Characterizing topological spin liquids with Projected Entangled Pair States

Speaker: 
Norbert Schuch, Universitaet Aachen, Germany
Event Date and Time: 
Tue, 2012-09-18 14:00 - 15:00
Location: 
Hennings 318
Local Contact: 
Robert Raussendorf
We apply the framework of Projected Entangled Pair States (PEPS) to characterize the spin liquid nature of resonating valence bond (RVB) states on the kagome lattice. First, we use symmetries in the PEPS description to prove that the RVB state appears as the four-fold topologically degenerate ground state of a local Hamiltonian which is adiabatically connected to both the dimer state and Kitaev's Toric Code. Second, we use exact diagonalization type numerical PEPS techniques to study its spin liquid nature: We demonstrate that any correlation function in the RVB state decays exponentially, and that both the decay of correlations and the overall change of the state behave smoothly for the entire path connecting the RVB with the Toric Code state, suggesting that both systems are in the same topological phase. joint work with I. Cirac, D. Perez-Garcia, and D. Poilblanc
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