Density-matrix renormalization group algorithm for non-Hermitian systems
Abstract
A biorthonormal-block density-matrix renormalization group algorithm is proposed to accurately compute properties of large-scale non-Hermitian many-body systems, in which a renormalized-space partition of the non-Hermitian reduced density matrix is implemented to fulfill the prerequisite for the biorthonormality of the renormalization group (RG) transformation and to optimize the construction of saved Hilbert spaces. A redundancy in saved spaces of the reduced density matrix is exploited to reduce a condition number resulting from the non-unitarity of the left and right transformation matrices, in order to ensure the numerical stability of the RG procedure. The algorithm is successfully applied to an interacting fermionic Su-Schrieffer-Heeger model with nonreciprocal hoppings and staggered complex chemical potential, exhibiting novel many-body phenomena.
Keywords
Cite
@article{arxiv.2401.15000,
title = {Density-matrix renormalization group algorithm for non-Hermitian systems},
author = {Peigeng Zhong and Wei Pan and Haiqing Lin and Xiaoqun Wang and Shijie Hu},
journal= {arXiv preprint arXiv:2401.15000},
year = {2025}
}
Comments
5+2+9 pages, 4+8 figures, 1 table