Flux driven and geometry controlled spin filtering for arbitrary spins in aperiodic quantum networks

Abstract

We demonstrate that an aperiodic array of certain quantum networks comprising magnetic and non-magnetic atoms can act as perfect spin filters for particles with arbitrary spin state. This can be achieved by introducing minimal quasi-one dimensionality in the basic structural units building up the array, along with an appropriate tuning of the potential of the non-magnetic atoms, the tunnel hopping integral between the non-magnetic atoms and the backbone, and, in some cases, by tuning an external magnetic field. This latter result opens up the interesting possibility of designing a flux controlled spin demultiplexer using quantum networks. The proposed networks have close resemblance with a family of recently developed photonic lattices, and the scheme for spin filtering can thus be linked, in principle, to a possibility of suppressing any one of the two states of polarization of a single photon, almost at will. We use transfer matrices and a real space renormalization group scheme to unravel the conditions under which any aperiodic arrangement of such topologically different structures will filter out any given spin projection. Our results are analytically exact, and corroborated by extensive numerical calculations of the spin polarized transmission and the density of states of such systems.

arXiv comment12 pages, 7 figures

References in corpus (25)

• Kondo Physics in a Single Electron Transistor
• Dissipationless Quantum Spin Current at Room Temperature
• A Tunable Kondo Effect in Quantum Dots
• Experimental observation of anomalous topological edge modes in a slowly-driven photonic lattice
• Experimental Realization of a Quantum Spin Pump
• Evidence of spontaneous spin polarized transport in magnetic nanowires
• Spin separation in cyclotron motion
• Observation of localized flat-band modes in a quasi-one-dimensional photonic rhombic lattice
• Metal-insulator transition in an aperiodic ladder network: an exact result
• Networks of quantum nanorings: programmable spintronic devices
• Rashba effect in quantum networks
• Spin filtering by a periodic nanospintronic devices
• Spin filtering due to quantum interference in periodic mesoscopic networks
• Spin Filter Effects in Mesoscopic Ring Structures
• Robust signatures in the current-voltage characteristics of DNA molecules oriented between two graphene nanoribbon electrodes
• Controlled engineering of extended states in disordered systems
• Logical XOR gate response in a quantum interferometer: A spin dependent transport
• Complete absence of localization in a family of disordered lattices
• Tight-binding modeling of charge migration in DNA devices
• Engineering bands of extended electronic states in a class of topologically disordered and quasiperiodic lattices
• Tight-binding chains with off-diagonal disorder: Bands of extended electronic states induced by minimal quasi-one dimensionality
• Spin-polarized quantum transport through a T-shape quantum dot-array: a model of spin splitter
• Spin filter for arbitrary spins by substrate engineering
• Spin filtering and switching action in a diamond network with magnetic-nonmagnetic atomic distribution
• A T-shaped double quantum dot system as a Fano interferometer: interplay of coherence and correlation upon spin currents

Cited by in corpus (6)

• Complete escape from localization on a hierarchical lattice: A Koch fractal with all states extended
• Quasiperiodic magnetic chain as a spin filter for arbitrary spin states
• Engineering insulator-metal transition in a class of decorated aperiodic lattices: a quantum dynamical study
• Spin-selective Aharonov-Casher caging in a topological quantum network
• Engineering complete delocalization of single particle states in a class of one dimensional aperiodic lattices: a quantum dynamical study
• Spin-polarized localization in a magnetized chain