Magnetic Control of the Non-Hermitian Skin Effect in Two-Dimensional Lattices
arXiv:2511.20518 · doi:10.1103/79bw-dk58
Abstract
The non-Hermitian skin effect (NHSE) -- the anomalous boundary accumulation of an extensive number of bulk modes -- has emerged as a hallmark of non-Hermitian physics, with broad implications for transport, sensing, and topological classification. A central open question is how magnetic or synthetic gauge fields influence this boundary phenomenon. Here, we develop a theoretical framework for magnetic control of the NHSE along line boundaries in two-dimensional single-band lattices. Using a non-Hermitian extension of the anisotropic Harper--Hofstadter model as a representative example, we show that magnetic fields suppress the geometric skin effect in reciprocal models, whereas skin localization can persist in nonreciprocal systems. The analysis disentangles the interplay of flux, nonreciprocity, and boundary geometry, revealing that magnetic fields mitigate or suppress the NHSE through distinct physical mechanisms -- such as bulk localization via Landau or Anderson physics, or the restoration of effective reciprocity. In particular, the geometry-dependent skin effect in reciprocal systems is found to be fragile against even weak magnetic fields.
14 pages, 8 figures, accepted for publication in the Physical Review B
References in corpus (63)
- Topological Origin of Non-Hermitian Skin Effects
- Efficient Light Funneling based on the non-Hermitian Skin Effect
- Non-Hermitian Topology and Exceptional-Point Geometries
- Critical non-Hermitian Skin Effect
- Topological phase transition in non-Hermitian quasicrystals
- Universal non-Hermitian skin effect in two and higher dimensions
- Observation of Non-Hermitian Skin Effect and Topology in Ultracold Atoms
- Non-Hermitian topological phenomena: A review
- Higher-order non-Hermitian skin effect
- Acoustic non-Hermitian skin effect from twisted winding topology
- Observation of higher-order non-Hermitian skin effect
- Non-Hermitian skin modes induced by on-site dissipations and chiral tunneling effect
- Topological Non-Hermitian skin effect
- Second-order topological non-Hermitian skin effects
- Skin effect and winding number in disordered non-Hermitian systems
- Simulating non-Hermitian quasicrystals with single-photon quantum walks
- Localization transition, spectrum structure and winding numbers for one-dimensional non-Hermitian quasicrystals
- Winding Numbers and Generalized Mobility Edges in Non-Hermitian Systems
- Non-Hermitian second-order skin and topological modes
- Phase transitions in a non-Hermitian Aubry-André-Harper model
- Non-reciprocal topological solitons in active metamaterials
- Observation of exceptional points and skin effect correspondence in non-Hermitian phononic crystals
- Many-body topology of non-Hermitian systems
- Hybrid skin-topological modes without asymmetric couplings
- Symmetry breaking and spectral structure of the interacting Hatano-Nelson model
- Amoeba Formulation of Non-Bloch Band Theory in Arbitrary Dimensions
- Unraveling the Non-Hermitian Skin Effect in Dissipative Systems
- Experimental Realization of Geometry-Dependent Skin Effect in a Reciprocal Two-Dimensional Lattice
- Fate of the non-Hermitian skin effect in many-body fermionic systems
- Enhancement of Second-Order Non-Hermitian Skin Effect by Magnetic Fields
- Non-Hermitian Topological Phases: Principles and Prospects
- Detecting non-Bloch topological invariants in quantum dynamics
- Non-Hermitian Mott Skin Effect
- Dynamical nonlinear higher-order non-Hermitian skin effects and topological trap-skin phase
- Non-Hermitian skin effect in magnetic systems
- Nonlinear non-Hermitian skin effect
- Many-Body Non-Hermitian Skin Effect for Multipoles
- Nonlinear Non-Hermitian Skin Effect and Skin Solitons in Temporal Photonic Feedforward Lattices
- Non-Hermitian Maryland Model
- Manipulating non-reciprocity in a two-dimensional magnetic quantum walk
- R-DMFT study of a non-Hermitian skin effect for correlated systems: analysis based on a pseudo-spectrum
- Cyclotron quantization and mirror-time transition on nonreciprocal lattices
- Continuum of Bound States in a Non-Hermitian Model
- Skin modes in a nonlinear Hatano-Nelson model
- Erratic non-Hermitian skin localization
- Reduction of one-dimensional non-Hermitian point-gap topology by correlations
- Incoherent non-Hermitian skin effect in photonic quantum walks
- Non-reciprocal dynamics and the non-Hermitian skin effect of repulsively bound pairs
- Phase transitions and bunching of correlated particles in a non-Hermitian quasicrystal
- General criterion for non-Hermitian skin effects and Application: Fock space skin effects in many body systems
- Full counting statistics in the many-body Hatano-Nelson model
- Topological triple phase transition in non-Hermitian quasicrystals with complex asymmetric hopping
- Quantum criticality in interacting bosonic Kitaev-Hubbard models
- Dynamical suppression of many-body non-Hermitian skin effect in Anyonic systems
- Modulational Instability and Dynamical Growth Blockade in the Nonlinear Hatano-Nelson Model
- Spectral structure and doublon dissociation in the two-particle non-Hermitian Hubbard model
- Pseudomagnetic suppression of non-Hermitian skin effect
- Higher-order Skin Effect through a Hermitian-non-Hermitian Correspondence and Its Observation in an Acoustic Kagome Lattice
- Magnetic Flux Response of Non-Hermitian Topological Phases
- Topological phase transition in fluctuating imaginary gauge fields
- Phase transitions in non-Hermitian superlattices
- Controllable suppression of Non-Hermitian skin effects
- Gauge Field Induced Unconventional Skin Effect in Spinful Non-Hermitian Systems