Symmetry-Projected Spin-AGP Methods Applied to Spin Systems

2025/04/10 by Liu, Zhiyuan, Henderson, Thomas M., Scuseria, Gustavo E.
#FOS: Physical sciences #Strongly Correlated Electrons (cond-mat.str-el)

paper · doi:10.48550/arxiv.2504.08130

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 J₁-J₂ model with square and triangular lattices. Our results indicate that symmetry projection methods provide a powerful tool for frustrated spin systems.

Citations

• Combining complex conjugation, time-reversal, and spin symmetry projection of coupled cluster wave functions
• A Power Series Approximation in Symmetry Projected Coupled Cluster Theory
• Construction of linearly independent non-orthogonal AGP states
• Exploring non-linear correlators on AGP
• Geminal replacement models based on AGP
• Correlating the Antisymmetrized Geminal Power Wave Function
• Efficient evaluation of AGP reduced density matrices
• Geminal-Based Configuration Interaction
• Particle-number projected Bogoliubov coupled cluster theory. Application to the pairing Hamiltonian
• Projected Coupled Cluster Theory: Optimization of cluster amplitudes in the presence of symmetry projection
• Schwinger boson mean field study of the J₁-J₂ Heisenberg quantum antiferromagnet on the triangular lattice
• Projected Coupled Cluster Theory
• Bridging single- and multireference domains for electron correlation: spin-extended coupled electron pair approximation
• Quantum spin liquid states
• Symmetry fractionalization in the topological phase of the spin-12J1−J2triangular Heisenberg model
• Spin liquid nature in the Heisenberg J₁-J₂ triangular antiferromagnet
• Symmetry broken and restored coupled-cluster theory. II. Global gauge symmetry and particle number
• Competing spin-liquid states in the spin-12Heisenberg model on the triangular lattice
• Gapless spin-liquid phase in an extended spin 1/2 triangular Heisenberg model
• Symmetry broken and restored coupled-cluster theory I. Rotational symmetry and angular momentum
• The phase diagram of the antiferromagnetic XXZ model on the triangular lattice
• Density Matrix Embedding from Broken Symmetry Lattice Mean-Fields
• Theory of a competitive spin liquid state for weak Mott insulators on the triangular lattice
• Projected Hartree-Fock Theory
• Anyons in an exactly solved model and beyond
• Resonating Valence Bond Wave Functions for Strongly Frustrated Spin Systems
• Valence-bond crystal phase of a frustrated spin-1/2 square-lattice antiferromagnet
• Theory of Superconductivity

Related

• Spin-projected matrix product states (SP-MPS): a versatile tool for strongly correlated systems
• Combining complex conjugation, time-reversal, and spin symmetry projection of coupled cluster wave functions
• Algorithm for spin symmetry operation search
• Simultaneous Spin and Point-Group Adaptation in Exact Diagonalization of Spin Clusters
• Spin-Symmetry Projected constrained Unrestricted Hartree-Fock