TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.13.1.009
TI  - 2D topological matter from a boundary Green's functions perspective: Faddeev-LeVerrier algorithm implementation
PY  - 2022/07/25
UR  - https://www.scipost.org/SciPostPhys.13.1.009
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 13
IS  - 1
SP  - 009
A1  - Alvarado, Miguel
AU  - Yeyati, Alfredo Levy
AB  - Since the breakthrough of twistronics a plethora of topological phenomena in correlated systems has appeared. These devices can be typically analyzed in terms of lattice models using Green's function techniques. In this work we introduce a general method to obtain the boundary Green's function of such models taking advantage of the numerical Faddeev-LeVerrier algorithm to circumvent some analytical constraints of previous works. We illustrate our formalism analyzing the edge features of a Chern insulator, the Kitaev square lattice model for a topological superconductor and the Checkerboard lattice hosting topological flat bands. The efficiency and accuracy of the method is demonstrated by comparison to standard recursive Green's function calculations and direct diagonalizations.
ER  -

@Article{10.21468/SciPostPhys.13.1.009,
	title={{2D topological matter from a boundary Green's functions perspective: Faddeev-LeVerrier algorithm implementation}},
	author={Miguel Alvarado and Alfredo Levy Yeyati},
	journal={SciPost Phys.},
	volume={13},
	pages={009},
	year={2022},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.13.1.009},
	url={https://scipost.org/10.21468/SciPostPhys.13.1.009},
}