Chem. J. Chinese Universities ›› 2020, Vol. 41 ›› Issue (12): 2610.doi: 10.7503/cjcu20200767

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Frequency Domain Density Matrix Renormalization Group

JIANG Tong, REN Jiajun, SHUAI Zhigang()   

  1. Key Laboratory of Organic OptoElectronics and Molecular Engineering,Ministry of Education,Department of Chemistry,Tsinghua University,Beijing 100084,China
  • Received:2020-10-22 Online:2020-12-10 Published:2020-12-09
  • Contact: SHUAI Zhigang E-mail:zgshuai@tsinghua.edu.cn
  • Supported by:
    ? Supported by the National Natural Science Foundation of China(21788102);the National Key Research and Development Program of China(2017YFA0204501)

Abstract:

Density matrix renormalization group(DMRG) has been developed for electron correlation in low-dimensional system and has been quickly applied to quantum chemistry as a powerful method for electronic structure calculation and for quantum dynamics of complex system. After more than 20 years of development, a series of effective methods for calculating dynamic response properties within DMRG have been developed and have been extensively applied for spectroscopy. We will first briefly describe the main features of DMRG, including its matrix product state(MPS) formulation. Based on the linear response theory, we focus on descri-bing the DMRG algorithms in frequency domain to solve the response properties both for zero temperature and finite temperature. We then introduce several most relevant applications in electronic correlation problems and electron-phonon correlation problems.

Key words: Density matrix renormalization group(DMRG), Matrix product state, Linear response property, Molecular aggregate, Electron-phonon coupling(Ed.: Y, K, S)

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