Relation between scattering matrix topological invariants and conductance in Floquet Majorana systems
arXiv:2105.14842 · doi:10.1103/PhysRevB.104.155422
Abstract
We analyze the conductance of a one-dimensional topological superconductor periodically driven to host Floquet Majorana zero-modes for different configurations of coupling to external leads. We compare the conductance of constantly coupled leads, as in standard transport experiments, with the stroboscopic conductance of pulsed coupling to leads used to identify a scattering matrix topological index for periodically driven systems. We find that the sum of DC conductance at voltages multiples of the driving frequency is quantitatively close to the stroboscopic conductance at all voltage biases. This is consistent with previous work which indicated that the summed conductance at zero/pi resonance is quantized. We quantify the difference between the two in terms of the width of their respective resonances and analyze that difference for two different stroboscopic driving protocols of the Kitaev chain. While the quantitative differences are protocol-dependent, we find that generically the discrepancy is larger when the zero mode weight at the end of the chain depends strongly on the offset time between the driving cycle and the pulsed coupling period.
arXiv comment11 pages, 4 figures
References in corpus (47)
- Topological Insulators
- Topological insulators and superconductors
- Unpaired Majorana fermions in quantum wires
- Shot Noise in Mesoscopic Conductors
- Random-Matrix Theory of Quantum Transport
- Topological characterization of periodically-driven quantum systems
- Observation of a Discrete Time Crystal
- Transport properties of non-equilibrium systems under the application of light: Photo-induced quantum Hall insulators without Landau levels
- On the phase structure of driven quantum systems
- Majorana Fermions in Equilibrium and Driven Cold Atom Quantum Wires
- Discrete time crystals: rigidity, criticality, and realizations
- Floquet scattering theory of quantum pumps
- Synthetic dimensions in integrated photonics: From optical isolation to 4D quantum Hall physics
- Floquet chiral edge states in graphene
- Floquet generation of Majorana end modes and topological invariants
- Multiterminal Conductance of a Floquet Topological Insulator
- Classification of Interacting Topological Floquet Phases in One Dimension
- Classification of topological phases in periodically driven interacting systems
- Transport signatures of Floquet Majorana fermions in driven topological superconductors
- Phase Structure of 1d Interacting Floquet Systems I: Abelian SPTs
- Scattering formula for the topological quantum number of a disordered multi-mode wire
- Scattering theory of topological insulators and superconductors
- Dictionary between scattering matrix and Keldysh formalisms for quantum transport driven by time-periodic fields
- Non-equilibrium Josephson effect through helical edge states
- Abelian Floquet symmetry-protected topological phases in one dimension
- Multiple Andreev reflection and critical current in topological superconducting nanowire junctions
- Floquet Majorana and Para-Fermions in Driven Rashba Nanowires
- Floquet scattering theory for current and heat noise in large amplitude adiabatic pumps
- Unpaired Floquet Majorana fermions without magnetic fields
- Scattering matrix invariants of Floquet topological insulators
- Quantum computation via Floquet topological edge modes
- Topologically protected braiding in a single wire using Floquet Majorana modes
- Photon Inhibited Topological Transport in Quantum Well Heterostructures
- Robust Majorana conductance peaks for a superconducting lead
- Spectra of Random Contractions and Scattering Theory for Discrete-Time Systems
- Edge State Transport in Floquet Topological Insulators
- Time-quasiperiodic topological superconductors with Majorana Multiplexing
- Floquet scattering matrix theory of heat fluctuations in dynamical quantum conductors
- Floquet engineering bulk odd-frequency superconducting pairs
- Conductance spectroscopy of nontopological-topological superconductor junctions
- Floquet Majorana bound states in voltage-biased Planar Josephson Junctions
- Signatures of Prelocalized States in Classically Chaotic Systems
- A scattering matrix formulation of the topological index of interacting fermions in one-dimensional superconductors
- Probing (topological) Floquet states through DC transport
- Electronic transport in one-dimensional Floquet topological insulators via topological and nontopological edge states
- Dynamic spin-triplet order induced by alternating electric fields in superconductor-ferromagnet-superconductor Josephson junctions
- Dimensional reduction and scattering formulation for even topological invariants