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Physical Review B - Condensed Matter and Materials Physics

Volumn 82, Issue 2, 2010, Pages

Loop updates for variational and projector quantum Monte Carlo simulations in the valence-bond basis

(2) Sandvik, Anders W a Evertz, Hans Gerd b

a Boston University (United States)

b GRAZ UNIVERSITY OF TECHNOLOGY (Austria)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 77956556564 PISSN: 10980121 EISSN: 1550235X Source Type: Journal
DOI: 10.1103/PhysRevB.82.024407 Document Type: Article

Times cited : (160)

References (54)

1
- 3342938053
- 10.1103/PhysRevLett.70.875
- H. G. Evertz, G. Lana, and M. Marcu, Phys. Rev. Lett. 70, 875 (1993). 10.1103/PhysRevLett.70.875
- (1993) Phys. Rev. Lett. , vol.70 , pp. 875
- Evertz, H.G.¹ Lana, G.² Marcu, M.³

2
- 0037980761
- 10.1080/0001873021000049195
- H. G. Evertz, Adv. Phys. 52, 1 (2003). 10.1080/0001873021000049195
- (2003) Adv. Phys. , vol.52 , pp. 1
- Evertz, H.G.¹

3
- 0000692917
- 10.1103/PhysRevLett.73.1295
- N. Kawashima and J. E. Gubernatis, Phys. Rev. Lett. 73, 1295 (1994). 10.1103/PhysRevLett.73.1295
- (1994) Phys. Rev. Lett. , vol.73 , pp. 1295
- Kawashima, N.¹ Gubernatis, J.E.²

4
- 3342962236
- 10.1103/PhysRevLett.77.5130
- B. B. Beard and U.-J. Wiese, Phys. Rev. Lett. 77, 5130 (1996). 10.1103/PhysRevLett.77.5130
- (1996) Phys. Rev. Lett. , vol.77 , pp. 5130
- Beard, B.B.¹ Wiese, U.-J.²

5
- 0000715040
- 10.1103/PhysRevB.59.R14157
- A. W. Sandvik, Phys. Rev. B 59, R14157 (1999). 10.1103/PhysRevB.59.R14157
- (1999) Phys. Rev. B , vol.59 , pp. 14157
- Sandvik, A.W.¹

6
- 0001253269
- N. V. Prokofév, B. V. Svistunov, and I. S. Tupitsyn, Zh. Eksp. Teor. Fiz. 114, 570 (1998)
- (1998) Zh. Eksp. Teor. Fiz. , vol.114 , pp. 570
- Prokofév, N.V.¹ Svistunov, B.V.² Tupitsyn, I.S.³

7
- 0012619077
- N. V. Prokofév, B. V. Svistunov, and I. S. Tupitsyn, [JETP 87, 311 (1998)].
- (1998) JETP , vol.87 , pp. 311
- Prokofév, N.V.¹ Svistunov, B.V.² Tupitsyn, I.S.³

8
- 41349121313
- 10.1103/PhysRevE.66.046701
- O. F. Syljuåsen and A. W. Sandvik, Phys. Rev. E 66, 046701 (2002). 10.1103/PhysRevE.66.046701
- (2002) Phys. Rev. e , vol.66 , pp. 046701
- Syljuåsen, O.F.¹ Sandvik, A.W.²

9
- 0000762113
- 10.1143/PTP.58.1377
- M. Suzuki, S. Miyashita, and A. Kuroda, Prog. Theor. Phys. 58, 1377 (1977). 10.1143/PTP.58.1377
- (1977) Prog. Theor. Phys. , vol.58 , pp. 1377
- Suzuki, M.¹ Miyashita, S.² Kuroda, A.³

10
- 24444466816
- 10.1103/PhysRevB.26.5033
- J. E. Hirsch, R. L. Sugar, D. J. Scalapino, and R. Blankenbecler, Phys. Rev. B 26, 5033 (1982). 10.1103/PhysRevB.26.5033
- (1982) Phys. Rev. B , vol.26 , pp. 5033
- Hirsch, J.E.¹ Sugar, R.L.² Scalapino, D.J.³ Blankenbecler, R.⁴

11
- 0001141353
- 10.1103/PhysRevB.43.5950
- A. W. Sandvik and J. Kurkijärvi, Phys. Rev. B 43, 5950 (1991). 10.1103/PhysRevB.43.5950
- (1991) Phys. Rev. B , vol.43 , pp. 5950
- Sandvik, A.W.¹ Kurkijärvi, J.²

12
- 0000704713
- 10.1103/PhysRevB.37.5978
- J. D. Reger and A. P. Young, Phys. Rev. B 37, 5978 (1988). 10.1103/PhysRevB.37.5978
- (1988) Phys. Rev. B , vol.37 , pp. 5978
- Reger, J.D.¹ Young, A.P.²

13
- 0000987427
- 10.1103/PhysRevB.56.11678
- A. W. Sandvik, Phys. Rev. B 56, 11678 (1997). 10.1103/PhysRevB.56.11678
- (1997) Phys. Rev. B , vol.56 , pp. 11678
- Sandvik, A.W.¹

14
- 4243988784
- 10.1103/PhysRevLett.76.3822
- M. Troyer, H. Kontani, and K. Ueda, Phys. Rev. Lett. 76, 3822 (1996). 10.1103/PhysRevLett.76.3822
- (1996) Phys. Rev. Lett. , vol.76 , pp. 3822
- Troyer, M.¹ Kontani, H.² Ueda, K.³

15
- 33144463106
- 10.1103/PhysRevB.73.014431
- L. Wang, K. S. D. Beach, and A. W. Sandvik, Phys. Rev. B 73, 014431 (2006). 10.1103/PhysRevB.73.014431
- (2006) Phys. Rev. B , vol.73 , pp. 014431
- Wang, L.¹ Beach, K.S.D.² Sandvik, A.W.³

16
- 52949114969
- 10.1103/PhysRevLett.101.127202
- S. Wenzel, L. Bogacz, and W. Janke, Phys. Rev. Lett. 101, 127202 (2008). 10.1103/PhysRevLett.101.127202
- (2008) Phys. Rev. Lett. , vol.101 , pp. 127202
- Wenzel, S.¹ Bogacz, L.² Janke, W.³

17
- 77956503954
- arXiv:0906.2539 (unpublished)
- F. Jiang and U. Gerber, arXiv:0906.2539 (unpublished).
- Jiang, F.¹ Gerber, U.²

18
- 34547324407
- 10.1103/PhysRevLett.98.227202
- A. W. Sandvik, Phys. Rev. Lett. 98, 227202 (2007). 10.1103/PhysRevLett. 98.227202
- (2007) Phys. Rev. Lett. , vol.98 , pp. 227202
- Sandvik, A.W.¹

19
- 40749083214
- 10.1103/PhysRevLett.100.017203
- R. G. Melko and R. K. Kaul, Phys. Rev. Lett. 100, 017203 (2008). 10.1103/PhysRevLett.100.017203
- (2008) Phys. Rev. Lett. , vol.100 , pp. 017203
- Melko, R.G.¹ Kaul, R.K.²

20
- 40549120309
- 10.1088/1742-5468/2008/02/P02009
- F.-J. Jiang, M. Nyfeler, S. Chandrasekharan, and U.-J. Wiese, J. Stat. Mech.: Theory Exp. (2008) P02009. 10.1088/1742-5468/2008/02/P02009
- J. Stat. Mech.: Theory Exp. , vol.2008 , pp. 02009
- Jiang, F.-J.¹ Nyfeler, M.² Chandrasekharan, S.³ Wiese, U.-J.⁴

21
- 28844491617
- 10.1103/PhysRevLett.95.207203
- A. W. Sandvik, Phys. Rev. Lett. 95, 207203 (2005). 10.1103/PhysRevLett. 95.207203
- (2005) Phys. Rev. Lett. , vol.95 , pp. 207203
- Sandvik, A.W.¹

22
- 0003867980
- in edited by D. P. Landau, S. P. Lewis, and H.-B. Schüttler (Springer-Verlag, Berlin
- A. Sandvik and K. Beach, in Computer Simulation Studies in Condensed Matter Physics XX, edited by, D. P. Landau,,, S. P. Lewis,, and, H.-B. Schüttler, (Springer-Verlag, Berlin, 2010).
- (2010) Computer Simulation Studies in Condensed Matter Physics XX
- Sandvik, A.¹ Beach, K.²

23
- 21344483171
- 10.1007/BF02108805
- M. Aizenman and B. Nachtergaele, Commun. Math. Phys. 164, 17 (1994). 10.1007/BF02108805
- (1994) Commun. Math. Phys. , vol.164 , pp. 17
- Aizenman, M.¹ Nachtergaele, B.²

24
- 4143101800
- 10.1103/PhysRevLett.61.365
- S. Liang, B. Doucot, and P. W. Anderson, Phys. Rev. Lett. 61, 365 (1988). 10.1103/PhysRevLett.61.365
- (1988) Phys. Rev. Lett. , vol.61 , pp. 365
- Liang, S.¹ Doucot, B.² Anderson, P.W.³

25
- 34848868463
- 10.1103/PhysRevB.76.104432
- J. Lou and A. W. Sandvik, Phys. Rev. B 76, 104432 (2007). 10.1103/PhysRevB.76.104432
- (2007) Phys. Rev. B , vol.76 , pp. 104432
- Lou, J.¹ Sandvik, A.W.²

26
- 0000778807
- 10.1103/PhysRevB.42.6555
- S. Liang, Phys. Rev. B 42, 6555 (1990). 10.1103/PhysRevB.42.6555
- (1990) Phys. Rev. B , vol.42 , pp. 6555
- Liang, S.¹

27
- 0001090207
- 10.1103/PhysRevLett.83.3065
- G. Santoro, S. Sorella, L. Guidoni, A. Parola, and E. Tosatti, Phys. Rev. Lett. 83, 3065 (1999). 10.1103/PhysRevLett.83.3065
- (1999) Phys. Rev. Lett. , vol.83 , pp. 3065
- Santoro, G.¹ Sorella, S.² Guidoni, L.³ Parola, A.⁴ Tosatti, E.⁵

28
- 0038353928
- 10.1016/S0550-3213(03)00350-X
- D. H. Adam's and S. Chandrasekharan, Nucl. Phys. B 662, 220 (2003). 10.1016/S0550-3213(03)00350-X
- (2003) Nucl. Phys. B , vol.662 , pp. 220
- Adam's, D.H.¹ Chandrasekharan, S.²

29
- 33645506277
- 10.1103/PhysRevB.73.144504
- A. W. Sandvik and R. Moessner, Phys. Rev. B 73, 144504 (2006). 10.1103/PhysRevB.73.144504
- (2006) Phys. Rev. B , vol.73 , pp. 144504
- Sandvik, A.W.¹ Moessner, R.²

30
- 0001208964
- 10.1103/PhysRevB.37.3786
- B. Sutherland, Phys. Rev. B 37, 3786 (1988). 10.1103/PhysRevB.37.3786
- (1988) Phys. Rev. B , vol.37 , pp. 3786
- Sutherland, B.¹

31
- 33745982919
- 10.1016/j.nuclphysb.2006.05.032
- K. S. D. Beach and A. W. Sandvik, Nucl. Phys. B 750, 142 (2006). 10.1016/j.nuclphysb.2006.05.032
- (2006) Nucl. Phys. B , vol.750 , pp. 142
- Beach, K.S.D.¹ Sandvik, A.W.²

32
- 5244336186
- 10.1103/PhysRevLett.62.361
- U. Wolff, Phys. Rev. Lett. 62, 361 (1989). 10.1103/PhysRevLett.62.361
- (1989) Phys. Rev. Lett. , vol.62 , pp. 361
- Wolff, U.¹

33
- 0942278425
- Similar bond-selection procedures are used in SSE simulations of models with long-range interactions;, 10.1103/PhysRevE.68.056701
- Similar bond-selection procedures are used in SSE simulations of models with long-range interactions; A. W. Sandvik, Phys. Rev. E 68, 056701 (2003). 10.1103/PhysRevE.68.056701
- (2003) Phys. Rev. e , vol.68 , pp. 056701
- Sandvik, A.W.¹

34
- 77956506875
- In Ref., a "directed loop" scheme was used for classical dimers with restriction to short bonds (of two different lengths). In that case, there are no bond updates in which a bond does not move (i.e., in which the generated bond is the same as the current one). However, this approach is not practical when there is no restriction on the bond lengths (as is required in the overcomplete VB basis). The probability of not moving a bond is low and, in practice, the scheme of bond selection from a single list with all bonds is still very efficient
- In Ref., a "directed loop" scheme was used for classical dimers with restriction to short bonds (of two different lengths). In that case, there are no bond updates in which a bond does not move (i.e., in which the generated bond is the same as the current one). However, this approach is not practical when there is no restriction on the bond lengths (as is required in the overcomplete VB basis). The probability of not moving a bond is low and, in practice, the scheme of bond selection from a single list with all bonds is still very efficient.

35
- 34548708487
- 10.1103/PhysRevLett.99.117204
- F. Alet, S. Capponi, N. Laflorencie, and M. Mambrini, Phys. Rev. Lett. 99, 117204 (2007). 10.1103/PhysRevLett.99.117204
- (2007) Phys. Rev. Lett. , vol.99 , pp. 117204
- Alet, F.¹ Capponi, S.² Laflorencie, N.³ Mambrini, M.⁴

36
- 35348970867
- 10.1103/PhysRevLett.99.167204
- R. W. Chhajlany, P. Tomczak, and A. Wójcik, Phys. Rev. Lett. 99, 167204 (2007). 10.1103/PhysRevLett.99.167204
- (2007) Phys. Rev. Lett. , vol.99 , pp. 167204
- Chhajlany, R.W.¹ Tomczak, P.² Wójcik, A.³

37
- 77950908909
- 10.1103/PhysRevLett.104.157201
- M. B. Hastings, I. Gonzalez, A. B. Kallin, and R. G. Melko, Phys. Rev. Lett. 104, 157201 (2010). 10.1103/PhysRevLett.104.157201
- (2010) Phys. Rev. Lett. , vol.104 , pp. 157201
- Hastings, M.B.¹ Gonzalez, I.² Kallin, A.B.³ Melko, R.G.⁴

38
- 34648843592
- 10.1103/PhysRevLett.99.127004
- S. R. White and A. L. Chernyshev, Phys. Rev. Lett. 99, 127004 (2007). 10.1103/PhysRevLett.99.127004
- (2007) Phys. Rev. Lett. , vol.99 , pp. 127004
- White, S.R.¹ Chernyshev, A.L.²

39
- 0000830874
- 10.1103/PhysRevLett.80.1742
- B. B. Beard, R. J. Birgeneau, M. Greven, and U.-J. Wiese, Phys. Rev. Lett. 80, 1742 (1998). 10.1103/PhysRevLett.80.1742
- (1998) Phys. Rev. Lett. , vol.80 , pp. 1742
- Beard, B.B.¹ Birgeneau, R.J.² Greven, M.³ Wiese, U.-J.⁴

40
- 68949090656
- 10.1103/PhysRevB.79.224431
- K. S. D. Beach, Phys. Rev. B 79, 224431 (2009). 10.1103/PhysRevB.79. 224431
- (2009) Phys. Rev. B , vol.79 , pp. 224431
- Beach, K.S.D.¹

41
- 77956496293
- arXiv:0807.0682 (unpublished)
- A. Sandvik and H. Evertz, arXiv:0807.0682 (unpublished).
- Sandvik, A.¹ Evertz, H.²

42
- 65449145961
- 10.1088/1742-5468/2009/03/P03021
- U. Gerber, P. Hofmann, F.-J. Jiang, M. Nyfeler, and U.-J. Wiese, J. Stat. Mech.: Theory Exp. (2009) P03021. 10.1088/1742-5468/2009/03/P03021
- J. Stat. Mech.: Theory Exp. , vol.2009 , pp. 03021
- Gerber, U.¹ Hofmann, P.² Jiang, F.-J.³ Nyfeler, M.⁴ Wiese, U.-J.⁵

43
- 0008473437
- 10.1143/JPSJ.60.3669
- N. Furukawa and M. Imada, J. Phys. Soc. Jpn. 60, 3669 (1991). 10.1143/JPSJ.60.3669
- (1991) J. Phys. Soc. Jpn. , vol.60 , pp. 3669
- Furukawa, N.¹ Imada, M.²

44
- 4244179927
- 10.1103/PhysRevB.63.073105
- M. Feldbacher and F. F. Assaad, Phys. Rev. B 63, 073105 (2001). 10.1103/PhysRevB.63.073105
- (2001) Phys. Rev. B , vol.63 , pp. 073105
- Feldbacher, M.¹ Assaad, F.F.²

45
- 77956545354
- Y.-C. Lin and A. W. Sandvik, arXiv:1005.0821
- Y.-C. Lin and A. W. Sandvik, arXiv:1005.0821

46
- 0038304100
- 10.1103/PhysRevLett.90.117203
- K. Harada, N. Kawashima, and M. Troyer, Phys. Rev. Lett 90, 117203 (2003). 10.1103/PhysRevLett.90.117203
- (2003) Phys. Rev. Lett , vol.90 , pp. 117203
- Harada, K.¹ Kawashima, N.² Troyer, M.³

47
- 73249148045
- 10.1103/PhysRevB.80.184401
- K. S. D. Beach, F. Alet, M. Mambrini, and S. Capponi, Phys. Rev. B 80, 184401 (2009). 10.1103/PhysRevB.80.184401
- (2009) Phys. Rev. B , vol.80 , pp. 184401
- Beach, K.S.D.¹ Alet, F.² Mambrini, M.³ Capponi, S.⁴

48
- 77956513063
- arXiv:0909.0038 (unpublished)
- H. Tran and N. Bonesteel, arXiv:0909.0038 (unpublished).
- Tran, H.¹ Bonesteel, N.²

49
- 77954746374
- 10.1103/PhysRevB.80.212406
- J. Lou and A. W. Sandvik, Phys. Rev. B 80, 212406 (2009). 10.1103/PhysRevB.80.212406
- (2009) Phys. Rev. B , vol.80 , pp. 212406
- Lou, J.¹ Sandvik, A.W.²

50
- 73649125325
- 10.1103/PhysRevB.80.180414
- J. Lou, A. W. Sandvik, and N. Kawashima, Phys. Rev. B 80, 180414 (R) (2009). 10.1103/PhysRevB.80.180414
- (2009) Phys. Rev. B , vol.80 , pp. 180414
- Lou, J.¹ Sandvik, A.W.² Kawashima, N.³

51
- 77956504924
- Ph.D. thesis, Boston University
- J. Lou, Ph.D. thesis, Boston University, 2009.
- (2009)
- Lou, J.¹

52
- 77956504285
- arXiv:1002.1375 (unpublished)
- A. Banerjee, K. Damle, and F. Alet, arXiv:1002.1375 (unpublished).
- Banerjee, A.¹ Damle, K.² Alet, F.³

53
- 77954779725
- 10.1103/PhysRevB.81.054417
- L. Wang and A. W. Sandvik, Phys. Rev. B 81, 054417 (2010). 10.1103/PhysRevB.81.054417
- (2010) Phys. Rev. B , vol.81 , pp. 054417
- Wang, L.¹ Sandvik, A.W.²

54
- 0001448245
- 10.1103/PhysRevB.40.2737
- N. Trivedi and D. M. Ceperley, Phys. Rev. B 40, 2737 (1989). 10.1103/PhysRevB.40.2737
- (1989) Phys. Rev. B , vol.40 , pp. 2737
- Trivedi, N.¹ Ceperley, D.M.²

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