Zak phase and the existence of edge states in graphene

P Delplace, D Ullmo, G Montambaux - Physical Review B—Condensed Matter …, 2011 - APS
We develop a method to predict the existence of edge states in graphene ribbons for a large
class of boundaries. This approach is based on the bulk-edge correspondence between the …

Topological phases of generalized Su-Schrieffer-Heeger models

L Li, Z Xu, S Chen - Physical Review B, 2014 - APS
We study the extended Su-Schrieffer-Heeger model with both nearest-neighbor and next-
nearest-neighbor hopping strengths cyclically modulated and find the family of the model …

Mapping topological order in coordinate space

R Bianco, R Resta - Physical Review B—Condensed Matter and Materials …, 2011 - APS
The organization of the electrons in the ground state is classified by means of topological
invariants, defined as global properties of the wave function. Here we address the Chern …

Quantum quenches in Chern insulators

MD Caio, NR Cooper, MJ Bhaseen - Physical review letters, 2015 - APS
We explore the nonequilibrium response of Chern insulators. Focusing on the Haldane
model, we study the dynamics induced by quantum quenches between topological and …

Controllable excitation transmission and topological switch based on an imaginary topological channel in a non-Hermitian Su-Schrieffer-Heeger chain

L Qi, N Han, S Liu, HF Wang, AL He - Physical Review A, 2023 - APS
We show the controllable excitation transmission can be implemented based on the
topologically protected edge channel in the modulated Su-Schrieffer-Heeger model with …

Engineering the unidirectional topological excitation transmission and topological diode in the Rice-Mele model

L Qi, N Han, S Hu, AL He - Physical Review A, 2023 - APS
We show how to implement the unidirectional topological excitation transmission in the Rice-
Mele model. We find that the unidirectional excitation transmissions can be implemented via …

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 …

Topological beam splitter via defect-induced edge channel in the Rice-Mele model

L Qi, Y Xing, XD Zhao, S Liu, S Zhang, S Hu, HF Wang - Physical Review B, 2021 - APS
Topological pumping has numerous applications in quantum information processing, eg, the
spatial entanglement distribution of the two correlated particles via the disordered bulk …

Orbital magnetization as a local property

R Bianco, R Resta - Physical review letters, 2013 - APS
The modern expressions for polarization P and orbital magnetization M are k-space
integrals. But a genuine bulk property should also be expressible in r space, as an …

Topological two-body bound states in the interacting Haldane model

G Salerno, M Di Liberto, C Menotti, I Carusotto - Physical Review A, 2018 - APS
We study the topological properties of the two-body bound states in an interacting Haldane
model as a function of interparticle interactions. In particular, we identify topological phases …