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Point-Gap Topology of Non-Hermitian Many-Body Systems
Shu Hamanaka,Kazuki Yamamoto,Tsuneya Yoshida 한국물리학회 2023 새물리 Vol.73 No.12
In the non-Hermitian system, the complex-valued spectrum leads to a unique topology known as the point-gap topology. Recent studies within a single-particle picture have shown that the nontrivial point-gap topology induces the non-Hermitian skin effect (NHSE), which denotes significant dependence of the eigenstates and eigenvalues on boundary conditions. However, most of the studies focus on the noninteracting case, and little is known about the effect of interactions on the point-gap topology. In this paper, we study the one-dimensional non-Hermitian fermionic system with a complex-valued interaction. By performing the numerical diagonalization, we demonstrate that the strong interaction induces the NHSE. Moreover, we show that the many-body topological invariant takes a nonzero value corresponding to the NHSE.