Field Theoretical Study of Disorder in Non-Hermitian Topological Models

Abstract

Non-Hermitian systems have provided a rich platform to study unconventional topological phases.These phases are usually robust against external perturbations that respect certain symmetries of thesystem. In this work, we provide a new method to analytically study the effect of disorder, usingtools from quantum field theory applied to discrete models around phase-transition points. Weinvestigate two different one-dimensional models, the paradigmatic non-Hermitian SSH model andas-wave superconductor with imbalanced pairing. These analytic results are compared to numericalsimulations in the discrete models. An universal behavior is found for the two investigated models,namely that the systems are driven from a topological to a trivial phase for disorder strengths equalto about four times the energy scale of the model.

6 pages, 2 figures, article. Supplemental material: 5 pages, 1 figure

References in corpus (5)

• Topological Origin of Non-Hermitian Skin Effects
• Edge Modes, Degeneracies, and Topological Numbers in Non-Hermitian Systems
• Periodic Table for Topological Bands with Non-Hermitian Bernard-LeClair Symmetries
• Spectral deformations in non-Hermitian lattices with disorder and skin effect: a solvable model
• Disorder-driven Phase Transitions of Second-order Non-Hermitian Skin Effects

Cited by in corpus (5)

• Non-Hermitian Topological Phases: Principles and Prospects
• Field theory of non-Hermitian disordered systems
• Topological phases of the interacting Su-Schrieffer-Heeger model: An analytical study
• Thermodynamics and entanglement entropy of the non-Hermitian SSH model
• Interplay of Disorder and Point-Gap Topology: Chiral Modes, Localization and Non-Hermitian Anderson Skin Effect in One Dimension