Dear Richard and Thereza,

we finally found a bug in our implementation of a triangular lattice topology (as a square lattice plus one diagonal): the diagonal amplitude had not been transmitted via MPI to the slaves; so in a parallel loop over the Matsubara frequencies the Dyson equation was evaluated for different lattices (square vs. triangular) which led to all kinds of artifacts.

Anyway, we now have precise data for the triangular lattice and could confirm my expectation that - at n=1 and strong coupling - the paramagnetic phases of triangular and cubic lattices look very similar within DMFT. In fact, at U=12t, our new data for D(T) of the triangular lattice agrees on the percent level with our existing data for the cubic lattice (down to T=0.02).

So we would be excited to see direct QMC data for the triangular lattice at U=12t (ideally for multiple discretizations).

I expect that the resulting estimates of D(T) would roughly agree with your QMC data for the cubic lattice (blue diamonds in plot below) at T>1, but then essentially follow the paramagnetic DMFT curve down to a plateau (as in the paramagnetic DMFT data: thin lines and red circles) at D=0.025 instead of turning up. At the very least, the temperature of the minimum and the enhancement at low T should be strongly reduced. 

So what are your plans for QMC runs?

Best regards 

Nils

Nils Blümer
Institut für Physik, KOMET 337			Room: 03 134, Staudingerweg 7
Johannes Gutenberg-Universität		Phone: (+49) 6131 / 392 22 77
55099 Mainz, Germany				FAX:   (+49) 6131 / 392 09 54
http://komet337.physik.uni-mainz.de/Bluemer/