Symmetry-Projected Spin-AGP Methods Applied to Spin Systems

Abstract

Symmetry-projected wave function methods capture static correlation by breaking and restoring the symmetries of a system. In this article, we present the symmetry-projected spin antisymmetrized geminal power (spin-AGP) state projected onto space group symmetry as well as complex conjugation, spin-flip, and time-reversal symmetries. The method is benchmarked on the 1D XXZ model and 2D ${\mathrm{J}}_1-{\mathrm{J}}_2$ model with square and triangular lattices. Our results indicate that symmetry projection methods provide a powerful tool for frustrated spin systems.

References in corpus (30)

• Anyons in an exactly solved model and beyond
• Quantum Spin Liquid States
• Spin liquid nature in the Heisenberg $J_1$-$J_2$ triangular antiferromagnet
• Spin liquid phase of the $S=\frac{1}{2}$ $J_1-J_2$ Heisenberg model on the triangular lattice
• Projected Hartree-Fock Theory
• Resonating Valence Bond Wave Functions for Strongly Frustrated Spin Systems
• Competing Spin Liquid States in the Spin-$1/2$ Heisenberg Model On Triangular Lattice
• Gapless spin-liquid phase in an extended spin 1/2 triangular Heisenberg model
• Density Matrix Embedding from Broken Symmetry Lattice Mean-Fields
• Theory of a competitive spin liquid state for weak Mott insulators on the triangular lattice
• The phase diagram of the antiferromagnetic XXZ model on the triangular lattice
• Gapless quantum spin liquid and global phase diagram of the spin-1/2 $J_1$-$J_2$ square antiferromagnetic Heisenberg model
• Projected Coupled Cluster Theory
• Symmetry broken and restored coupled-cluster theory I. Rotational symmetry and angular momentum
• Systematic electronic structure in the cuprate parent state from quantum many-body simulations
• Symmetry fractionalization in the topological phase of the spin-$\frac{1}{2}$ $J_1$-$J_2$ triangular Heisenberg model
• Particle-number projected Bogoliubov coupled cluster theory. Application to the pairing Hamiltonian
• Geminal-Based Configuration Interaction
• Efficient evaluation of AGP reduced density matrices
• Correlating the Antisymmetrized Geminal Power Wave Function
• Geminal replacement models based on AGP
• Exploring non-linear correlators on AGP
• Schwinger boson mean field study of the $J_1$-$J_2$ Heisenberg quantum antiferromagnet on the triangular lattice
• Coupled cluster and perturbation theories based on a cluster mean-field reference applied to strongly correlated spin systems
• Projected Coupled Cluster Theory: Optimization of cluster amplitudes in the presence of symmetry projection
• Construction of linearly independent non-orthogonal AGP states
• Robust formulation of Wick's theorem for computing matrix elements between Hartree-Fock-Bogoliubov wavefunctions
• Symmetry-projected cluster mean-field theory applied to spin systems
• Exploring Spin AGP Ansatze for Strongly Correlated Spin Systems
• A Power Series Approximation in Symmetry Projected Coupled Cluster Theory