Quantum critical points in tunneling junction of topological superconductor and topological insulator
arXiv:1603.01361 · doi:10.1016/j.physleta.2016.07.024
Abstract
The tunneling junction between one-dimensional topological superconductor and integer (fractional) topological insulator (TI), realized via point contact, is investigated theoretically with bosonization technology and renormalization group methods. For the integer TI case, in a finite range of edge interaction parameter, there is a non-trivial stable fixed point which corresponds to the physical picture that the edge of TI breaks up into two sections at the junction, with one side coupling strongly to the Majorana fermion and exhibiting perfect Andreev reflection, while the other side decouples, exhibiting perfect normal reflection at low energies. This fixed point can be used as a signature of the Majorana fermion and tested by nowadays experiment techniques. For the fractional TI case, the universal low-energy transport properties are described by perfect normal reflection, perfect Andreev reflection, or perfect insulating fixed points dependent on the filling fraction and edge interaction parameter of fractional TI.
16 pages (one column), 2 figure, comments are welcome
References in corpus (27)
- Non-Abelian Anyons and Topological Quantum Computation
- Quantum Spin Hall Insulator State in HgTe Quantum Wells
- Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
- Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
- Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
- Evidence of Majorana fermions in an Al - InAs nanowire topological superconductor
- Observation of Majorana Fermions in Ferromagnetic Atomic Chains on a Superconductor
- Observation of Majorana Fermions in a Nb-InSb Nanowire-Nb Hybrid Quantum Device
- Colloquium: Majorana Fermions in nuclear, particle and solid-state physics
- The Helical Liquid and the Edge of Quantum Spin Hall Systems
- Exotic non-Abelian anyons from conventional fractional quantum Hall states
- Induced Superconductivity in the Quantum Spin Hall Edge
- Superconducting Proximity Effect on the Edge of Fractional Topological Insulators
- Fractional topological superconductors with fractionalized Majorana fermions
- Edge Dynamics in a Quantum Spin Hall State: Effects from Rashba Spin-Orbit Interaction
- Observation of a Helical Luttinger-Liquid in InAs/GaSb Quantum Spin Hall Edges
- Corner Junction as a Probe of Helical Edge States
- Fractionalized Topological Insulators
- Multi-channel Kondo impurity dynamics in a Majorana device
- Visualising Majorana bound states in 1D and 2D using the generalized Majorana polarization
- Fractional Topological Insulators -- a Pedagogical Review
- Non-Fermi liquid manifold in a Majorana device
- Luttinger liquid in contact with a Kramers pair of Majorana bound states
- Detecting Majorana fermions by use of superconductor-quantum Hall liquid junctions
- Detecting a quantum critical point in topological SN junctions
- Tunneling between a topological superconductor and a Luttinger liquid
- Tunneling between helical Majorana modes and helical Luttinger liquids