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Volumn 77, Issue 11, 2008, Pages

Variational Monte Carlo method combined with quantum-number projection and multi-variable optimization

Author keywords

Hubbard model; Quantumnumber projection; Stochastic reconfiguration method; Strongly correlated electron systems; Variational Monte Carlo method

Indexed keywords


EID: 55449095804     PISSN: 00319015     EISSN: 13474073     Source Type: Journal    
DOI: 10.1143/JPSJ.77.114701     Document Type: Article
Times cited : (198)

References (63)
  • 48
    • 55449127444 scopus 로고    scopus 로고
    • s ∼ 0.14 irrespective of the boundary conditions.
    • s ∼ 0.14 irrespective of the boundary conditions.
  • 51
    • 55449102201 scopus 로고    scopus 로고
    • 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;
    • 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;
  • 52
    • 36749071551 scopus 로고    scopus 로고
    • is more accurate than our results in small U/t and small cluster systems
    • 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.
    • (2007) Phys. Rev. B , vol.76 , pp. 180504
    • Eichenberger, D.1    Baeriswyl, D.2
  • 53
    • 55449108882 scopus 로고    scopus 로고
    • 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
    • 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.
  • 60
    • 41449092977 scopus 로고    scopus 로고
    • Algebra and formulae are collected in M. Bajdich, L. Mitas, L. K. Wagner, and K. E. Schmidt: Phys. Rev. B 77 (2008) 115112.
    • Algebra and formulae are collected in M. Bajdich, L. Mitas, L. K. Wagner, and K. E. Schmidt: Phys. Rev. B 77 (2008) 115112.
  • 61
    • 84910870439 scopus 로고
    • Sur les déterminants gauches
    • in French
    • A. Cayley: Sur les déterminants gauches, J. Reine Angew. Math. 38 (1849) 93 [in French];
    • (1849) J. Reine Angew. Math , vol.38 , pp. 93
    • Cayley, A.1
  • 62
    • 55449090275 scopus 로고    scopus 로고
    • reprinted in The Collected Mathematical Papers of Arthur Cayley (Cambridge University Press, Cambridge, U.K., 1889) 1, p. 410.
    • reprinted in The Collected Mathematical Papers of Arthur Cayley (Cambridge University Press, Cambridge, U.K., 1889) Vol. 1, p. 410.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.