Topological Entanglement Entropy of Z2 Spin liquids and Lattice Laughlin states

Details Topological Entanglement Entropy of Z2 Spin liquids and Lattice Laughlin states Topological Entanglement Entropy of Z2 Spin liquids and Lattice Laughlin states

2011-05-31

arxiv.org/abs/1106.0015v3

Phys.Rev.B84:075128,2011

Physics

Condensed Matter

Strongly Correlated Electrons

8 pages, 3 figures, minor changes and references updated

Scientific paper

10.1103/PhysRevB.84.075128

We study entanglement properties of candidate wave-functions for SU(2) symmetric gapped spin liquids and Laughlin states. These wave-functions are obtained by the Gutzwiller projection technique. Using Topological Entanglement Entropy \gamma\ as a tool, we establish topological order in chiral spin liquid and Z2 spin liquid wave-functions, as well as a lattice version of the Laughlin state. Our results agree very well with the field theoretic result \gamma =log D where D is the total quantum dimension of the phase. All calculations are done using a Monte Carlo technique on a 12 times 12 lattice enabling us to extract \gamma\ with small finite size effects. For a chiral spin liquid wave-function, the calculated value is within 4% of the ideal value. We also find good agreement for a lattice version of the Laughlin \nu =1/3 phase with the expected \gamma=log \sqrt{3}.

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