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Computer Physics Communications

Path-integral renormalization group method with quantum-number projection

T. Mizusaki, Masatoshi Imada

Published Apr 14, 2005• 0 citations
Publisher
DOI
10.1016/j.cpc.2005.03.090

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We present a quantum-number projection technique which enables us to exactly treat spin, momentum, and other symmetries embedded in the Hubbard model. By combining this projection technique, we extend the path-integral renormalization-group method to improve the efficiency of numerical computations. By taking numerical calculations for the standard Hubbard model and the Hubbard model with next-nearest-neighbor transfer, we show that the present extended method can extremely enhance numerical accuracy and that it can handle excited states, in addition to the ground state.
Recently proposed two methods such as Quantum Monte Carlo Diagonalization method in nuclear structure physics and path-integral renormalization group method in condensed matter physics have a similarity as quantum many-body approach, especially in description beyond mean-field approximation. As these two methods have been developed in different fields, there are significant differences as quantum-number projection technique in former method and extrapolation technique in latter method. As these techniques are independent of details of considered system, these can be applied to other fields. In this paper, we discuss how to apply such extrapolation technique to shell model calculations and discuss how to apply quantum-number projection to path-integral renormalization group method.