Effects of correlations on phase diagrams of the two-dimensional Su–Schrieffer–Heeger model with the larger topological invariant

Du, Tao; Li, Yuexun; Lu, He-Lin; Zhang, Hui

doi:10.1016/j.physe.2021.114884

Cited by 5 publications

(2 citation statements)

References 30 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Similar behavior to that of the extended SSH chain should be present in other bipartite 1D [26,[29][30][31] and 2D [32][33][34][35] topological insulators if long-range hopping terms are introduced. A simple 2D example where the approach of this paper can be applied is that of a plane of parallel extended SSH chains with uniform or staggered hopping terms between them.…”

Section: Discussionsupporting

confidence: 56%

Long-range hopping and indexing assumption in one-dimensional topological insulators

Dias,

Marques

2021

Preprint

View full text Add to dashboard Cite

In this paper, we show that the introduction of long-range hoppings in 1D topological insulator models implies that different possibilities of site indexation must be considered when determining the bulk topological invariants in order to avoid the existence of hidden symmetries. The particular case of the extended SSH chain is addressed as an example where such behavior occurs. In this model, the introduction of long-range hopping terms breaks the bipartite property and a band inversion occurs in the band structure as the relative values of the hopping terms change, signaling a crossover between hopping parameter regions of "influence" of different chiral symmetries. Furthermore, edge states become a linear combination of edge-like states with different localization lengths and reflect the gradual transition between these different chiral symmetries.

show abstract

Section: Discussionsupporting

confidence: 56%

Long-range hopping and indexing assumption in one-dimensional topological insulators

Dias,

Marques

2021

Preprint

View full text Add to dashboard Cite

show abstract

“…the emergence of one-dimensional chiral solitons). Extensions of the original SSH model in two dimensions have also been done on the square [24][25][26][27] or honeycomb [28] lattice. These two-dimensional SSH models have zero Berry curvature everywhere in Brillouin zone (except at gap-closing points between energy bands) due to the inversion and time-reversal symmetries, and then the Zak phase or Chern number of the energy band is zero.…”

Section: Introductionmentioning

confidence: 99%

One-dimensional extended Su–Schrieffer–Heeger models as descendants of a two-dimensional topological model

Du,

Li,

et al. 2024

New J. Phys.

Self Cite

View full text Add to dashboard Cite

The topological phase diagrams and finite-size energy spectra of onedimensional extended Su-Schrieffer-Heeger models with long-range hoppings on the trimer lattice are investigated in detail. Due to the long-range hoppings, the band structure of the original Su-Schrieffer-Heeger model becomes more complicated and new phases with the large Zak phase can emerge. Furthermore, a seeming violation of bulk-edge correspondence occurs in the one-dimensional topological system whose band topology stems from the inversion symmetry. The one-dimensional models are mapped onto a two-dimensional topological model when a parameter of the one-dimensional models is regarded as an additional degree of freedom. As Fourier components of the derived two-dimensional model, phase boudaries and the finite-size spectra of onedimensional models can be recovered from the model in the higher spatial dimensions. Then the origin of edge modes of one-dimensional models can be understood from two dimensions and we give a reasonable explanation of the violation of bulk-edge correspondence in one spatial dimension. In fact, we may give a general perspective that the topological properties of one-dimensional (lower-dimensional) systems can be found their origin from two-dimensional (higher-dimensional) systems.

show abstract

Effects of Rashba spin–orbit interaction and topological defect on the magnetic properties of an electron confined in a 2D quantum dot

Ibrahim

Abusaa

Shaer

et al. 2021

Journal of Taibah University for Science

View full text Add to dashboard Cite

Effects of correlations on phase diagrams of the two-dimensional Su–Schrieffer–Heeger model with the larger topological invariant

Cited by 5 publications

References 30 publications

Long-range hopping and indexing assumption in one-dimensional topological insulators

Long-range hopping and indexing assumption in one-dimensional topological insulators

One-dimensional extended Su–Schrieffer–Heeger models as descendants of a two-dimensional topological model

Effects of Rashba spin–orbit interaction and topological defect on the magnetic properties of an electron confined in a 2D quantum dot

Contact Info

Product

Resources

About