Re: QMC data inventory, DCA comparison

Dear Elena and Nils,

I am sending attached plots and also data files for nearest neighbor spin-spin correlations for U=6, rho=1 6x6x6 lattices and 2 <= T <=5.
The data is more noisy than the one for double occupation I sent a few minutes ago, especially for T < ~ 0.3. Even so, I was able to extrapolate with dtau.

The tables contain two columns for spin-spin correlations: one for the zz
correlations and the other for the xx (or yy). I averaged them on the plots I am sending.

Would you like me to refine the data for the lower Ts? Do you want
other dtau values?

best,
Thereza

On Thu, 30 Sep 2010, Nils Bluemer wrote:

Dear Thereza and Richard,

Elena has gone through all files (Origin and plain text) again and has collected the QMC data that we have, with a linked summary page: http://komet337.physik.uni-mainz.de/Gorelik/qmc_summary.html . Unfortunately, we still have no idea about the discretization dependence of the spin-spin correlation data and only a rough idea in the case of the double occupations. So will you send us additional data in the near future? Or shall we sort everything out during my stay in Davis?

You have probably seen the preprints on the thermodynamics of the Hubbard model near the Neel temperature recently put online by the Troyer and the Georges groups:

http://arxiv.org/abs/1009.2759
Thermodynamics of the 3D Hubbard model on approach to the Neel transition
Authors: S. Fuchs, E. Gull, L. Pollet, E. Burovski, E. Kozik, T.
Pruschke, M. Troyer
Comments: 4 pages, 6 figures
Subjects: Quantum Gases (cond-mat.quant-gas); Strongly Correlated
Electrons (cond-mat.str-el)

http://arxiv.org/abs/1009.2761
Thermodynamics of the three-dimensional Hubbard model: Implications for
cooling cold atomic gases in optical lattices
Authors: Lorenzo De Leo, Jean-Sebastien Bernier, Corinna Kollath,
Antoine Georges, Vito W. Scarola
Comments: 17 pages, 27 figures
Subjects: Quantum Gases (cond-mat.quant-gas); Strongly Correlated
Electrons (cond-mat.str-el)

Attached is an extension of our DMFT-QMC comparison for the cubic lattice to the DCA and DMFT data shown in the former paper. I am pretty satisfied with it as the DCA data is roughly where an extrapolation of the QMC data might end up. Fortunately for us, they did not reach low enough temperatures to see the interesting signatures (except for U/t=8 where it is a bit subtle).

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/

---------------------------------------------
Thereza Cristina de Lacerda Paiva
Departamento de Fisica dos Solidos
Instituto de Fisica
Universidade Federal do Rio de Janeiro
tclp@if.ufrj.br
www.if.ufrj.br/~tclp/tclp.html
tel: 55 21 2562-7316
fax: 55 21 2562-7368


sl6dt01.dat

 20   -0.107285 +-   0.000390   -0.106974 +-   0.000229
 24   -0.120164 +-   0.000573   -0.119973 +-   0.000259
 26   -0.127509 +-   0.001591   -0.127027 +-   0.000353
 28   -0.137160 +-   0.001548   -0.135967 +-   0.000361
 30   -0.150345 +-   0.001933   -0.151124 +-   0.002993
 34   -0.177320 +-   0.005015   -0.179585 +-   0.001950
 36   -0.186656 +-   0.006071   -0.197576 +-   0.004051
 38   -0.205772 +-   0.006618   -0.202230 +-   0.004720
 40   -0.211362 +-   0.005097   -0.208258 +-   0.002721
 44   -0.211762 +-   0.007972   -0.226932 +-   0.006450
 48   -0.227589 +-   0.007791   -0.219132 +-   0.004483
 50   -0.229842 +-   0.013628   -0.219846 +-   0.006417


sl6dt0125.dat

 16   -0.109792 +-   0.000516  -0.109116 +-   0.000169
 18   -0.117834 +-   0.000581  -0.117793 +-   0.000210
 20   -0.127176 +-   0.000536  -0.126575 +-   0.000225
 22   -0.139808 +-   0.001463  -0.145246 +-   0.006486
 24   -0.154244 +-   0.002191  -0.156028 +-   0.000974
 26   -0.177671 +-   0.004834  -0.174649 +-   0.002099
 28   -0.189457 +-   0.003322  -0.196041 +-   0.002224
 30   -0.217207 +-   0.007502  -0.198930 +-   0.003303
 32   -0.211455 +-   0.006127  -0.215955 +-   0.002962
 34   -0.210577 +-   0.005716   -0.222303 +-   0.003832
 36   -0.231015 +-   0.006367   -0.218905 +-   0.003906
 38   -0.232360 +-   0.007671   -0.224327 +-   0.004429
 40   -0.229467 +-   0.010019   -0.226854 +-   0.005469


sl6dt00625.dat

 32   -0.103984 +-   0.000232   -0.104258 +-   0.000198
 36   -0.111797 +-   0.000837   -0.111824 +-   0.000213
 40   -0.118196 +-   0.000684   -0.119371 +-   0.000218
 44   -0.130792 +-   0.001059   -0.129613 +-   0.000654
 48   -0.148828 +-   0.002169   -0.140179 +-   0.000319
 52   -0.158702 +-   0.002298   -0.160321 +-   0.000997
 56   -0.187291 +-   0.006794   -0.175792 +-   0.002583
 60   -0.209470 +-   0.006778   -0.188960 +-   0.003965
 64   -0.208397 +-   0.007721   -0.197511 +-   0.004049
 68   -0.218896 +-   0.007281   -0.204239 +-   0.003602
 72   -0.208766 +-   0.007586   -0.215617 +-   0.003697
 76   -0.214266 +-   0.009681   -0.215953 +-   0.005171
 80   -0.224279 +-   0.011666   -0.216224 +-   0.005468