Subject: Re: QMC data inventory, DCA comparison
From: Thereza Cristina de Lacerda Paiva <tclp@if.ufrj.br>
Date: Fri, 15 Oct 2010 14:11:56 -0300
To: Nils Bluemer <nbluemer@uni-mainz.de>
CC: "Richard T. Scalettar" <rts@physics.ucdavis.edu>, "Gorelik, Dr. Elena V." <gorelike@uni-mainz.de>


Dear Elena and Nils,

I am sending attached two plots that show the dtau dependence of the double occupation for cubic lattices with 6x6x6 size and U=6 at half-filling.

I don´t have the same temperature grid for all dtau values, but there are some Ts for which I gathered 5 dtau values. Graph2 shows the dtau behavior of the  double occupation for these Ts. The points are the QMC data and the lines are parabolic fittings. The fittings are really good!

Let me know if you need more dtau values and/or more temperature values.

I´ll send nearest-neighbor spin-spin correlations in a moment.

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

doccl6dt01.dat

20 0.100000 0.110623 0.000052 24 0.100000 0.112084 0.000049 26 0.100000 0.112483 0.000059 28 0.100000 0.112410 0.000106 30 0.100000 0.111660 0.000136 34 0.100000 0.108920 0.000093 36 0.100000 0.107410 0.000162 38 0.100000 0.106531 0.000113 40 0.100000 0.105810 0.000072 44 0.100000 0.104725 0.000113 48 0.100000 0.104453 0.000074 50 0.100000 0.104451 0.000059

doccl6dt0125.dat

16 0.125000 0.108417 0.000031 18 0.125000 0.109419 0.000062 20 0.125000 0.109910 0.000037 22 0.125000 0.109782 0.000071 24 0.125000 0.108772 0.000103 26 0.125000 0.107008 0.000067 28 0.125000 0.104960 0.000163 30 0.125000 0.103801 0.000042 32 0.125000 0.102897 0.000096 34 0.125000 0.102434 0.000124 36 0.125000 0.101743 0.000134 38 0.125000 0.101450 0.000113 40 0.125000 0.101475 0.000138

doccl6dt00833.dat

24 0.083330 0.111830 0.000032 30 0.083330 0.113703 0.000043 36 0.083330 0.113143 0.000102 42 0.083330 0.109934 0.000059 48 0.083330 0.107514 0.000063 54 0.083330 0.106259 0.000093 60 0.083330 0.105902 0.000037

doccl6dt00625.dat

32 0.062500 0.113118 0.000033 36 0.062500 0.114170 0.000026 40 0.062500 0.114921 0.000046 44 0.062500 0.115205 0.000038 48 0.062500 0.114668 0.000089 52 0.062500 0.113519 0.000085 56 0.062500 0.111505 0.000121 60 0.062500 0.109908 0.000112 64 0.062500 0.109154 0.000064 68 0.062500 0.108543 0.000046 72 0.062500 0.108048 0.000078 76 0.062500 0.107679 0.000132 80 0.062500 0.107480 0.000069

doccl6dt005.dat

40 0.050000 0.113590 0.000023 50 0.050000 0.115513 0.000043 60 0.050000 0.115641 0.000071 70 0.050000 0.112324 0.000071 80 0.050000 0.110116 0.000064 100 0.050000 0.108400 0.000073