Exact ground states of a frustrated 2D magnet: deconfined fractional excitations at a first order quantum phase transition

C. D. Batista; S. A. Trugman

Exact ground states of a frustrated 2D magnet: deconfined fractional excitations at a first order quantum phase transition

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arxiv cond-mat/0407216 v2 pith:BPCR6V6J submitted 2004-07-08 cond-mat.str-el

Exact ground states of a frustrated 2D magnet: deconfined fractional excitations at a first order quantum phase transition

C. D. Batista , S. A. Trugman This is my paper

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We introduce a frustrated spin 1/2 Hamiltonian which is an extension of the two dimensional $J_1 - J_2$ Heisenberg model. The ground states of this model are exactly obtained at a first order quantum phase transition between two regions with different valence bond solid order parameters. At this point, the low energy excitations are deconfined spinons and spin-charge separation occurs under doping in the limit of low concentration of holes. In addition, this point is characterized by the proliferation of topological defects that signal the emergence of $Z_2$ gauge symmetry.

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