Dear Nils,  Thank you for your note.  It is indeed interesting if the
2D DQMC and 3D DMFT data agree nicely (with rescaling.
Richard

Dear Thereza,
Could you please send the data to Nils?
Thank you,
Richard

Dear Prof. Trivedi, dear Richard,

we just came across your recent PRL on "Fermions in 2D Optical Lattices ...". Somewhat surprisingly, our DMFT estimates of the double occupancy in cubic systems agree very well, upon proper rescaling (by a factor of sqrt(3/2)) of interactions and temperatures, with data shown in your Fig. 1c for the strongest interactions. Of course the local character of D should suit the DMFT, provided that the phases are not too different.

Could you maybe send us the corresponding data files? We would also be interested in data for slightly larger interactions, e.g., U/t=10. In this case, I would expect to see an increase of D at low T by about 50% (relative to a minimum of about D=0.025 at a temperature of roughly T/t=0.4). Can you access this region or do you already have data? Of course, I would also be happy to approach Thereza Paiva with these questions if you could provide me an email address.

At this opportunity, I would like to point out that the DMFT data reproduced in your Fig. 1c has serious problems. Specifically, it represents a *paramagnetic* solution as Werner et al excluded antiferromagnetic order in their Bethe lattice calculations (in addition, they apparently applied incorrect scaling factors in their PRL). So the anomaly suggested for Pomeranchuk cooling does not even exist in higher dimensions, at least not to the degree suggested by Werner et al.

With 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/