Tensor-network simulation of the ruby-lattice antiferromagnet finds magnetic plateaus hosting simplex liquid states with residual entropy and continuous heat capacity at low but finite temperature.
An extended non-magnetic phase in the spin-1/2 Heisenberg antiferromagnet from the ruby to the maple-leaf lattice
7 Pith papers cite this work. Polarity classification is still indexing.
7
Pith papers citing it
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.
representative citing papers
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.
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).
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.
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.
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.
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.
citing papers explorer
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Finite-temperature formation of magnetic plateaus and simplex liquid states on the frustrated ruby lattice
Tensor-network simulation of the ruby-lattice antiferromagnet finds magnetic plateaus hosting simplex liquid states with residual entropy and continuous heat capacity at low but finite temperature.
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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.
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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).
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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.
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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.
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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.