Skin effect and excitation spectral of interacting non-Hermitian system

Abstract

The non-Hermitian Su-Schrieffer-Heeger spinless Fermion model with interacting terms is studied by exact diagonalization. The model is derived from the spin chain with damping Dzyaloshinskii-Moriya interaction. The presence of the interaction induce anomalous spectral function. The skin effect is exhibited by the non-diagonal terms of the Green's function, i.e. the spatial correlation. The interaction modifies the degeneracy between the ground state and the first excited state of the half filled systems, as well as between the ground state of the half and half plus one filled systems. The energy bands of the higher excited states within the topological regime have complicated pattern, depending on the sign and amplitude of the interaction.

arXiv comment6 figures

References in corpus (3)

• Topological Classification of Non-Hermitian Hamiltonians
• Many-body approach to non-Hermitian physics in fermionic systems
• Non-Hermitian Floquet topological superconductors with multiple Majorana edge modes

Cited by in corpus (5)

• Critical non-Hermitian Skin Effect
• Non-Hermitian skin modes induced by on-site dissipations and chiral tunneling effect
• Many-Body Topological and Skin States without Open Boundaries
• Amplification of quantum signals by the non-Hermitian skin effect
• Filling up complex spectral regions through non-Hermitian disordered chains