Dynamical density-matrix renormalization-group method

Abstract

I present a density-matrix renormalization-group (DMRG) method for calculating dynamical properties and excited states in low-dimensional lattice quantum many-body systems. The method is based on an exact variational principle for dynamical correlation functions and the excited states contributing to them. This dynamical DMRG is an alternate formulation of the correction vector DMRG but is both simpler and more accurate. The finite-size scaling of spectral functions is discussed and a method for analyzing the scaling of dense spectra is described. The key idea of the method is a size-dependent broadening of the spectrum.The dynamical DMRG and the finite-size scaling analysis are demonstrated on the optical conductivity of the one-dimensional Peierls-Hubbard model. Comparisons with analytical results show that the spectral functions of infinite systems can be reproduced almost exactly with these techniques. The optical conductivity of the Mott-Peierls insulator is investigated and it is shown that its spectrum is qualitatively different from the simple spectra observed in Peierls (band) insulators and one-dimensional Mott-Hubbard insulators.

16 pages (REVTEX 4.0), 10 figures (in 13 EPS files)

References in corpus (1)

• Excitons in one-dimensional Mott insulators

Cited by in corpus (267)

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• Spin order, spin excitations, and RIXS spectra of spin-1/2 tetramer chains
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• Scan calculation of the density of states: real space cluster perturbation theory applied to inhomogeneous Hubbard model in one dimension