Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2011-04-08
Phys. Rev. E 84, 061127 (2011)
Physics
Condensed Matter
Strongly Correlated Electrons
6 pages, 5 figures
Scientific paper
10.1103/PhysRevE.84.061127
We demonstrate the existence of orbital Coulomb phase as the exact ground state of p-orbital exchange Hamiltonian on the diamond lattice. The Coulomb phase is an emergent state characterized by algebraic dipolar correlations and a gauge structure resulting from local constraints (ice rules) of the underlying lattice models. For most ice models on the pyrochlore lattice, these local constraints are a direct consequence of minimizing the energy of each individual tetrahedron. On the contrary, the orbital ice rules are emergent phenomena resulting from the quantum orbital dynamics. We show that the orbital ice model exhibits an emergent geometrical frustration by mapping the degenerate quantum orbital ground states to the spin-ice states obeying the 2-in-2-out constraints on the pyrochlore lattice. We also discuss possible realization of the orbital ice model in optical lattices with p-band fermionic cold atoms.
Chern Gia-Wei
Wu Congjun
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