Another exact ground state of a two-dimensional quantum antiferromagnet
Pratyay Ghosh, Tobias Müller, Ronny Thomale
Abstract
We present the exact dimer ground state of a quantum antiferromagnet on the maple-leaf lattice. A coupling anisotropy for one of the three inequivalent nearest-neighbor bonds is sufficient to stabilize the dimer state. Together with the Shastry-Sutherland Hamiltonian, we show that this is the only other model with an exact dimer ground state for all two-dimensional lattices with uniform tilings.
Topics & Concepts
Ground stateAntiferromagnetismHamiltonian (control theory)PhysicsDimerMapleCondensed matter physicsAnisotropyLattice (music)QuantumQuantum mechanicsMathematicsNuclear magnetic resonanceBiologyMathematical optimizationBotanyAcousticsPhysics of Superconductivity and MagnetismAdvanced Condensed Matter PhysicsAlgebraic structures and combinatorial models