Chiral Majorana Hinge Modes in Superconducting Dirac Materials

Abstract

Chiral Majorana hinge modes are characteristic of a second-order topological superconductor in three dimensions. Here we systematically study pairing symmetry in the point group D_{2h}, and find that the leading pairing channels can be of s-, d-, and s+id-wave pairing in Dirac materials. Except for the odd-parity s-wave pairing superconductivity, the s+id-wave pairing superconductor is topologically nontrivial and possesses Majorana hinge and surface modes. The chiral Majorana hinge modes can be characterized by a winding number of the quadrupole moment, or quantized quadruple moment at the symmetrically invariant point. Our findings suggest the strong spin-orbital coupling, crystalline symmetries and electron-electron interaction in the Dirac materials may provide a microscopic mechanism to realize chiral Majorana hinge modes without utilizing the proximity effect or external fields.

arXiv comment7pages with 3 figues and 1 table

References in corpus (87)

• Fault-tolerant quantum computation by anyons
• Non-Abelian Anyons and Topological Quantum Computation
• Unpaired Majorana fermions in quantum wires
• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
• Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries, and the fractional quantum Hall effect
• New directions in the pursuit of Majorana fermions in solid state systems
• Evidence of Majorana fermions in an Al - InAs nanowire topological superconductor
• Observation of Majorana Fermions in Ferromagnetic Atomic Chains on a Superconductor
• Quantized Electric Multipole Insulators
• Non-abelian statistics of half-quantum vortices in p-wave superconductors
• Search for Majorana fermions in superconductors
• Higher-Order Topological Insulators
• Electric Multipole Moments, Topological Multipole Moment Pumping, and Chiral Hinge States in Crystalline Insulators
• Observation of the fractional ac Josephson effect: the signature of Majorana particles
• Topolectrical circuit realization of topological corner modes
• Reflection symmetric second-order topological insulators and superconductors
• Observation of a phononic quadrupole topological insulator
• Realizing Majorana zero modes in superconductor-semiconductor heterostructures
• Higher-order topological insulators and semimetals on the breathing Kagome and pyrochlore lattices
• Higher-Order Topology in Bismuth
• Colloquium: Majorana Fermions in nuclear, particle and solid-state physics
• Demonstration of a quantized microwave quadrupole insulator with topologically protected corner states
• Odd-Parity Topological Superconductors: Theory and Application to Cu${}_x$Bi${}_2$Se${}_3$
• Evidence for Majorana bound state in an iron-based superconductor
• Observation of Majorana fermions with spin selective Andreev reflection in the vortex of topological superconductor
• Chiral Topological Superconductor From the Quantum Hall State
• Higher-order topological insulators and superconductors protected by inversion symmetry
• Quantized Majorana conductance
• Chiral Majorana edge state in a quantum anomalous Hall insulator-superconductor structure
• Observation of second-order topological insulators in sonic crystals
• Fermion zero modes on vortices in chiral superconductors
• Topological Quantum Computation Based on Chiral Majorana Fermions
• Transition-Metal Pentatelluride ZrTe${}_5$ and HfTe${}_5$: a Paradigm for Large-gap Quantum Spin Hall Insulators
• Majorana corner modes in a high-temperature platform
• Topological odd-parity superconductors
• Electronic Evidence of Temperature-Induced Lifshitz Transition and Topological Nature in ZrTe5
• High-Temperature Majorana Corner States
• Higher Order Topological Phases: A General Principle of Construction
• Weak-Pairing Higher Order Topological Superconductors
• Chiral topological superconductor and half-integer conductance plateau from quantum anomalous Hall plateau transition
• Majorana Kramers pairs in higher-order topological insulators
• An anomalous higher-order topological insulator
• Observation of a Majorana zero mode in a topologically protected edge channel
• Using Gap Symmetry and Structure to Reveal the Pairing Mechanism in Fe-based Superconductors
• Majorana corner states in a two-dimensional magnetic topological insulator on a high-temperature superconductor
• Second Order Topological Superconductivity in $\pi$-Junction Rashba Layers
• Higher Order Topology and Nodal Topological Superconductivity in Fe(Se,Te) Heterostructures
• Evidence for a strain tuned topological phase transition in ZrTe5
• Pressure-induced semimetal to superconductor transition in a three-dimensional topological material ZrTe5
• Symmetry Enforced Chiral Hinge States and Surface Quantum Anomalous Hall Effect in Magnetic Axion Insulator ${\text{Bi}}_{2-x}{\text{Sm}}_x{\text{Se}}_3$
• Helical Hinge Majoranas in Iron-Based Superconductors
• Non-Majorana Origin of the Half-Quantized Conductance Plateau in Quantum Anomalous Hall Insulator and Superconductor Hybrid Structures
• Topological Phase Transitions in Disordered Electric Quadrupole Insulators
• Many-Body Electric Multipole Operators in Extended Systems
• Many-Body Order Parameters for Multipoles in Solids
• Higher-order topological odd-parity superconductors
• Conductance and noise signatures of Majorana backscattering
• Topological insulator and the Dirac equation
• Interacting fermions on the honeycomb bilayer: from weak to strong coupling
• Second-order Topological Superconductors with Mixed Pairing
• Inversion-protected higher order topological superconductivity in monolayer WTe${}_2$
• Superconductivity in three-dimensional spin-orbit coupled semimetals
• In-plane Zeeman field induced Majorana corner and hinge modes in an $s$-wave superconductor heterostructure
• Lattice symmetry assisted second order topological superconductors and Majorana patterns
• Pairing states of spin-3/2 fermions: Symmetry-enforced topological gap functions
• A mechanism of $\frac{e^2}{2h}$ conductance plateau without 1D chiral Majorana fermions
• Proximity-induced Majorana hinge modes in antiferromagnetic topological insulators
• Higher-order topological superconductors in $\mathcal{P}$-, $\mathcal{T}$-odd quadrupolar Dirac materials
• First- and Second-Order Topological Superconductivity and Temperature-Driven Topological Phase Transitions in the Extended Hubbard Model with Spin-Orbit Coupling
• Disorder-induced half-integer quantized conductance plateau in quantum anomalous Hall insulator-superconductor structures
• Higher-Order Topological Superconductivity of Spin-Polarized Fermions
• Phase tunable second-order topological superconductor
• Higher-Order Topological Dirac Superconductors
• All-electrically tunable networks of Majorana bound states
• Higher-order topological superconductivity: possible realization in Fermi gases and Sr${}_2$RuO${}_4$
• Vortex and Surface Phase Transitions in Superconducting Higher-order Topological Insulators
• Classification of multipole superconductivity in multi-orbital systems and its implications
• Interferometric and noise signatures of Majorana fermion edge states in transport experiments
• Majorana corner modes with solitons in an attractive Hubbard-Hofstadter model of cold atom optical lattices
• Quantum phase transition of chiral Majorana fermion in the presence of disorder
• Detection of second-order topological superconductors by Josephson junctions
• Distinguishing between $s+id$ and $s+is$ pairing symmetries in multiband superconductors through spontaneous magnetization pattern induced by a defect
• Topological States in Generalized Electric Quadrupole Insulators
• Dirac Polarons and Resistivity Anomaly in ZrTe5 and HfTe5
• Majorana corner flat bands in two-dimensional second-order topological superconductors
• Majorana-Josephson Interferometer
• Magnetic signatures of domain walls in $s+is$ and $s+id$ superconductors: observability and what that can tell us about the superconducting order parameter

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• Higher-order topological phases on fractal lattices
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• Surface Bogoliubov-Dirac cones and helical Majorana hinge modes in superconducting Dirac semimetals
• Sublattice-sensitive Majorana Modes
• High-temperature Majorana corner modes in a $d+i{d}^{\prime }$ superconductor heterostructure: Application to twisted bilayer cuprate superconductors
• Time evolution of Majorana corner modes in Floquet second-order topological superconductor
• Majorana corner modes and flat-band Majorana edge modes in superconductor/topological-insulator/superconductor junctions
• Controlling Majorana modes by $p$-wave pairing in two-dimensional $p+id$ topological superconductors
• Majorana corner states in an attractive quantum spin Hall insulator with opposite in-plane Zeeman energy at two sublattice sites
• Mixed-parity octupolar pairing and corner Majorana modes in three dimensions
• Higher-order topological phases for time-reversal-symmetry breaking superconductivity in UTe${}_2$
• Higher-order topological superconductivity in type-II time-reversal-symmetric Weyl semimetals with a hybrid pairing
• Euler band topology in superfluids and superconductors