Screening Clouds and Majorana Fermions
arXiv:1404.0047 · doi:10.1007/s10955-014-1056-1
Abstract
Ken Wilson developed the Numerical Renormalization Group technique which greatly enhanced our understanding of the Kondo effect and other quantum impurity problems. Wilson's NRG also inspired Philippe Nozieres to propose the idea of a large "Kondo screening cloud". While much theoretical evidence has accumulated for this idea it has remained somewhat controversial and has not yet been confirmed experimentally. Recently a new possibility for observing an analogous crossover length scale has emerged, involving a Majorana fermion localized at the interface between a topological superconductor quantum wire and a normal wire. We give an overview of this topic both with and without interactions included in the normal wire.
for a special issue of J. Stat. Phys. in memory of Kenneth G. Wilson. More discussion of connection with previous results and 1 new figure added; other figures improved
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- Majorana-Klein hybridization in topological superconductor junctions
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- Josephson current through a long quantum wire
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Cited by in corpus (24)
- Lindblad master equation approach to the topological phase transition in the disordered Su-Schrieffer-Heeger model
- Anomalous Josephson Effect in S/SO/F/S heterostructures
- Persistent current and zero-energy Majorana modes in a p-wave disordered superconducting ring
- Current transport properties and phase diagram of a Kitaev chain with long-range pairing
- Tunneling spectroscopy of Majorana-Kondo devices
- Transfer matrix approach to the persistent current in hybrid normal-superconducting rings
- Multipartite-Entanglement Tomography of a Quantum Simulator
- Multi-particle scattering and breakdown of the Wiedemann-Franz law at a junction of N interacting quantum wires
- Luttinger liquid in contact with a Kramers pair of Majorana bound states
- Tunable Kondo screening length at a Y-junction of three inhomogenous spin chains
- Tunable spin/charge Kondo effect at a double superconducting island connected to two spinless quantum wires
- Junction of three off-critical quantum Ising chains and two-channel Kondo effect in a superconductor
- Dual fermionic variables and renormalization group approach to junctions of strongly interacting quantum wires
- The dc Josephson current in a long multi-channel quantum wire
- Probing Majorana zero modes by measuring transport through an interacting magnetic impurity
- Phase diagram of the disordered Kitaev chain with long range pairing connected to external baths
- Hierarchical entanglement shells of multichannel Kondo clouds
- From Kondo effect to weak-link regime in quantum spin-1/2 spin chains
- Real fermion modes, impurity entropy, and nontrivial fixed points in the phase diagram of junctions of interacting quantum wires and topological superconductors
- Incipient Berezinskii-Kosterlitz-Thouless transition in two-dimensional coplanar Josephson junctions
- Kondo Length in Bosonic Lattices
- Solvable 2D superconductors with l-wave pairing
- Superconductor/normal-metal/superconductor junction of topological superconductors revisited: Fractional Josephson current, fermion parity, and oscillating wavefunctions
- Spin and thermal current scaling at a -junction of XX spin chains