Rotational symmetry breaking and partial Majorana corner states in a high-Tc superconductor based heterostructure

Abstract

Applying a microscopic model, we study theoretically the quasiparticle excitation of a twodimensional topological insulator (TI) being in proximity to a high-Tc superconductor. In the momentum space, the proximity induced pairing term in the TI layer includes both the singlet channel and triplet channel, leading to the C4 rotational symmetry breaking of the energy bands and the quasiparticle spectra. For a cylinder geometry, the zero energy edge states may appear but they are localized at the upper boundary. For the finite-size system with open boundaries, the zero energy states at the upper boundary disappear and the Majorana bound states emerge at the two lower corners. All of the results can be understood well through exploring the pairing order parameter and the anomalous Green's function.

arXiv comment8 pages,5 figures

References in corpus (45)

• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• Angle-resolved photoemission spectroscopy of the cuprate superconductors
• Topological Field Theory of Time-Reversal Invariant Insulators
• Quantum Spin Hall Effect and Topological Field Effect Transistor in Two-Dimensional Transition Metal Dichalcogenides
• Quantized Electric Multipole Insulators
• Higher-Order Topological Insulators
• Electric Multipole Moments, Topological Multipole Moment Pumping, and Chiral Hinge States in Crystalline Insulators
• $(d-2)$-dimensional edge states of rotation symmetry protected topological states
• Reflection symmetric second-order topological insulators and superconductors
• Observation of the Quantum Spin Hall Effect up to 100 Kelvin in a Monolayer Crystal
• Unconventional superconductivity on a topological insulator
• Majorana corner modes in a high-temperature platform
• Phenomenological Models for the Gap Anisotropy of Bi-2212 as Measured by ARPES
• Topological nature of FeSe${}_{0.5}$Te${}_{0.5}$ superconductor
• Topological superconductivity on the surface of Fe-based superconductors
• High-Temperature Majorana Corner States
• The Electronic Nature of High Temperature Cuprate Superconductors
• Proximity effect at the superconductor - topological insulator interface
• Impurity Bound States and Greens Function Zeroes as Local Signatures of Topology
• Proximity-induced high-temperature superconductivity in topological insulators Bi2Se3 and Bi2Te3
• Fully gapped topological surface states in Bi${}_2$Se${}_3$ films induced by a d-wave high-temperature superconductor
• 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
• Topological Characters in Fe(Te${}_{1-x}$Se${}_x$) thin films
• Helical Hinge Majoranas in Iron-Based Superconductors
• Interplay between Superconductivity and Ferromagnetism on a Topological Insulator
• Second-order Topological Superconductors with Mixed Pairing
• Proximity-induced unconventional superconductivity in topological insulators
• Second-order Dirac superconductors and magnetic field induced Majorana hinge modes
• In-plane Zeeman field induced Majorana corner and hinge modes in an $s$-wave superconductor heterostructure
• Metallization of Rashba wire by superconducting layer in the strong-proximity regime
• Lattice symmetry assisted second order topological superconductors and Majorana patterns
• Odd-frequency superconducting pairing in topological insulators
• First- and Second-Order Topological Superconductivity and Temperature-Driven Topological Phase Transitions in the Extended Hubbard Model with Spin-Orbit Coupling
• Topological quantum states of matter in iron-based superconductors: From concepts to material realization
• Vortex and Surface Phase Transitions in Superconducting Higher-order Topological Insulators
• Majorana corner modes with solitons in an attractive Hubbard-Hofstadter model of cold atom optical lattices
• Unconventional proximity-induced superconductivity in bilayer systems
• Destructive interference of direct and crossed Andreev pairing in a system of two nanowires coupled via an s-wave superconductor
• Superconducting proximity effect in a topological insulator using Fe(Te,Se)
• Realizing Majorana Zero Modes by Proximity Effect between Topological Insulators and d-wave High-Temperature Superconductors
• Twofold symmetry of proximity-induced superconductivity in Bi${}_2$Te${}_3$/Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$ heterostructures revealed by scanning tunneling microscopy
• Controversy over large proximity induced s wave like pairing from a d wave superconductor
• Proximity effect in a heterostructure of a high $T_c$ superconductor with a topological insulator from Dynamical mean field theory

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• Sublattice-enriched tunability of bound states in second-order topological insulators and superconductors
• Sublattice-sensitive Majorana Modes
• Tunable Majorana corner modes by orbital-dependent exchange interaction in a two-dimensional topological superconductor
• Majorana corner states in an attractive quantum spin Hall insulator with opposite in-plane Zeeman energy at two sublattice sites
• Higher order topological state induced by $d$-wave competing orders in high-T${}_c$ superconductor based heterostructure
• Proximity effect and inverse proximity effect in a topological-insulator/iron-based-superconductor heterostructure
• Corner Flat Bands Induced by $d$-Density Wave and Partial Corner State Modification Due to Competition with $d$-Wave Superconductivity