An extended non-magnetic phase in the spin-1/2 Heisenberg antiferromagnet from the ruby to the maple-leaf lattice
read the original abstract
The spin-1/2 Heisenberg antiferromagnet on the two-dimensional ruby and maple-leaf lattices provides a stringent test case for frustrated quantum magnetism, where semiclassical magnetic order competes closely with quantum-paramagnetic states. We study the generalized maple-leaf model along the axis interpolating between the isotropic ruby lattice and the isotropic maple-leaf lattice, using two independent variational infinite projected entangled-pair state ans\"atze: one defined on the mapped square lattice and one directly on the native triangular lattice. Our lowest-energy variational states show no magnetic order throughout the region connecting the two isotropic limits, and the local bond correlations recover the $120^\circ$ lattice rotation symmetry without imposing it explicitly. Magnetic-field simulations at the two endpoints further indicate a finite zero-magnetization plateau in both cases, with a gradual onset of magnetization on the ruby lattice and a sharper onset on the maple-leaf lattice. These results establish a broad gapped non-magnetic regime in a minimal nearest-neighbor Heisenberg model on lattices of direct relevance to both frustrated quantum magnets and programmable ruby-lattice simulators.
This paper has not been read by Pith yet.
Forward citations
Cited by 6 Pith papers
-
Large-flavor route to a stable U(1) Dirac spin liquid on the maple-leaf lattice
Maple-leaf lattice realizes U(1) Dirac spin liquid with N_f=12, where five symmetry-trivial charge-one monopoles may be dynamically irrelevant, providing a large-flavor platform to test compact QED3 stability.
-
Quantum spin liquid phase in the Shastry-Sutherland model revealed by high-precision infinite projected entangled-pair states
iPEPS simulations with bond-dimension extrapolation locate a quantum spin liquid phase in the Shastry-Sutherland model for 0.785(5) ≤ J'/J ≤ 0.82(1).
-
Incommensurate Spin-Density Waves in a Frustrated Maple-Leaf Lattice Ferromagnet
Exact diagonalization reveals an extended regime of incommensurate spin-density waves with continuously varying ordering vector on the ferromagnetic boundary of the maple-leaf lattice Heisenberg model.
-
Spin excitation of the Heisenberg antiferromagnet with frustration: from the bounce-lattice antiferromagnet through the maple-leaf-lattice antiferromagnet to the exact-dimer system
Numerical diagonalization reveals a spin excitation gap that closes at J_d/J_b ≈ 1.4 for S=1/2 and S=1, with an additional gapped phase for S=1 near the exact-dimer limit.
-
Accelerating two-dimensional tensor network contractions using QR decompositions
A QR-based CTMRG variant accelerates iPEPS contractions by up to two orders of magnitude on GPUs with no accuracy loss for the Heisenberg and J1-J2 models.
-
Magnetic phases in the $J_{1}$-$J_{2}$ antiferromagnetic XY model on the honeycomb lattice
Numerical tensor-network study identifies Néel, Ising, collinear, and incommensurate spiral phases plus their transitions in the J1-J2 XY antiferromagnet on the honeycomb lattice.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.