Circuit realisation of a two-orbital non-Hermitian tight-binding chain

Abstract

We examine a non-Hermitian (NH) tight-binding system comprising of two orbitals per unit cell and their electrical circuit analogues. We distinguish the PT-symmetric and non-PT symmetric cases characterised by non-reciprocal nearest neighbour couplings and onsite gain/loss terms, respectively. The localisation of the edge modes or the emergence of the topological properties are determined via the maximum inverse participation ratio, which has distinct dependencies on the parameters that define the Hamiltonian. None of the above scenarios exhibits the non-Hermitian skin effect. We investigate the boundary modes corresponding to the topological phases in a suitably designed electrical circuit by analyzing the two-port impedance and retrieve the admittance band structure of the circuit via imposing periodic boundary conditions. The obtained results are benchmarked against the Hermitian version of the two-orbital model to compare and discriminate against those obtained for the NH variants.

arXiv commentPublished in Physical Review B; 10 pages, 7 figures

References in corpus (35)

• Topological Insulators
• Topological insulators and superconductors
• Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry
• Classification of topological quantum matter with symmetries
• Topological insulators and superconductors: ten-fold way and dimensional hierarchy
• Edge states and topological invariants of non-Hermitian systems
• Pseudo-Hermiticity versus PT Symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian
• Colloquium: Topological Band Theory
• The physics of exceptional points
• Symmetry and Topology in Non-Hermitian Physics
• Biorthogonal Bulk-Boundary Correspondence in Non-Hermitian Systems
• Topological Origin of Non-Hermitian Skin Effects
• Topological Band Theory for Non-Hermitian Hamiltonians
• Anomalous edge state in a non-Hermitian lattice
• Non-Bloch Band Theory of Non-Hermitian Systems
• Observation of bulk boundary correspondence breakdown in topolectrical circuits
• Non-Hermitian Boundary Modes
• Anatomy of skin modes and topology in non-Hermitian systems
• Non-Hermitian robust edge states in one-dimension: Anomalous localization and eigenspace condensation at exceptional points
• Edge Modes, Degeneracies, and Topological Numbers in Non-Hermitian Systems
• Topolectrical circuits
• Topological phases in the non-Hermitian Su-Schrieffer-Heeger model
• Critical non-Hermitian Skin Effect
• Reciprocal skin effect and its realization in a topolectrical circuit
• Higher-order non-Hermitian skin effect
• Time Reversal Invariant Topologically Insulating Circuits
• Topological properties of linear circuit lattices
• Theory of resistor networks: The two-point resistance
• Topological defect engineering and PT-symmetry in non-Hermitian electrical circuits
• Band structure engineering and reconstruction in electric circuit networks
• Topolectric circuits: Theory and construction
• Braiding of Majorana corner states in electric circuits and its non-Hermitian generalization
• Non-Hermitian anomalous skin effect
• Dynamical robustness of topological end states in nonreciprocal Su-Schrieffer-Heeger models with open boundary conditions
• Electrical analogue of one-dimensional and quasi-one-dimensional Aubry-André-Harper lattices

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• Hinge non-Hermitian skin effect in the single-particle properties of a strongly correlated f-electron system
• Floquet Non-Bloch Formalism for a Non-Hermitian Ladder: From Theoretical Framework to Topolectrical Circuits
• Thermodynamics of analogue black holes in a non-Hermitian tight-binding model
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