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A new approximating method for holstein model

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Abstract

A new approach—the method of coherent state orthogonal expansion is developed for one-dimensional Holstein model. In zeroth order approximation, the formula of ground state energy is deduced analytically and the solutions in strong- and weak-coupling limits are obtained correctly. When the trial wave-function of ground state is expanded to the second order, the obtained ground state energy agrees quite well with that calculated by numerical method in all coupling regimes. The present approach can be easily generalized to the situations of higher dimensions and more electrons.

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Authors and Affiliations

  1. School of Science, Southwest University of Science and Technology, Mian Yang, 621010, China

    XueZao Ren, Xu Liao & Lei Li

  2. Department of Modern Physics, University of Science and Technology of China, Hefei, 230026, China

    KeLin Wang

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  1. XueZao Ren
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  2. Xu Liao
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  3. Lei Li
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  4. KeLin Wang
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Correspondence to XueZao Ren.

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Ren, X., Liao, X., Li, L. et al. A new approximating method for holstein model. Sci. China Phys. Mech. Astron. 53, 44–48 (2010). https://doi.org/10.1007/s11433-010-0104-3

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  • DOI: https://doi.org/10.1007/s11433-010-0104-3

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