Twisted-bilayer FeSe and the Fe-based superlattices

Abstract

We derive BM-like continuum models for the bands of superlattice heterostructures formed out of Fe-chalcogenide monolayers: ($\text{I}$) a single monolayer experiencing an external periodic potential, and ($\text{I}\mathbf{I}$) twisted bilayers with long-range moire tunneling. A symmetry derivation for the inter-layer moire tunnelling is provided for both the $\Gamma$ and $M$ high-symmetry points. In this paper, we focus on moire bands formed from hole-band maxima centered on $\Gamma$, and show the possibility of moire bands with $C=0$ or $\pm 1$ topological quantum numbers without breaking time-reversal symmetry. In the $C=0$ region for $\theta \to 0$ (and similarly in the limit of large superlattice period for $\text{I}$), the system becomes a square lattice of 2D harmonic oscillators. We fit our model to FeSe and argue that it is a viable platform for the simulation of the square Hubbard model with tunable interaction strength.

35 pages; 18 figs; Changed name from "Minimal continuum models in Fe-based superlattices"

References in corpus (32)

• Quantum ESPRESSO: a modular and open-source software project for quantum simulations of materials
• Superconductivity in single-layer films of FeSe with a transition temperature above 100 K
• Flat Bands in Slightly Twisted Bilayer Graphene
• Lattice relaxation and energy band modulation in twisted bilayer graphenes
• Emergence of the nematic electronic state in FeSe
• Ironing out the details of unconventional superconductivity
• Reconstruction of Band Structure Induced by Electronic Nematicity in an FeSe Superconductor
• The key ingredients of the electronic structure of FeSe
• Monolayer FeSe on SrTiO${}_3$
• The insulator/Chern-insulator transition in the Haldane model
• High-temperature topological superconductivity in twisted double layer copper oxides
• The Quantum Twisting Microscope
• Gauge-Fixed Wannier Wave-Functions for Fractional Topological Insulators
• Plaquette versus ordinary $d$-wave pairing in the $t^{\prime }$-Hubbard model on a width 4 cylinder
• Formation of Hubbard-like bands as a fingerprint of strong electron-electron interactions in FeSe
• Suppression of electronic correlations by chemical pressure from FeSe to FeS
• Optical properties of massive anisotropic tilted Dirac systems
• Intrinsic Time-reversal-invariant Topological Superconductivity in Thin Films of Iron-based Superconductors
• General continuum model for twisted bilayer graphene and arbitrary smooth deformations
• Pseudo-magnetic fields, particle-hole asymmetry, and microscopic effective continuum Hamitonians of twisted bilayer graphene
• Continuum effective Hamiltonian for graphene bilayers for an arbitrary smooth lattice deformation from microscopic theories
• Topological exact flat bands in two dimensional materials under periodic strain
• Emergent Interfacial Superconductivity between Twisted Cuprate Superconductors
• Twisted van der Waals Josephson junction based on high-Tc superconductor
• Quantum Antiferromagnetism of Fermions in Optical Lattices with Half-filled p-band
• Current- and field-induced topology in twisted nodal superconductors
• Dichotomy of superconductivity between monolayer FeS and FeSe
• Synthetic non-Abelian gauge fields and gravitomagnetic effects in tilted Dirac cone systems
• Superconducting FeSe monolayer with milli-electron volt Fermi energy
• Structural and electronic properties of ultrathin FeSe films grown on Bi${}_2$Se${}_3$(0001) studied by STM/STS
• Tunable Dirac points in a two-dimensional non-symmorphic wallpaper group lattice
• Possible pairing symmetry in the FeSe-based superconductors determined by quasiparticle interference

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• Site-selective insulating phase in twisted bilayer Hubbard model
• Tunable $t-t^{\prime }-U$ Hubbard models in twisted square homobilayers
• Fractional Chern insulator candidate in twisted bilayer checkboard lattice
• Band theory for heterostructures with interface superlattices
• Ideal topological flat bands in chiral symmetric moiré systems from non-holomorphic functions
• Symmetry-based classification of exact flat bands in single and bilayer moiré systems
• Unconventional Fractional Phases in Multi-Band Vortexable Systems
• Robustness of real-space topology in moiré systems
• Engineering Hubbard models with gated two-dimensional moiré systems