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Abstract

It has turned out that non-Hermiticity induces novel topological phenomena which do not have Hermitian counterparts[1-3]. A representative example is a non-Hermitian skin effect[4] which manifests as extreme sensitivity of eigenvalues and eigenstates to boundary conditions due to the non-Hermitian topology in the bulk. In particular, under open boundary conditions, most of eigenstates are localized at the edge which are called skin modes. While the non-Hermitian topology of non-interacting cases has extensively studied so far, correlation effects have not been sufficiently explored.

In this talk, we address the interplay between strong correlations and the non-Hermitian skin effect[5]. Our analysis of a bosonic open quantum system reveals a novel type of non-Hermitian skin effect: the Mott skin effect. In contrast to the ordinary non-Hermitian skin effect of non-interacting systems, the Mott skin effect induces skin modes only in spin degree of freedom. Our numerical simulations also demonstrate that such skin modes induce dynamical spin accumulation while the charge distribution remains uniform.

If time allows, we will also discuss non-Hermitian skin effects in two-dimensional electrons on a substrate where the interplay between spin-orbit coupling and a transverse magnetic field leads to Liouvillian skin effects[6].

[1] Y. Ashida et al., Adv. Phys. 69, 249 (2021).
[2] Z. Gong et al., Phys. Rev. X 8, 031079 (2018).
[3] K. Kawabata et al., Phys. Rev. X 9, 041015 (2019).
[4] N. Okuma et al., Phys. Rev. Lett. 124, 086801 (2020).
[5] T. Yoshida et al., Phys. Rev. Lett. 133, 076502 (2024).
[6] Y. Shigedomi and T. Yoshida arXiv:2505.18001.