Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2011-03-28
Phys.Rev.Lett.107:020402,2011
Physics
Condensed Matter
Strongly Correlated Electrons
4 pages and 4 page appendix, 4 figures
Scientific paper
10.1103/PhysRevLett.107.020402
Universal logarithmic terms in the entanglement entropy appear at quantum critical points (QCPs) in one dimension (1D) and have been predicted in 2D at QCPs described by 2D conformal field theories. The entanglement entropy in a strip geometry at such QCPs can be obtained via the "Shannon entropy" of a 1D spin chain with open boundary conditions. The Shannon entropy of the XXZ chain is found to have a logarithmic term that implies, for the QCP of the square-lattice quantum dimer model, a logarithm with universal coefficient $\pm 0.25$. However, the logarithm in the Shannon entropy of the transverse-field Ising model, which corresponds to entanglement in the 2D Ising conformal QCP, is found to have a singular dependence on replica or R\'enyi index resulting from flows to different boundary conditions at the entanglement cut.
Bardarson Jens H.
Moore Joel E.
Zaletel Michael P.
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