Department of Physics, Federal Center for Technological Education of Minas Gerais, 30510-000, Belo Horizonte, MG, Brazil.
Sci Rep. 2023 Jul 10;13(1):11112. doi: 10.1038/s41598-023-38293-5.
Transport in non-Hermitian quantum systems is studied. The goal is a better understanding of transport in non-Hermitian systems like the Lieb lattice due to its flat bands and the integrability of the Ising chain which allows transport in that model to be computed analytically. This is a very special feature that is not present in a generic non-Hermitian system. We obtain the behaviour of the spin conductivity as a function of the non-Hermitian parameters of each system with aim to verify the influence of variation them on conductivity. For all models analyzed: Ising model as well as noninteracting fermion models, we obtain a little influence of the non-Hermitian parameters on conductivity and thus, a small effect over transport coefficients. Furthermore, we obtain an influence of opening of the gap in the spectrum in these models on longitudinal conductivity as well.
研究了非厄米量子系统中的输运。目的是更好地理解非厄米系统中的输运，例如由于其平坦能带而 Lieb 晶格，以及伊辛链的可积性，使得该模型中的输运可以进行分析计算。这是一个非常特殊的特征，在一般的非厄米系统中并不存在。我们获得了自旋电导率作为每个系统的非厄米参数的函数的行为，目的是验证它们对电导率的影响。对于我们分析的所有模型：伊辛模型以及非相互作用费米子模型，我们发现非厄米参数对电导率的影响很小，因此对输运系数的影响也很小。此外，我们还发现这些模型中谱隙的打开对纵向电导率也有影响。
