The paper explores the bulk-boundary correspondence in non-Hermitian topological systems, focusing on the non-Hermitian skin effect and the need to redefine topological invariants in a generalized Brillouin zone. The authors introduce the concept of a "non-Bloch bulk-boundary correspondence," where the topological boundary modes are determined by non-Bloch topological invariants rather than Bloch-Hamiltonian-based invariants. They analyze the non-Hermitian Su-Schrieffer-Heeger (SSH) model, demonstrating that the eigenstates of an open chain are localized near the boundary, a phenomenon known as the non-Hermitian skin effect. This effect leads to a non-unit circle generalized Brillouin zone, where the non-Bloch winding number is used to predict the number of topological edge modes. The paper provides analytical solutions and numerical results to support these findings, showing that the non-Bloch bulk-boundary correspondence can correctly predict the number of robust zero modes at the boundaries of the system.The paper explores the bulk-boundary correspondence in non-Hermitian topological systems, focusing on the non-Hermitian skin effect and the need to redefine topological invariants in a generalized Brillouin zone. The authors introduce the concept of a "non-Bloch bulk-boundary correspondence," where the topological boundary modes are determined by non-Bloch topological invariants rather than Bloch-Hamiltonian-based invariants. They analyze the non-Hermitian Su-Schrieffer-Heeger (SSH) model, demonstrating that the eigenstates of an open chain are localized near the boundary, a phenomenon known as the non-Hermitian skin effect. This effect leads to a non-unit circle generalized Brillouin zone, where the non-Bloch winding number is used to predict the number of topological edge modes. The paper provides analytical solutions and numerical results to support these findings, showing that the non-Bloch bulk-boundary correspondence can correctly predict the number of robust zero modes at the boundaries of the system.