Modified spin-wave theory and spin liquid behavior of cold bosons on an inhomogeneous triangular lattice

Abstract

Ultracold bosons in a triangular lattice are a promising candidate for observing quantum spin liquid behavior. Here we investigate, for such system, the role of a harmonic trap giving rise to an inhomogeneous density. We construct a modified spin-wave theory for arbitrary filling, and predict the breakdown of order for certain values of the lattice anisotropy. These regimes, identified with the spin liquid phases, are found to be quite robust upon changes in the filling factor. This result is backed by an exact diagonalization study on a small lattice.

16 pages, 16 figures; v2 references added, minor changes

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• Loading Ultracold Gases in Topological Floquet Bands: Current and Center-of-Mass Responses
• Effective triangular ladders with staggered flux from spin-orbit coupling in 1D optical lattices
• Frustrated quantum spin systems in small triangular lattices studied with a numerical method
• Using Random Boundary Conditions to simulate disordered quantum spin models in 2D-systems
• Structurally induced magnetic transitions in layered dichalcogenides MoQ2 (Q = S, Se, Te) and double hydroxides (M2+)6Al3(OH)18[Na(H2O)6](SO4)2 6H2O (M2+ = Mn2+, Fe2+) under mechanical deformation