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

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

2004-07-08

arxiv.org/abs/cond-mat/0407216v2

Phys. Rev. Lett. 93, 217202 (2004).

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 3 figures

Scientific paper

10.1103/PhysRevLett.93.217202

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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