Quantum criticality in interacting bosonic Kitaev-Hubbard models

Abstract

Motivated by recent work on the non-Hermitian skin effect in the bosonic Kitaev-Majorana model, we study the interacting bosonic Kitaev-Hubbard models in the hard-core limit for a chain and a two-leg ladder. We show exactly that the non-Hermitian skin effect disappears by transforming hard-core bosonic models to spin-1/2 models. Importantly, we show that hard-core bosons can engineer the Kitaev interaction, the Dzyaloshinskii-Moriya interaction and the compass interaction in the presence of the complex hopping and pairing terms. Quantum phase transitions and quantum criticalities are investigated via the density matrix renormalization group method. This work reveals the effect of many-body interactions on the non-Hermitian skin effect and highlights the power of bosons with pairing terms as a probe for the engineering of interesting models.

Non-Hermitian skin effect in one-dimensional interacting Bose gas

“…Despite extensive investigations, the current studies of the NHSE discussed in the literature mainly focus on the singleparticle level, such as non-Hermitian topological bands or non-Hermitian quasicrystals. In contrast, the research on NHSE in interacting systems is in its infancy [94][95][96][97], which just involves few-body calculation [93], exact diagonalization study [94][95][96], perturbation theory [97], and hard-core limit [98]. The NHSE in exactly solvable manybody systems has not been systematically investigated so far.…”