Orbital Hall responses in disordered topological materials

We report an efficient numerical approach to compute the different components of the orbital Hall responses in disordered topological materials from the Berry phase theory of magnetization. The theoretical framework is based on the Chebyshev expansion of Green's functions and the off-diagonal elements of the position operator for systems under arbitrary boundary conditions. The capability of this scheme is shown by computing the orbital Hall conductivity for gapped graphene and for the Haldane model in the presence of nonperturbative disorder effects. This methodology enables realistic simulations of orbital Hall responses in highly complex models of disordered materials.

Authors

Institutions

Publication Details

Journal
Physical review. B./Physical review. B
Published
2024-10-28
DOI
https://doi.org/10.1103/physrevb.110.l140201
Citations
9
Primary Topic
Topological Materials and Phenomena
Type
article
Field-Weighted Citation Impact
3.04

Funders

Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Orbital Hall responses in disordered topological materials

Luis M. Canonico, Stephan Roche, José H. García
9 citations
Physical review. B./Physical review. B
Topological Materials and Phenomena
3.04
article

Orbital Hall responses in disordered topological materials

Luis M. Canonico, Stephan Roche, José H. García
article en
9 citations

Abstract

We report an efficient numerical approach to compute the different components of the orbital Hall responses in disordered topological materials from the Berry phase theory of magnetization. The theoretical framework is based on the Chebyshev expansion of Green's functions and the off-diagonal elements of the position operator for systems under arbitrary boundary conditions. The capability of this scheme is shown by computing the orbital Hall conductivity for gapped graphene and for the Haldane model in the presence of nonperturbative disorder effects. This methodology enables realistic simulations of orbital Hall responses in highly complex models of disordered materials.

Physical review. B./Physical review. BVol. 110(14)
Institució Catalana de Recerca i Estudis Avançats (ES), Consejo Superior de Investigaciones Científicas (ES), Institut Català de Nanociència i Nanotecnologia (ES)
Centres de Recerca de Catalunya, Institut Català de Nanociència i Nanotecnologia, European Commission, Generalitat de Catalunya, Ministerio de Ciencia e Innovación, Horizon 2020, Agencia Estatal de Investigación
Climate action
Openalex Percentile: Top 8%
Topological Materials and Phenomena
3.04
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.