A mechanism of $\frac{e^2}{2h}$ conductance plateau without 1D chiral Majorana fermions

Abstract

We address the question about the origin of the $\frac{1}{2}\frac{e^2}{h}$ conductance plateau observed in a recent experiment on an integer quantum Hall (IQH) film covered by a superconducting (SC) film. Since 1-dimensional (1D) chiral Majorana fermions on the edge of the above device can give rise to the half quantized plateau, such a plateau was regarded as a smoking-gun evidence for the chiral Majorana fermions. However, in this paper we give another mechanism for the $\frac{1}{2}\frac{e^2}{h}$ conductance plateau. We find the $\frac{1}{2}\frac{e^2}{h}$ conductance plateau to be a general feature of a good electric contact between the IQH film and SC film, and cannot distinguish the existence or the non-existence of 1D chiral Majorana fermions. We also find that the contact conductance between SC and an IQH edge channel has a non-Ohmic form ${\sigma }_{\text{SC-Hall}}\propto V^2$ in $k_{B}T\ll eV$ limit, if the SC and IQH bulks are fully gapped.

6 pages, 4 figures. The T=0 calculation is updated for a more general situation (k_F=/=0). The results are not affected

References in corpus (6)

• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Zoo of quantum-topological phases of matter
• Chiral Majorana edge state in a quantum anomalous Hall insulator-superconductor structure
• Disorder-induced half-integer quantized conductance plateau in quantum anomalous Hall insulator-superconductor structures
• Quantum phase transition of chiral Majorana fermion in the presence of disorder
• Effects of Domain Walls in Quantum Anomalous Hall Insulator/Superconductor Heterostructures

Cited by in corpus (61)

• Colloquium: Quantum anomalous Hall effect
• Transport in two-dimensional topological materials: recent developments in experiment and theory
• Non-Majorana Origin of the Half-Quantized Conductance Plateau in Quantum Anomalous Hall Insulator and Superconductor Hybrid Structures
• Proximity-induced Majorana hinge modes in antiferromagnetic topological insulators
• Intrinsic magnetic topological insulators
• Semiconductor - Ferromagnetic Insulator - Superconductor Nanowires: Stray Field and Exchange Field
• Superconductivity and quantized anomalous Hall in rhombohedral graphene
• Disorder-induced half-integer quantized conductance plateau in quantum anomalous Hall insulator-superconductor structures
• Electrical probes of the non-Abelian spin liquid in Kitaev materials
• Quantum phase transition of chiral Majorana fermion in the presence of disorder
• Intrinsic topological phases in Mn${}_2$Bi${}_2$Te${}_5$ tuned by the layer magnetization
• Platform of chiral Majorana edge modes and its quantum transport phenomena
• Photoinduced $\frac{1}{2}\frac{e^2}{h}$ and $\frac{3}{2}\frac{e^2}{h}$ conductance plateaus in topological insulator-superconductor heterostructures
• Towards the manipulation of topological states of matter: A perspective from electron transport
• Noise signatures for determining chiral Majorana fermion modes
• Optical Responses of Chiral Majorana Edge States in Two-Dimensional Topological Superconductors
• Emergent Josephson current of $N=1$ chiral topological superconductor in quantum anomalous Hall insulator/superconductor heterostructures
• Distinct quantum anomalous Hall ground states induced by magnetic disorders
• Multiple Chiral Majorana Fermion Modes and Quantum Transport
• Chiral Majorana fermions in graphene from proximity-induced superconductivity
• Majorana-Josephson Interferometer
• Electrically tunable chiral Majorana edge modes in quantum anomalous Hall insulator-topological superconductor systems
• Chiral Majorana Hinge Modes in Superconducting Dirac Materials
• Volkov-Pankratov states in topological superconductors
• Vortex Lattice Structure and Topological Superconductivity in the Quantum Hall Regime
• Helical Majorana edge mode in a superconducting antiferromagnetic quantum spin Hall insulator
• Topological superconductivity in Fibonacci quasicrystals
• Laser-induced topological $s$-wave superconductivity in bilayer transition metal dichalcogenides
• Superconducting states and Majorana modes in transition-metal dichalcogenides under inhomogeneous strain
• Topological superconductivity in Landau levels
• Universal topological quantum computation with strongly correlated Majorana edge modes
• Revealing intrinsic superconductivity of the Nb/BiSbTe${}_2$Se interface
• Electric and magnetic fields tuned spin-polarized topological phases in two-dimensional ferromagnetic MnBi${}_4$Te${}_7$
• Controllable Majorana fermions on domain walls of a magnetic topological insulator
• Local Raman Spectroscopy of Chiral Majorana Edge Modes in Kitaev Spin Liquids and Topological Superconductors
• Directly probing the chirality of Majorana edge states
• Electrostatic effects of the MnBi2Te4-superconductor hetero-structures in chiral Majorana search
• From classical to quantum regime of topological surface states via defect engineering
• Chiral topological superconductivity in Josephson junction
• Inducing superconductivity in quantum anomalous Hall regime
• Topology of superconductors beyond mean-field theory
• Transport signatures of a quantum spin Hall - chiral topological superconductor junction
• Unified model for non-Abelian braiding of Majorana and Dirac fermion zero modes
• Half-integer thermal conductance in the absence of Majorana mode
• Born approximation study of the strong disorder in magnetized surface states of topological insulator
• Universal Current Correlations Induced by the Majorana and Fermionic Andreev Bound States
• Disordered Quantum Transport in Quantum Anomalous Hall Insulator-Superconductor Junctions
• Chiral Majorana Edge Modes and Vortex Majorana Zero Modes in Superconducting Antiferromagnetic Topological Insulator
• Dissipationless topological quantum computation for Majorana objects in sparse-dense mixed encoding process
• Optical conductivity of the Majorana mode at the s- and d-wave topological superconductor edge
• Quantum-anomalous-Hall current patterns and interference in thin slabs of chiral topological superconductors
• Phase diagrams of superconducting topological surface states
• Laughlin charge pumping from interplay of chiral Dirac and chiral Majorana modes
• Theory of Tunneling Effect in 1D AIII-class Topological Insulator (Nanowire) Proximity Coupled with a Superconductor
• Robust quantized thermal conductance of Majorana floating edge bands in d-wave superconductors
• Intrinsic chiral topological superconductor thin films
• Majorana Braiding Racetracks from Charge Chern Insulator - Superconductor Hybrids
• Magnetic orbital motion and 0.5$e^2/h$ conductance of quantum-anomalous-Hall hybrid strips
• Possible topological phases in quantum anomalous Hall insulator/unconventional superconductor hybrid systems
• Disorder-induced chiral and helical Majorana edge modes in a two-dimensional Ammann-Beenker quasicrystal
• Electrostatic gating and the interference of chiral Majoranas in thin slabs of magnetic topological insulators