Abstract
This paper discusses the method of projecting out the groundstate of an interacting fermion system using propagation of a trial state in imaginary-time, with particle interactions represented exactly by the auxiliary-field (Hubbard-Stratonovitch) approach. The required sampling of auxiliary-fields using the hybrid molecular-dynamics-Monte-Carlo method is discussed and a novel feature of its sampling auto-correlation behaviour is presented. The connection between the imaginary-time propagation of states and the autocorrelation of auxiliary-field sampling is discussed. In particular, “sticking” behaviour of the auxiliary-field sampling is related to propagation of states in imaginary-time near distinct mean-field solutions.
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© 1993 Springer-Verlag Berlin Heidelberg
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Fahy, S. (1993). Ground-State Projection with Auxiliary Fields: Imaginary-Time and Simulation-Time Dynamics. In: Landau, D.P., Mon, K.K., Schüttler, HB. (eds) Computer Simulation Studies in Condensed-Matter Physics VI. Springer Proceedings in Physics, vol 76. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-78448-4_11
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DOI: https://doi.org/10.1007/978-3-642-78448-4_11
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