Higher-order topological phases in crystalline and non-crystalline systems: a review

YB Yang, JH Wang, K Li, Y Xu - Journal of Physics: Condensed …, 2024 - iopscience.iop.org
Higher-order topological phases in crystalline and non-crystalline systems: a review Page 1
Journal of Physics: Condensed Matter ACCEPTED MANUSCRIPT • OPEN ACCESS Higher-order …

Analytic solution of the -dimensional Su-Schrieffer-Heeger model

F Liu - Physical Review B, 2023 - APS
The Su-Schrieffer-Heeger (SSH) model is fundamental in topological insulators and relevant
to understanding higher-order topological phases. This study explores the relationship …

Corner modes in non-Hermitian next-nearest-neighbor hopping model

AK Ghosh, A Saha, T Nag - Physical Review B, 2024 - APS
We consider a non-Hermitian (NH) analog of a second-order topological insulator, protected
by chiral symmetry, in the presence of next-nearest-neighbor hopping elements to …

Emerging topological bound states in Haldane model zigzag nanoribbons

S Traverso, M Sassetti, N Traverso Ziani - npj Quantum Materials, 2024 - nature.com
Zigzag nanoribbons hosting the Haldane Chern insulator model are considered. In this
context, a reentrant topological phase, characterized by the emergence of quasi zero …

Higher-order topology in Fibonacci quasicrystals

C Ouyang, Q He, DH Xu, F Liu - Physical Review B, 2024 - APS
In crystalline systems, higher-order topology, characterized by topological states of
codimension greater than one, usually arises from the mismatch between Wannier centers …

Mixed higher-order topology, and nodal and nodeless flat band topological phases in a superconducting multiorbital model

R Arouca, T Nag, AM Black-Schaffer - Physical Review B, 2024 - APS
We investigate the topological phases that appear in an orbital version of the Benalcazar-
Bernevig-Hughes (BBH) model in the presence of conventional spin-singlet s-wave …

Design of Antiferromagnetic Second-Order Band Topology with Rotation Topological Invariants in Two Dimensions

F Zhan, Z Qin, DH Xu, X Zhou, DS Ma, R Wang - Nano Letters, 2024 - ACS Publications
The existence of fractionally quantized topological corner charge serves as a key indicator
for two-dimensional (2D) second-order topological insulators (SOTIs), yet it has not been …

Disorder-induced phase transitions in three-dimensional chiral second-order topological insulator

Y Shen, Z Li, Q Niu, Z Qiao - Physical Review B, 2024 - APS
Topological insulators have been extended to higher-order versions that possess
topological hinge or corner states in lower dimensions. However, their robustness against …

Topological characterization of special edge modes from the winding of relative phase

S Saha, T Nag, S Mandal - arXiv preprint arXiv:2306.08100, 2023 - arxiv.org
The symmetry-constrained topological invariant fails to explain the emergence of the special
edge modes when system does not preserve discrete symmetries. The inversion or chiral …

Emergent topological phases in an extended Su-Schrieffer-Heeger model with Rashba spin-orbit interaction, higher order hopping and domain wall

HK Sharma, A Saha, S Mandal - arXiv preprint arXiv:2410.10477, 2024 - arxiv.org
We theoretically investigate emergent topological phases in an extended spin-full Su-
Schrieffer-Heeger (SSH) model considering Rashba spin-orbit interaction, all possible …