Density-matrix renormalization group algorithm for non-Hermitian systems

• DOI: 10.48550/arxiv.2401.15000
• Publication Date: 2024-01-26
• Authors: Peigeng Zhong; Wei Pan; Hai‐Qing Lin; Xiaoqun Wang; Shijie Hu
• Keywords: Matrix (chemical analysis)

A biorthonormal-block density-matrix renormalization group algorithm is proposed to compute properties of non-Hermitian many-body systems, in which a structured low-rank approximation reduced density matrix implemented fulfill the prerequisite for biorthonormality transformation and optimally construct saved space as well. redundancy assigned exploited reduce condition number resulting from left right matrices, thus ensuring numerical stability procedure. The successfully applied an interacting fermionic Su-Schrieffer-Heeger model with both nonreciprocal hoppings staggered complex chemical potential, exhibiting novel phenomena ground-state phase diagram.