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33644500482
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Assaad, F.F.1
Werner, P.2
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Troyer, M.5
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33947227272
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C. J. Umrigar, J. Toulouse, C. Filippi, S. Sorella, and R. G. Hennig: Phys. Rev. Lett. 98 (2007) 110201.
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Phys. Rev. Lett
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Umrigar, C.J.1
Toulouse, J.2
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18144393124
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M. Capello, F. Becca, M. Fabrizio, S. Sorella, and E. Tosatti: Phys. Rev. Lett. 94 (2005) 026406.
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44
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0004161838
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in C Cambridge University Press, Cambridge, U.K
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W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery: Numerical Recipes in C (Cambridge University Press, Cambridge, U.K., 1993).
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(1993)
Numerical Recipes
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Press, W.H.1
Teukolsky, S.A.2
Vetterling, W.T.3
Flannery, B.P.4
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48
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55449127444
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s ∼ 0.14 irrespective of the boundary conditions.
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s ∼ 0.14 irrespective of the boundary conditions.
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51
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55449102201
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We note that the variational wave function proposed by Baeriswyl [D. Baeriswyl: in Nonlinearity on Condensed Matter, ed. A. R. Bishop et al, Springer, Berlin, 1987 Springer Series in Solis State Sciences 69, p. 183;
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We note that the variational wave function proposed by Baeriswyl [D. Baeriswyl: in Nonlinearity on Condensed Matter, ed. A. R. Bishop et al. (Springer, Berlin, 1987) Springer Series in Solis State Sciences Vol. 69, p. 183;
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52
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36749071551
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is more accurate than our results in small U/t and small cluster systems
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D. Eichenberger and D. Baeriswyl: Phys. Rev. B 76 (2007) 180504] is more accurate than our results in small U/t and small cluster systems.
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Phys. Rev. B
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, pp. 180504
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Eichenberger, D.1
Baeriswyl, D.2
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53
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55449108882
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The relative error of energy is about 0.25% for U/t, 4, Ns, 10, and n, 1 [H. Otsuka: J. Phys. Soc. Jpn. 61 (1992) 1645, However, the errors of this wave function are rapidly enhanced when U/t or Ns increases. The errors in the above paper are about 13 and 2% for (U/t, Ns, n, 20, 10, 1) and (4, 64, 1) systems, respectively. On the other hand, our results are 2 and 0.8% for (U/t, Ns, n, 20, 16, 1) and (4, 64, 1) systems, respectively. It is difficult to improve systematically by introducing additional Gutzwiller-Jastrow factors, because the MC sampling of the former is based on the Stratonovich-Hubbard transformation. Our improvements offer accurate variational wave functions even in systems with large U/t and/or geometrical frustration effects
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s, n) = (20, 16, 1) and (4, 64, 1) systems, respectively. It is difficult to improve systematically by introducing additional Gutzwiller-Jastrow factors, because the MC sampling of the former is based on the Stratonovich-Hubbard transformation. Our improvements offer accurate variational wave functions even in systems with large U/t and/or geometrical frustration effects.
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60
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41449092977
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Algebra and formulae are collected in M. Bajdich, L. Mitas, L. K. Wagner, and K. E. Schmidt: Phys. Rev. B 77 (2008) 115112.
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Algebra and formulae are collected in M. Bajdich, L. Mitas, L. K. Wagner, and K. E. Schmidt: Phys. Rev. B 77 (2008) 115112.
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61
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84910870439
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Sur les déterminants gauches
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in French
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A. Cayley: Sur les déterminants gauches, J. Reine Angew. Math. 38 (1849) 93 [in French];
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, pp. 93
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Cayley, A.1
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62
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55449090275
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reprinted in The Collected Mathematical Papers of Arthur Cayley (Cambridge University Press, Cambridge, U.K., 1889) 1, p. 410.
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reprinted in The Collected Mathematical Papers of Arthur Cayley (Cambridge University Press, Cambridge, U.K., 1889) Vol. 1, p. 410.
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