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Volumn 44, Issue 17, 1991, Pages 9410-9417

Fixed-node Monte Carlo study of the two-dimensional Hubbard model

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0038858927 PISSN: 01631829 EISSN: None Source Type: Journal
DOI: 10.1103/PhysRevB.44.9410 Document Type: Article

Times cited : (32)

References (22)

1
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- (1990) Phys. Rev. B , vol.41 , pp. 4552
- Trivedi, N.¹ Ceperley, D.M.²

4
- 2842556347
- For reviews of the Green-function MC and fixed-node MC applied to continuum case, see, edited by, K. Binder, Springer-Verlag, Berlin
- (1979) Monte Carlo Methods in Statistical Physics
- Ceperley, D.M.¹ Kalos, M.H.²

6
- 0001662278
- (1989) Phys. Rev. B , vol.39 , pp. 9749
- Poilblanc, D.¹ Rice, T.M.²

7
- 0001028970
- Domain walls in a doped antiferromagnet
- (1989) Journal de Physique , vol.50 , pp. 2833
- Schulz, H.J.¹

9
- 0000697334
- (1989) Phys. Rev. B , vol.40 , pp. 7391
- Zaanen, J.¹ Gunnarsson, O.²

10
- 0000885142
- (1990) Phys. Rev. B , vol.42 , pp. 10641
- Giamarchi, T.¹ Lhuillier, C.²

15
- 84927823323
- In continuous space, F would have to be chosen as exp (- τ H) or (H -w)-1 due to the need for F to be a bounded operator.

16
- 0009410509
- (1976) J. Chem. Phys. , vol.64 , pp. 4811
- Klein, D.J.¹ Pickett, H.M.²

17
- 84927823322
- Other continuation of the wave function ψ (R) outside the region V is conceivable. For example, one could take ψ (R)= ψT(R) for R member V. The problem is that we no longer have an eigenvalue equation.

19
- 84927823321
- In the continuum case, we have H ψ hat (R) = curlep ψ hat (R), except on the nodal surface where ψT(R) =0. The second term in the right-hand side of (36) does not appear. Hence EF= curlep = E. The equality EF=E guarantees that EF is an upper bound to the true ground-state energy, while in the discrete case (35) remains a so-called mixed estimator of the ground-state energy since H is sandwiched between two different states. A general inequality between EF and the true ground-state energy could not be established in the discrete case.

22
- 0003455709
- For a review on the Trotter-formula plus auxiliary-field approach to the quantum MC study of lattice fermion systems and its problems, see, edited by, K. Binder, (Springer-Verlag, Berlin, in press).
- The Monte Carlo Method in Condensed Matter Physics
- De Raedt, H.¹ von der Linden, W.²

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