Antiferromagnetic Topological Superconductor and Electrically Controllable Majorana Fermions

Abstract

We investigate the realization of a topological superconductor in a generic bucked honeycomb system equipped with four types of mass-generating terms, where the superconductor gap is introduced by attaching the honeycomb system to an $s$-wave superconductor. Constructing the topological phase diagram, we show that Majorana modes are formed in the phase boundary. In particular, we analyze the honeycomb system with antiferromagnetic order in the presence of perpendicular electric field $E_z$. It becomes topological for $|E_z|>E_z^{\text{cr}}$ and trivial for $|E_z|<E_z^{\text{cr}}$, with $E_z^{\text{cr}}$ a certain critical field. It is possible to create a topological spot in a trivial superconductor by controlling applied electric field. One Majorana zero-energy bound state appears at the phase boundary. We can arbitrarily control the position of the Majorana fermion by moving the spot of applied electric field, which will be made possible by a scanning tunneling microscope probe.

5 pages, 3 figures

References in corpus (23)

• Topological insulators and superconductors
• Quantum Spin Hall Effect in Graphene
• Non-Abelian Anyons and Topological Quantum Computation
• $Z_2$ Topological Order and the Quantum Spin Hall Effect
• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Unpaired Majorana fermions in quantum wires
• Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries, and the fractional quantum Hall effect
• Classification of topological insulators and superconductors in three spatial dimensions
• New directions in the pursuit of Majorana fermions in solid state systems
• Non-abelian statistics of half-quantum vortices in p-wave superconductors
• Search for Majorana fermions in superconductors
• Low-energy effective Hamiltonian involving spin-orbit coupling in Silicene and Two-Dimensional Germanium and Tin
• Transport properties of non-equilibrium systems under the application of light: Photo-induced quantum Hall insulators without Landau levels
• Valley-Polarized Metals and Quantum Anomalous Hall Effect in Silicene
• Introduction to topological superconductivity and Majorana fermions
• Topological Insulator and Helical Zero Mode in Silicene under Inhomogeneous Electric Field
• Chiral Topological Superconductor From the Quantum Hall State
• Photo-Induced Topological Phase Transition and a Single Dirac-Cone State in Silicene
• Coupling the valley degree of freedom to antiferromagnetic order
• Spin-Valleytronics in Silicene: Quantum-Spin-Quantum-Anomalous Hall Insulators and Single-Valley Semimetals
• Topological Phase Transition without Gap Closing
• Electrically Tunable Topological State in [111] Perovskite Materials with Antiferromagnetic Exchange Field
• Topological Phase Transition and Electrically Tunable Diamagnetism in Silicene

Cited by in corpus (13)

• Classification of topological quantum matter with symmetries
• Monolayer Topological Insulators: Silicene, Germanene and Stanene
• Topological surface states in nodal superconductors
• Two-dimensional topological superconductivity with antiferromagnetic insulators
• Topological Anderson Insulators in Systems without Time-Reversal Symmetry
• Thermal conductance by Dirac fermions in a normal-insulator-superconductor junction of silicene
• Quantum charge pumping through resonant crossed Andreev reflection in superconducting hybrid junction of Silicene
• Magnetic Flux Control of Chiral Majorana Edge Modes in Topological Superconductor
• Optimizing Topological Switching in Confined 2D-Xene Nanoribbons via Finite-Size Effects
• Topological superconductivity in Fibonacci quasicrystals
• Photo-induced spin and valley-dependent Seebeck effect in the low-buckled Dirac materials
• High-buckled R3 stanene with topologically nontrivial energy gap
• Many-body Majorana-like zero modes without gauge symmetry breaking