Non-Hermitian topological superconductivity with symmetry-enriched spectral and eigenstate features
arXiv:2509.23177 · doi:10.1103/v5k2-1vj9
Abstract
We investigate a one-dimensional superconducting lattice that realizes all internal symmetries permitted in non-Hermitian systems, characterized by nonreciprocal hopping, onsite dissipation, and -wave singlet pairing in a Su-Schrieffer-Heeger-type structure. The combined presence of pseudo-Hermiticity and sublattice symmetry imposes constraints on the energy spectra. We identify parameter regimes featuring real spectra, purely imaginary spectra, complex flat bands, and Majorana zero modes, the latter emerging when a uniform transverse magnetic field suppresses the non-Hermitian skin effect. We show that a uniform onsite dissipation is essential for stabilizing the zero modes, whereas a purely staggered dissipation destroys the topological superconductivity. Through Hermitianization, we construct a spectral winding number as a topological invariant and demonstrate its correspondence with the gap closing conditions and appearance of the Majorana zero modes, allowing us to establish topological phase diagrams. Moreover, we reveal nontrivial correlations between the particle-hole and spin components of left and right eigenstates, enforced by chiral symmetry, pseudo-Hermiticity, and their combination. Our results highlight how non-Hermiticity, sublattice structure, and superconductivity together enrich symmetry properties and give rise to novel topological phenomena.
25 pages, 22 figures; revised version accepted for publication in Phys. Rev. Research
References in corpus (33)
- Non-Abelian Anyons and Topological Quantum Computation
- Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
- Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
- Making Sense of Non-Hermitian Hamiltonians
- Topological Origin of Non-Hermitian Skin Effects
- Observation of the Pairing Gap in a Strongly Interacting Fermi Gas
- Non-Abelian Topological Order in S-Wave Superfluids of Ultracold Fermionic Atoms
- Non-Hermitian Topological Sensors
- Observation of Non-Hermitian Skin Effect and Topology in Ultracold Atoms
- Non-Hermitian topological phenomena: A review
- Acoustic non-Hermitian skin effect from twisted winding topology
- Realization of a minimal Kitaev chain in coupled quantum dots
- Zero-energy vortex bound state in the superconducting topological surface state of Fe(Se,Te)
- Non-Hermitian Morphing of Topological Modes
- Tunable non-reciprocal quantum transport through a dissipative Aharonov-Bohm ring in ultracold atoms
- Parity qubits and poor man's Majorana bound states in double quantum dots
- Symmetry-protected multifold exceptional points and their topological characterization
- Entanglement and purification transitions in non-Hermitian quantum mechanics
- Symmetry Classification and Universality in Non-Hermitian Many-Body Quantum Chaos by the Sachdev-Ye-Kitaev Model
- Two-dimensional non-Hermitian skin effect in an ultracold Fermi gas
- Non-Hermitian Mott Skin Effect
- Helical Liquids in Semiconductors
- Properties of the non-Hermitian SSH model: role of PT-symmetry
- Quantum metric of non-Hermitian Su-Schrieffer-Heeger systems
- Reduction of one-dimensional non-Hermitian point-gap topology by correlations
- A canonical Hamiltonian for open quantum systems
- Fate of exceptional points under interactions: Reduction of topological classifications
- Non-Hermitian Topology in Hermitian Topological Matter
- Hidden zero modes and topology of multiband non-Hermitian systems
- Non-Hermitian minimal Kitaev chains
- Quasiperiodicity-induced bulk localization with self similarity in non-Hermitian systems
- Bulk--Boundary Correspondence and Boundary Zero Modes in a Non-Hermitian Kitaev Chain Model
- Gain engineering and atom lasing in a topological edge state in synthetic dimensions