Disorder-driven Phase Transitions of Second-order Non-Hermitian Skin Effects

Abstract

Non-Hermitian skin effect exhibits the collapse of the extended bulk modes into the extensive number of localized boundary states in open boundary conditions. Here we demonstrate the disorder-driven phase transition of the trivial non-Hermitian system to the higher-order non-Hermitian skin effect phase. In contrast to the clean systems, the disorder-induced boundary modes form an arc in the complex energy plane, which is the manifestation of the disorder-driven dynamical phase transition. At the phase transition, the localized corner modes and bulk modes characterized by trivial Hamiltonian coexist within the single-band but are separated in the complex energy plane. This behavior is analogous to the mobility edge phenomena in the disordered Hermitian systems. Using effective medium theory and numerical diagonalizations, we provide a systematic characterization of the disorder-driven phase transitions.

4+7 pages

References in corpus (10)

• Topological Origin of Non-Hermitian Skin Effects
• Topological Defects and Gapless Modes in Insulators and Superconductors
• Topological Anderson Insulator
• Disorder-induced Floquet Topological Insulators
• Topological Anderson Insulator in Three Dimensions
• Non-Hermitian Topological Theory of Finite-Lifetime Quasiparticles: Prediction of Bulk Fermi Arc Due to Exceptional Point
• Guided accumulation of active particles by topological design of a second-order skin effect
• Structural Disorder Induced Second-order Topological Insulators in Three Dimensions
• Spectral deformations in non-Hermitian lattices with disorder and skin effect: a solvable model
• Disorder Induced Phase Transitions of Type-II Weyl Semimetal

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• Bulk-Bulk Correspondence in Disordered Non-Hermitian Systems
• Universal platform of point-gap topological phases from topological materials
• Erratic non-Hermitian skin localization
• Non-Hermitian Topology in Hermitian Topological Matter
• Observation of disorder-induced boundary localization
• Non-Hermitian topological phases and skin effects in kagome lattices
• Localization-Delocalization Transitions in Non-Hermitian Aharonov-Bohm Cages
• Non-Markovian skin effect
• From scale-free to Anderson localization: a size-dependent transition
• Skin Effect Induced Anomalous Dynamics from Charge-Fluctuating Initial States
• Intrinsic-perturbation induced anomalous higher-order boundary states in non-Hermitian systems
• Field Theoretical Study of Disorder in Non-Hermitian Topological Models
• Non-Bloch Theory for Spatiotemporal Photonic Crystals Assisted by Continuum Effective Medium
• Two-body interaction induced phase transitions and intermediate phases in nonreciprocal non-Hermitian quasicrystals
• Recent progress on disorder-induced topological phases
• Unified Multipole Bott Indices for Non-Hermitian Skin Effect in Different Orders
• Floquet multiple exceptional points with higher-order skin effect