Lattice distortion induced first and second order topological phase transition in rectangular high-T${}_{\mathrm{c}}$ superconducting monolayer

Abstract

We theoretically study the lattice distortion induced first and second order topological phase transition in rectangular FeSe${}_x$Te${}_{1-x}$ monolayer. When compressing the lattice constant in one direction, our first principles calculation shows that the FeSe${}_x$Te${}_{1-x}$ undergoes a band inversion at $\Gamma$ point in a wide dopping range, say $x\in (0.0,0.7)$, which ensures coexistence of the topological band state and the high-T${}_{\mathrm{c}}$ superconductivity. This unidirectional pressure also leads to the C${}_4$ symmetry breaking which is necessary for the monolayer FeSe${}_x$Te${}_{1-x}$ to support Majorana corner states in the either presence or absence of time-reversal symmetry. Particularly, we use $k\cdot p$ methods to fit the band structure from the first principles calculation and found that the edge states along the $(100)$ and $(010)$ directions have different Dirac energy due to C${}_4$ symmetry breaking. This is essential to obtain Majorana corner states in D class without concerning the details of the superconducting pairing symmetries and Zeeman form, which can potentially bring advantages in the experimental implementation.

arXiv comment6 pages, 4 figures

References in corpus (67)

• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
• Maximally localized Wannier functions: Theory and applications
• Helical liquids and Majorana bound states in quantum wires
• WannierTools: An open-source software package for novel topological materials
• A generic new platform for topological quantum computation using semiconductor heterostructures
• Higher-Order Topological Insulators
• Superconductivity in Iron Compounds
• Electric Multipole Moments, Topological Multipole Moment Pumping, and Chiral Hinge States in Crystalline Insulators
• Low-energy effective Hamiltonian involving spin-orbit coupling in Silicene and Two-Dimensional Germanium and Tin
• Interface induced high temperature superconductivity in single unit-cell FeSe films on SrTiO3
• Majorana fermions in a tunable semiconductor device
• Superconductivity in single-layer films of FeSe with a transition temperature above 100 K
• Gap symmetry and structure of Fe-based superconductors
• $(d-2)$-dimensional edge states of rotation symmetry protected topological states
• Reflection symmetric second-order topological insulators and superconductors
• Higher-order topological insulators and semimetals on the breathing Kagome and pyrochlore lattices
• Higher-Order Topology in Bismuth
• Observation of topological superconductivity on the surface of an iron-based superconductor
• Electronic Origin of High Temperature Superconductivity in Single-Layer FeSe Superconductor
• Higher-order topological insulators and superconductors protected by inversion symmetry
• Reply to Comment on "Unconventional s-wave superconductivity in Fe(Se,Te)"
• Second-order topological insulators and superconductors with an order-two crystalline symmetry
• Majorana corner modes in a high-temperature platform
• Topological nature of FeSe${}_{0.5}$Te${}_{0.5}$ superconductor
• Topological Superconductor Bi2Te3/NbSe2 heterostructures
• Surface State Magnetization and Chiral Edge States on Topological Insulators
• Topological superconductivity on the surface of Fe-based superconductors
• Multiple topological states in iron-based superconductors
• High-Temperature Majorana Corner States
• Nearly quantized conductance plateau of vortex zero mode in an iron-based superconductor
• Robust and clean Majorana zero mode in the vortex core of high-temperature superconductor (Li0.84Fe0.16)OHFeSe
• Weak-Pairing Higher Order Topological Superconductors
• Common Electronic Origin of Superconductivity in (Li,Fe)OHFeSe Bulk Superconductor and Single-Layer FeSe/SrTiO3 Films
• Observation of half-integer level shift of vortex bound states in an iron-based superconductor
• Majorana Kramers pairs in higher-order topological insulators
• d-wave pairing from spin fluctuations in the KxFe{2-y}Se2 superconductors
• Minimal model for higher-order topological insulators and phosphorene
• Plain s-wave superconductivity in single-layer FeSe on SrTiO3 probed by scanning tunneling microscopy
• Spin dynamics and an orbital-antiphase pairing symmetry in iron-based superconductors
• Tunable Majorana corner states in a two-dimensional second-order topological superconductor induced by magnetic fields
• Higher Order Topology and Nodal Topological Superconductivity in Fe(Se,Te) Heterostructures
• Helical Hinge Majoranas in Iron-Based Superconductors
• Topological Characters in Fe(Te${}_{1-x}$Se${}_x$) thin films
• The Electron Pairing of K${}_x$Fe${}_{2-y}$Se${}_2$
• Inversion-protected higher order topological superconductivity in monolayer WTe${}_2$
• Magnetic second-order topological insulators and semimetals
• Superconducting gap anisotropy in monolayer FeSe thin film
• Symmetry analysis of possible superconducting states in KxFe2Se2 superconductors
• Onset of the Meissner effect at 65 K in FeSe thin film grown on Nb doped SrTiO3 substrate
• Lattice symmetry assisted second order topological superconductors and Majorana patterns
• Topological crystalline superconductivity and second-order topological superconductivity in nodal-loop materials
• Atomic and electronic structures of FeSe monolayer and bilayer thin films on SrTiO${}_3$ (001): a first-principles study
• Non-Abelian Majorana Doublets in Time-Reversal Invariant Topological Superconductor
• FeTe${}_{1-x}$Se${}_x$ monolayer films: towards the realization of high-temperature connate topological superconductivity
• Observation of high-Tc superconductivity in rectangular FeSe/STO(110) monolayer
• Robustness of s-wave Pairing in Electron-Overdoped ${\text{A}}_{1-y}{\text{Fe}}_{2-x}{\text{Se}}_2$
• Resilient nodeless $d$-wave superconductivity in monolayer FeSe
• Theory for superconductivity in (Tl,K)Fe${}_x$Se${}_2$ as a doped Mott insulator
• Fermiology, Orbital Order, Orbital Fluctuation and Cooper Pairing in Iron-based Superconductors
• Strong and weak second-order topological insulators with hexagonal symmetry and ${\mathbb{Z}}_3$ index
• Majorana Corner Modes in a Second-Order Kitaev Spin Liquid
• Observation of topological transition in high-T${}_c$ superconductor FeTe${}_{1-x}$Se${}_x$/SrTiO${}_3$(001) monolayers
• Detection of second-order topological superconductors by Josephson junctions
• Evidence for d-wave superconductivity in single layer FeSe/SrTiO3 probed by quasiparticle scattering off step edges
• High-$T_c$ Superconductor Fe(Se,Te) Monolayer: an Intrinsic, Scalable and Electrically-tunable Majorana Platform
• Superconducting proximity effect in a topological insulator using Fe(Te,Se)

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