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18 - Dynamical Correlation Functions

Published online by Cambridge University Press:  18 January 2024

Tao Xiang
Affiliation:
Chinese Academy of Sciences, Beijing
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Summary

This chapter presents the methods of calculating dynamical correlation functions, including the continued-fraction expansion, Lanczos-DMRG, Lanczos-MPS, Chebyshev-MPS, correction vector, conjugate gradient, and dynamical DMRG methods. In the practical application of the Lanczos-MPS or Chebyshev-MPS method, a reorthogonalization scheme is introduced to optimize all the MPS generated with these methods. As an example of application, we investigate the dynamical spectra of the spin-1/2 Heisenberg model using the Chebyshev-MPS method.

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Publisher: Cambridge University Press
Print publication year: 2023

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  • Dynamical Correlation Functions
  • Tao Xiang, Chinese Academy of Sciences, Beijing
  • Book: Density Matrix and Tensor Network Renormalization
  • Online publication: 18 January 2024
  • Chapter DOI: https://doi.org/10.1017/9781009398671.019
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  • Dynamical Correlation Functions
  • Tao Xiang, Chinese Academy of Sciences, Beijing
  • Book: Density Matrix and Tensor Network Renormalization
  • Online publication: 18 January 2024
  • Chapter DOI: https://doi.org/10.1017/9781009398671.019
Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • Dynamical Correlation Functions
  • Tao Xiang, Chinese Academy of Sciences, Beijing
  • Book: Density Matrix and Tensor Network Renormalization
  • Online publication: 18 January 2024
  • Chapter DOI: https://doi.org/10.1017/9781009398671.019
Available formats
×