbor Hamiltonians
• Simplex solids in SU(N) Heisenberg models on the kagome and checkerboard lattices
• Exotic disordered phases in the quantum $J_1-J_2$ model on the honeycomb lattice
• Competition between spin liquids and valence-bond order in the frustrated spin-$1/2$ Heisenberg model on the honeycomb lattice
• Weak correlation effects in the Ising model on triangular-tiled hyperbolic lattices
• Tricritical point of J1-J2 Ising model on hyperbolic lattice

Cited by in corpus (14)

• An introduction to infinite projected entangled-pair state methods for variational ground state simulations using automatic differentiation
• Fractionalization Signatures in the Dynamics of Quantum Spin Liquids
• Corner transfer matrix renormalization group approach in the zoo of Archimedean lattices
• Critical line of the triangular Ising antiferromagnet in a field from a $C_3$-symmetric corner transfer matrix algorithm
• Differentiable programming tensor networks for Kitaev magnets
• Efficient calculation of three-dimensional tensor networks
• Variationally optimizing infinite projected entangled-pair states at large bond dimensions: A split corner transfer matrix renormalization group approach
• Gauge symmetry of excited states in projected entangled-pair state simulations
• Symmetry breaking and competing valence bond states in the star lattice Heisenberg antiferromagnet
• A Practical Introduction to Tensor Network Renormalization with TNRKit.jl
• Efficient iPEPS Simulation on the Honeycomb Lattice via QR-based CTMRG
• Tensor-Network study of Ising model on infinite hyperbolic dodecahedral lattice
• Simplex Crystal Ground State and Magnetization Plateaus in the Spin-$1/2$ Heisenberg Model on the Ruby Lattice
• Emergent Kitaev materials in synthetic Fermi-Hubbard bilayers