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Staggered Magnetization of the 2D S=1/2 AF Heisenberg Model

This page is a list of calculated staggered magnetization of the 2-dimensional AF Heisenberg model.


M_staggered Method Athleet(s) and References ( arXiv or cond-mat No., Journal Ref. )
-Review- -Review- A. Sandvik, arXiv:1101.3281
0.30743(1) ???? F.-J. Jiang, U.-J. Wiese, arXiv:1011.6205
0.30744(3) Loop U. Gerber, C. P. Hofmann, F.-J. Jiang, M. Nyfeler, U.-J. Wiese, arXiv:0901.0445, J. Stat. Mech. P03021 (2009)
0.30743(1) VBS Loop A. W. Sandvik, H. G. Evertz, arXiv:0807.0682, Phys. Rev. B 82, 024407 (2010)
0.3067 DMRG S.R. White, A.L. Chernyshev, arXiv:0705.2746, Phys. Rev. Lett. 99, 127004 (2007)
0.30797(3) Loop B.B. Beard, R.J. Birgeneau, M. Greven, U.-J. Wiese , cond-mat/9709110, Phys. Rev. Lett. 80, 1742 (1998)
0.3070(3) MC M. Calandra Buonaura and S. Sorella, Phys. Rev. B 57, 11446 (1998)
0.3075(2) SSE A. W. Sandvik, cond-mat/9707123, Phys. Rev. B 56, 11678 (1997)
0.3083(2) Cont. Time Loop B. B. Beard and U.-J. Wiese, cond-mat/9602164, Phys. Rev. Lett. 77, 5130 (1996)
0.311 Exact Diag. H. J. Schulz, T. A. L. Ziman, and D. Poilblanc, J. Physique, cond-mat/9402061, J. Physique, 6, 675 (1996)
0.3074(4) MC U.-J. Wiese and H.-P. Ying, Z. Phys. B93 (1994) 147.
0.3069+-0.0002 Spin Wave C. M. Canali and M. Wallin, Phys. Rev. B 48, 3264 (1993)
0.3069 Spin Wave J. Igarashi, Phys. Rev. B 46, 10763 (1992)
0.307(1) Spin Wave C. J. Hamer, Z. Weihong, and P. Arndt, Phys. Rev. B 46, 6276 (1992)
0.3075+-0.0025 GFMC K. J. Runge, Phys, Rev. B 45, 7229 (1992)
0.307+-0.002 Spin Wave Z. Weihong, J. Oitmaa, C.J. Hamer, Phys, Rev. B 44, 11869 (1991)
0.30068+-?? Spin Wave G.E. Castilla, S. Chakravarty, Phys, Rev. B 43, 13687 (1991)
-Review- -Review- E. Manousakis, Rev. Mod. Phys 63, 1 (1991)
0.304+-0.004 Projector MC S. Liang, Phys. Rev. B 42, 6555 (1990)
0.31(2) GFMC N.Trivedi and D. M. Ceperley, Phys. Rev. B 41, 4552 (1990)
0.3 Fwd. Walking K.J. Runge, R.J. Runge, Quantum Simulations of Condensed Matter Phenomena (World Scientific, 1990)
0.29 Variational MC R. Shanker, G. Murthy Phys. Lett. A 137, 165 (1989)
0.31(2) GFMC N.Trivedi and D. M. Ceperley, Phys. Rev. B 40, 2737 (1989)
(0.57+-0.05)/2 MC M. Gross, E. Sanches-Velasco, and E. Siggia, Phys. Rev. B 39, 2484 (1989)
0.349+-0.002 Variational MC Z. Liu, E. Manousakis Phys. Rev. B 40, 11437 (1989)
0.34+-0.012 MC Carlson, Phys. Rev. B 40, 846 (1989)
(0.605+-0.015)/2 Series Exp. Rajiv R. P. Singh, Phys. Rev. B 39, 9760 (1989)
0.25 Exact Diag. S. Tang, J.E. Hirsch, Phys. Rev. B 39, 4548 (1989)
sqrt(0.029+-0.008) MC Y. Okabe and M. Kikuchi, J. Phys. Soc. Jpn. 57, 4351 (1988)
0.245 Exact Diag. S. Tang, H.Q. Lin, Phys. Rev. B 38, 6863 (1988)
0.30+-0.02 MC J. D. Reger and A. P. Young, Phys. Rev. B 37, 5978 (1988)
0.4 Variational MC D.A. Huse, V. Esler Phys. Rev. Lett 60, 2531 (1988)
0.313 Series Exp. D.A. Huse, Phys. Rev. B 37, 2380 (1988)
sqrt(0.1838/4) MC S. Miyashita, J. Phys. Soc. Jpn. 57, 1934 (1988)
0.43 Variational MC H. Yokoyama, H. Shiba J. Phys. Soc. Jpn. 56, 3570 (1987)
0.243+-0.006 Exact Diag. J. Oitmaa and D.D. Betts, Can. J. Phys. 56, 897 (1978)
0.362 Series Exp. M. Parrinello, T. Arai, Phys. Rev. B 10, 265 (1974)
0.382 Series Exp. H.L. Davis, Phys. Rev. 120, 789 (1960)
0.303 Spin Wave T. Oguchi, Phys. Rev. 117, 117 (1960)
0.303?? Spin Wave P.W. Anderson, Phys. Rev. 86, 694 (1952)

Quiz: Do you know the appropriate references for the Heisenberg Model?

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