Dear Richard and Thereza,
sorry for the much too long delay. Frankly, I also find it difficult to keep track of everything and I am just getting reorganized (having survived the lecture term which finished last Saturday). However, the timing of your return to the project is brilliant: we will work essentially full time on this for the next few weeks and plan to submit in March.
There are some important developments since my last email (2011-01-04): we have extended the comparison (in particular of D(s)) to d=1, initially using literature data (which was incredibly difficult to dig up); since yesterday we have a working Bethe Ansatz program contributed by Andreas Klümper which yields exact data within a few seconds per data point. One fascinating result: the strong-coupling minimum in D(s) converges to s_min=log(2) in d=1, just like in DMFT; we may expect that this holds for any dimension. I am sure you agree that Andreas Klümper as a distinguished Bethe-ansatz-expert is an ideal partner for our collaboration and have asked him to become coauthor of our paper. Some results are attached below.
We will compile a full list of existing and missing QMC data shortly. What appears most urgent right now is:
1) d=3, U/t=15, 1.5 <= T/t <= 5: 3 discretizations for extrapolation Delta_tau->0
2) d=3, U/t=12, 1.25 <= T/t <= 5: 3 discretizations
3) entropy data for square lattice (d=2), in particular for U/t=10 and U/t=12? Alternatively we could get high-T-expansion data from the Hofstetter group.
We will obviously not need d=1 data from you (since we have BA now). We will postpone triangular lattices until this work is submitted.
Best regards
Nils
PS: I will try to respond within 24 hours from now on (at least) until our joint paper is submitted.
On 17.02.2011, at 19:21, Richard T. Scalettar wrote:
Dear Nils and Elena,
I know I have dropped the ball on our project, but I would like now to
finish it up. Can you remind me (and Thereza) what data would allow us
to complete the analysis? I think we have discussed various things,
large U, triangular, one-dimension, assessing finite size/Trotter
errors, etc, but I have lost track. I am sorry if you have already
given me a wish list, like that. If you re-send it Thereza and I will
divvy it up and finish it off pronto.
Richard
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
