Efficient iPEPS Simulation on the Honeycomb Lattice via QR-based CTMRG

• URL: http://arxiv.org/abs/2509.05090v1
• Date: Fri, 05 Sep 2025 13:29:46 GMT
• Title: Efficient iPEPS Simulation on the Honeycomb Lattice via QR-based CTMRG
• Authors: Qi Yang, Philippe Corboz,
• Abstract summary: We develop a QR-based corner transfer matrix renormalization group (CTMRG) framework for contracting infinite projected entangled-pair states (iPEPS) on honeycomb lattices.<n>Our method explicitly uses the lattice's native C3v symmetry at each site, generalizing QR-based acceleration to enable efficient and stable contractions.
• Score: 2.0227357325437034
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We develop a QR-based corner transfer matrix renormalization group (CTMRG) framework for contracting infinite projected entangled-pair states (iPEPS) on honeycomb lattices. Our method explicitly uses the lattice's native C3v symmetry at each site, generalizing QR-based acceleration (previously limited to square lattices) to enable efficient and stable contractions. This approach achieves order-of-magnitude speedups over conventional singular value decomposition (SVD)-based CTMRG while maintaining high numerical precision. Comprehensive benchmark calculations for the spin-1/2 Heisenberg and Kitaev models demonstrate higher computational efficiency without sacrificing accuracy. We further employ our method to study the Kitaev-Heisenberg model, where we provide numerical evidence for the universal 1/r^4 decay of the dimer-dimer correlation function within the quantum spin liquid (QSL) phase. Our work establishes a framework for extending QR-based CTMRG to other lattice geometries, opening new avenues for studying exotic quantum phases with tensor networks.

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