Abstract
Stochastic Series Expansion is an efficient alternative to path integral quantum Monte Carlo techniques of the world-line type. The method is based on a Taylor expansion of the partition function, resulting in a discrete sampling space of states and operators. Results exact to within statistical errors can be obtained for a large class of models. Here an implementation for the S = 1/2 Heisenberg model is described, including a recently developed cluster update.
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References
A.W. Sandvik and J. Kurkijärvi: Phys. Rev. B 43, 5950 (1991).
A.W. Sandvik: J. Phys. A 25, 3667 (1992).
D.C. Handscomb: Proc. Cambridge Philos. Soc. 58, 594 (1962); 60, 115 (1964); J.W. Lyklema: Phys. Rev. Lett. 49, 88 (1982); H. Lee, J.D. Joannopoulos, and J.W. Negele: Phys. Rev. B 30, 1599 (1984).
J.E. Hirsch, R.L. Sugar, D.J. Scalapino and R. Blankenbecler: Phys. Rev. B 26, 5033 (1982).
A.W. Sandvik: Phys. Rev. B 59, R14157 (1999).
B.B. Beard and U.-J Wiese: Phys. Rev. Lett. 77, 5130 (1996).
N.V. Prokof’ev, B.V. Svistunov, and I.S. Tupitsyn: Zh. Eks. Teor. Piz. 64, 853 (1996); Sov. Phys. JETP 87, 310 (1998).
A.W. Sandvik, R.R.P. Singh, and D.K. Campbell: Phys. Rev. B 59, 4665 (1997).
A.W. Sandvik: Phys. Rev. B 56, 11678 (1997).
N. Kawashima, J.E. Gubernatis, and H. Evertz: Phys. Rev. B 50, 136 (1994).
H.G. Evertz, G. Lana, and M. Marcu: Phys. Rev. Lett. 70, 875 (1993).
A.W. Sandvik: Phys. Rev. Lett. 83, 3069 (1999); P.V. Shevchenko, A.W. Sandvik, and O.P. Sushkov: Phys. Rev. B, 61, 3475 (2000); S. Wessel, B. Normand, M. Sigrist, and S. Haas: Phys. Rev. Lett. 86, 1086 (2001).
A.W. Sandvik and C.J. Hamer: Phys. Rev. B 60, 6588 (1999).
P. Sengupta, A.W. Sandvik, and D.K. Campbell: Phys. Rev. B 65, 155113 (2002).
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Sandvik, A.W. (2002). The Stochastic Series Expansion Method for Quantum Lattice Models. In: Landau, D.P., Lewis, S.P., Schüttler, HB. (eds) Computer Simulation Studies in Condensed-Matter Physics XIV. Springer Proceedings in Physics, vol 89. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-59406-9_23
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DOI: https://doi.org/10.1007/978-3-642-59406-9_23
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-63967-8
Online ISBN: 978-3-642-59406-9
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