Parts | Days | Selection | Search | Updates | Downloads | Help
TT: Fachverband Tiefe Temperaturen
TT 44: Poster Session Correlated Electrons
TT 44.82: Poster
Thursday, March 17, 2011, 10:00–13:00, P1
Entanglement spectrum analysis of frustrated Heisenberg antiferromagnets — •Burkhard Scharfenberger1, Ronny Thomale2, and Martin Greiter1 — 1Institut für Theorie der Kondensierten Materie, Karlsruhe Institute of Technology, 76128 Karlsruhe, Germany — 2Department of Physics, Princeton University, Princeton, NJ 08544, USA
We investigate numerically the entanglement spectra of S=1 chirality - and S=1/2 chiral spin liquids on various lattice geometries (N=16,32-site square and N=18,36-site kagome lattices) with cylindrical topology. We compare these spectra to those obtained from groundstates of antiferromagnetic Heisenberg models with either simple nearest neighbour interaction if the lattice geometry already causes frustration (kagome) or next nearest neighbour interaction near the critical coupling strength J1=2 J2, which introduces frustration via the interaction (square lattice).
On the square lattice we find that both chiral spin liquid and chirality liquid describe the antiferromagnet equally well up to the critical point, despite the fact that the only the chirality liquid has the same symmetries (parity P and time reversal T) as the hamiltonian.
In the case of the Kagome lattice, the exponential groundstate degeneracy caused by frustration is mirrored in the exponential freedom we have in writing out our spin liquids for different sublattice configurations. The interesting ’low energy’ part of the spectrum proves to be insensitive to this subdivision, which suggests that
all these states essentially describe the same phase of the system.