论文标题

相互作用的骨气kitaev-Hubbard模型中的量子关键性

Quantum criticality in interacting bosonic Kitaev-Hubbard models

论文作者

Wang, Ya-Nan, You, Wen-Long, Sun, Gaoyong

论文摘要

在玻田Kitaev-Majorana模型中,最近关于非温米皮皮肤效应的工作的动机,我们研究了链条和两腿阶梯上相互作用的玻色粒基塔夫 - 哈伯德模型的量子关键。在硬核极限中,我们准确地表明,非铁皮皮肤效应通过从硬核骨型模型转变为Spin-1/2模型而消失。我们还表明,在存在复杂的跳跃和配对术语的情况下,硬核玻色子可以设计Kitaev的相互作用,Dzyaloshinskii-Moriya相互作用以及指南针的相互作用。重要的是,通过密度矩阵恢复归一化组方法研究了具有三体约束和不受限制软核玻色子的链的量子临界点。这项工作揭示了多体相互作用对非铁皮皮肤效应的影响,并以配对术语为探针强调了玻色子的力量,以探究有趣的模型和量子相变的工程。

Motivated by recent work on the non-Hermitian skin effect in the bosonic Kitaev-Majorana model, we study the quantum criticality of interacting bosonic Kitaev-Hubbard models on a chain and a two-leg ladder. In the hard-core limit, we show exactly that the non-Hermitian skin effect disappears via a transformation from hard-core bosonic models to spin-1/2 models. We also 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. Importantly, quantum criticalities of the chain with a three-body constraint and unconstrained soft-core bosons are investigated by 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 and quantum phase transitions.

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