Two-point spectroscopy of Fibonacci topoelectrical circuits
arXiv:2309.16432 · doi:10.1103/PhysRevB.109.L241103
Abstract
Topoelectrical circuits are meta-material realizations of topological features of condensed matter systems. In this work, we discuss experimental methods that allow a fast and straightforward detection of the spectral features of these systems from the two-point impedance of the circuit. This allows to deduce the full spectrum of a topoelectrical circuit consisting of N sites from a single two-point measurement of the frequency resolved impedance. In contrast, the standard methods rely on measurements of admittance matrix elements with a subsequent diagonalization on a computer. We experimentally test our approach by constructing a Fibonacci topoelectrical circuit. Although the spectrum of this chain is fractal, i.e., more complex than the spectra of periodic systems, our approach is successful in recovering its eigenvalues. Our work promotes the topoelectrical circuits as an ideal platform to measure spectral properties of various (quasi)crystalline systems.
7 pages, 3 figures + 6 pages, 4 figures
References in corpus (11)
- Topological Photonics
- Topological Acoustics
- Observation of phononic helical edge states in a mechanical 'topological insulator'
- Direct observation of corner states in second-order topological photonic crystal slabs
- Observation of Topological Phase Transitions in Photonic Quasicrystals
- Topological properties of linear circuit lattices
- Measurement of a topological edge invariant in a microwave network
- Topological Zak Phase in Strongly-Coupled LC Circuits
- Impedance responses and size-dependent resonances in topolectrical circuits via the method of images
- Anomalous fractal scaling in two-dimensional electric networks
- Topolectrical-circuit realization of quadrupolar surface semimetals