Bilayer Haldane system: Topological characterization and adiabatic passages connecting Chern phases

@article{Bhattacharjee2020BilayerHS,
  title={Bilayer Haldane system: Topological characterization and adiabatic passages connecting Chern phases},
  author={Sourav Bhattacharjee and Souvik Bandyopadhyay and Diptiman Sen and Amit Kumar Dutta},
  journal={arXiv: Statistical Mechanics},
  year={2020}
}
We present a complete topological characterization of a bilayer composite of two Chern insulators (specifically, Haldane models) and explicitly establish the bulk-boundary correspondences. We show that the non-Abelian Chern number (NACN) accurately maps out all the possible phases of the system as it remains well-defined even in the presence of degeneracies in the occupied bands. Importantly, our result paves the way for realizing adiabatic preparation of monolayer Chern insulators. This has… 

Figures from this paper

References

SHOWING 1-10 OF 60 REFERENCES
Preparing Atomic Topological Quantum Matter by Adiabatic Nonunitary Dynamics.
TLDR
An experimentally feasible protocol for preparing topological states such as Chern insulators by coupleing the target system to a conjugate system so as to prepare a symmetry protected topological phase in an extended system by intermittently breaking the protecting symmetry.
Bulk topological proximity effect in multilayer systems
We investigate the bulk topological proximity effect in multilayer hexagonal lattice systems by which one can introduce topological properties into a system composed of multiple trivial layers by
Dissipative preparation of many-body Floquet Chern insulators
Considering coupling to a microstructured bath as a relaxation mechanism in a periodically driven dissipative Haldane model, we establish that the system may be tuned to a stroboscopic topological
Dynamical Singularities of Floquet Higher-Order Topological Insulators.
TLDR
This work establishes a systematic route to construct and characterize Floquet higher-order topological phases by introducing dynamical topological invariants from the full unitary return map and showing its phase bands contain Weyl singularities whose topological charges form dynamical multipole moments in the Brillouin zone.
J-Hui Zheng
  • and W. Hofstetter, Bulk topological proximity effect in multilayer systems, Phys. Rev. B 102, 075403
  • 2020
Kane-Mele with a twist: Quasicrystalline higher-order topological insulators with fractional mass kinks
We establish an analytic low-energy theory describing higher-order topological insulator (HOTI) phases in quasicrystalline systems. We apply this to a model consisting of two stacked Haldane models
Opportunities and Challenges in Twisted Bilayer Graphene: A Review
TLDR
The studies on twisted bilayer graphene have been exciting and challenging thus far, especially after superconductivity was reported in tBLG at the magic angle.
Robust Multiplexing with Topolectrical Higher-Order Chern Insulators
We explore an implementation of a higher-order Chern insulator in a topolectrical circuit as a platform to implement robust signal multiplexing. By utilizing basic circuit layouts that realize the
Second Chern Number and Non-Abelian Berry Phase in Topological Superconducting Systems
Topology ultimately unveils the roots of the perfect quantization observed in complex systems. The 2D quantum Hall effect is the celebrated archetype. Remarkably, topology can manifest itself even in
Second-order topological insulator and fragile topology in topological circuitry simulation
Second-order topological insulators (SOTIs) are the topological phases of matter in d dimensions that manifest (d-2)-dimensional localized modes at the intersection of the edges. We show that SOTIs
...
1
2
3
4
5
...