Arbitrary Control of Non-Hermitian Skin Modes via Disorder and An Electric Field
arXiv:2511.16393 · doi:10.1103/zf4k-ytgt
Abstract
The non-Hermitian skin effect (NHSE), characterized by the accumulation of a macroscopic number of bulk states at system boundaries, is a hallmark of non-Hermitian physics. However, in higher dimensions, achieving deterministic control over where skin modes accumulate remains a major challenge. Here, we propose a versatile route to program the skin-mode localization site in two-dimensional non-Hermitian lattices by combining disorder with a static electric field. While the electric field alone suppresses the NHSE in a clean system, the introduction of disorder induces transverse wave-packet transport perpendicular to the field. In nonreciprocal lattices, when the nonreciprocal hopping is misaligned with the electric field, the hopping component perpendicular to the field guides wave-packet propagation and produces boundary localization. By tuning the relative orientation between the electric field and the nonreciprocal hopping direction, the boundary localization position can be continuously and arbitrarily controlled. We further demonstrate distinct geometry-dependent manipulation of skin modes in reciprocal lattices, where controllable boundary localization emerges solely from the lattice geometry. Our results establish a robust and broadly applicable route to engineer boundary accumulation and directed transport along prescribed directions in two-dimensional non-Hermitian systems, enabling reconfigurable wave routing in classical platforms and programmable transport functionalities in quantum settings.
arXiv commentPublished version in Phys. Rev. Research 8, 033021
References in corpus (55)
- Edge states and topological invariants of non-Hermitian systems
- Exceptional Topology of Non-Hermitian Systems
- Non-Hermitian Physics
- Localization transitions in non-Hermitian quantum mechanics
- Topological phases of non-Hermitian systems
- Realization of the Hofstadter Hamiltonian with ultracold atoms in optical lattices
- Symmetry and Topology in Non-Hermitian Physics
- Biorthogonal Bulk-Boundary Correspondence in Non-Hermitian Systems
- Topological Origin of Non-Hermitian Skin Effects
- Non-Bloch Band Theory of Non-Hermitian Systems
- Topolectrical circuit realization of topological corner modes
- Correspondence between winding numbers and skin modes in non-hermitian systems
- Non-Hermitian Chern bands
- Quantum trajectories and open many-body quantum systems
- Efficient Light Funneling based on the non-Hermitian Skin Effect
- Non-Hermitian skin effect and chiral damping in open quantum systems
- Keldysh Field Theory for Driven Open Quantum Systems
- Second-Order Topological Phases in Non-Hermitian Systems
- Critical non-Hermitian Skin Effect
- Universal non-Hermitian skin effect in two and higher dimensions
- Quantum state tomography across the exceptional point in a single dissipative qubit
- Observation of Non-Hermitian Skin Effect and Topology in Ultracold Atoms
- Observation of hybrid higher-order skin-topological effect in non-Hermitian topolectrical circuits
- Photonic Bloch oscillations and Zener tunneling in two-dimensional optical lattices
- Observing non-ergodicity due to kinetic constraints in tilted Fermi-Hubbard chains
- Topological Correspondence between Hermitian and Non-Hermitian Systems: Anomalous Dynamics
- Topological framework for directional amplification in driven-dissipative cavity arrays
- Fractional Bloch oscillations in photonic lattices
- Simple formulas of directional amplification from non-Bloch band theory
- Impurity induced scale-free localization
- Nonunitary Scaling Theory of Non-Hermitian Localization
- Observation of exceptional points and skin effect correspondence in non-Hermitian phononic crystals
- Two-dimensional non-Hermitian skin effect in an ultracold Fermi gas
- Anomalous Skin Effects in Disordered Systems with a Single non-Hermitian Impurity
- Experimental Realization of Geometry-Dependent Skin Effect in a Reciprocal Two-Dimensional Lattice
- Enhancement of Second-Order Non-Hermitian Skin Effect by Magnetic Fields
- Dynamically crossing diabolic points while encircling exceptional curves: A programmable symmetric-asymmetric multimode switch
- Non-Hermitian Mott Skin Effect
- Scale-free localization and PT symmetry breaking from local non-Hermiticity
- Anomalous Behaviors of Quantum Emitters in Non-Hermitian Baths
- Nonlinear Non-Hermitian Skin Effect and Skin Solitons in Temporal Photonic Feedforward Lattices
- Non-Markovian Quantum Exceptional Points
- Non-Hermitian Absorption Spectroscopy
- Cyclotron quantization and mirror-time transition on nonreciprocal lattices
- Amplification of quantum signals by the non-Hermitian skin effect
- Manipulating non-Hermitian skin effect via electric fields
- Erratic non-Hermitian skin localization
- Anderson Delocalization in Strongly Coupled Disordered Non-Hermitian Chains
- Non-Hermitian Skin Effect in Periodically-Driven Dissipative Ultracold Atoms
- Observation of disorder-induced boundary localization
- Non-Hermitian Origin of Detachable Boundary States in Topological Insulators
- Non-Markovian skin effect
- Quantum-Classical Correspondence of Non-Hermitian Symmetry Breaking
- Hopf Bifurcation of Nonlinear Non-Hermitian Skin Effect
- Versatile Control of Nonlinear Topological States in Non-Hermitian Systems