Magnon Supersolid and Anomalous Hysteresis in Spin Dimers on a Triangular Lattice

Abstract

We study the magnetic phase diagram and hysteresis behavior of weakly coupled spin dimers on a triangular lattice using the cluster mean-field method with cluster-size scaling. We find that the magnetization curve has plateaus at 1/3 and 2/3 of the total magnetization, in which local singlet and triplet states form a superlattice pattern. Moreover, if increasing (decreasing) the magnetic field from the 1/3 (2/3) plateau, the Bose-Einstein condensation (BEC) of triplons occurs on the superlattice background, leading to the transition into magnon supersolid phase. We also find that the first-order transition between these solid states and the standard magnon BEC state exhibits an anomalous hysteresis upon cycling the magnetic field; the transition can occur only from solid to BEC, and the system cannot return to the initial solid state in the reverse process.

6 pages, 6 figures

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• First-order phase transition and anomalous hysteresis of Bose gases in optical lattices
• Relaxation, decoherence and steady-state population inversion in qubits doubly dressed by microwave and radiofrequency fields
• Supersolid Phase Accompanied by a Quantum Critical Point in the Intermediate Coupling Regime of the Holstein Model
• Supersolid states in a spin system-phase diagram and collective excitations
• Field-induced Bose-Einstein condensation and supersolid in the two-dimensional Kondo necklace
• Localized magnetic excitations in the fully frustrated dimerized magnet Ba${}_2$CoSi${}_2$O${}_6$Cl${}_2$
• Nonequilibrium steady states of Bose-Einstein condensates with a local particle loss in double potential barriers
• Competing supersolids of Bose-Bose mixtures in a triangular lattice
• Low-energy spin excitations in field-induced phases of the spin-ladder antiferromagnet BiCu${}_2$PO${}_6$