Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2007-12-25
New Journal of Physics 10 (2008) 045017 (18pp)
Physics
Condensed Matter
Strongly Correlated Electrons
re-formatted; added discussion of feasibility
Scientific paper
10.1088/1367-2630/10/4/045017
We propose loading trapped ions into microtraps formed by an optical lattice. For harmonic microtraps, the Coulomb coupling of the spatial motions of neighboring ions can be used to construct a broad class of effective short-range Hamiltonians acting on an internal degree of freedom of the ions. For large anharmonicities, on the other hand, the spatial motion of the ions itself represents a spin-1/2 model with frustrated dipolar XY interactions. We illustrate the latter setup with three systems: the linear chain, the zig-zag ladder, and the triangular lattice. In the frustrated zig-zag ladder with dipolar interactions we find chiral ordering beyond what was predicted previously for a next-nearest-neighbor model. In the frustrated anisotropic triangular lattice with nearest-neighbor interactions we find that the transition from the one-dimensional gapless spin-liquid phase to the two-dimensional spiraling ordered phase passes through a gapped spin-liquid phase, similar to what has been predicted for the same model with Heisenberg interactions. Further, a second gapped spin-liquid phase marks the transition to the two-dimensional Neel-ordered phase.
Cirac Juan Ignacio
Murg Valentin
Porras Diego
Roscilde Tommaso
Schmied Roman
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