Circuit realisation of a two-orbital non-Hermitian tight-binding chain
- URL: http://arxiv.org/abs/2311.15014v2
- Date: Fri, 8 Mar 2024 02:09:15 GMT
- Title: Circuit realisation of a two-orbital non-Hermitian tight-binding chain
- Authors: Dipendu Halder, Ronny Thomale, Saurabh Basu
- Abstract summary: 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.
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- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- 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.
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