Local spin Hall conductivity

Rauch, Tomáš; Töpler, Franziska; Mertig, Ingrid

doi:10.1103/physrevb.101.064206

Cited by 5 publications

(4 citation statements)

References 20 publications

(28 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…2, 3, 4, and 5). Indeed, using the local SHC, Rauch and Töpler have shown that bulk and boundary states give different contributions to the SHC 26 .…”

Section: Bise Electronic Structurementioning

confidence: 99%

See 1 more Smart Citation

Discovery of higher-order topological insulators using the spin Hall conductivity as a topology signature

et al. 2021

View full text Add to dashboard Cite

The discovery and realization of topological insulators, a phase of matter which hosts metallic boundary states when the d-dimension insulating bulk is confined to (d − 1)-dimensions, led to several potential applications. Recently, it was shown that protected topological states can manifest in (d − 2)-dimensions, such as hinge and corner states for three- and two-dimensional systems, respectively. These nontrivial materials are named higher-order topological insulators (HOTIs). Here we show a connection between spin Hall effect and HOTIs using a combination of ab initio calculations and tight-binding modeling. The model demonstrates how a non-zero bulk midgap spin Hall conductivity (SHC) emerges within the HOTI phase. Following this, we performed high-throughput density functional theory calculations to find unknown HOTIs, using the SHC as a criterion. We calculated the SHC of 693 insulators resulting in seven stable two-dimensional HOTIs. Our work guides novel experimental and theoretical advances towards higher-order topological insulator realization and applications.

show abstract

“…2, 3, 4, and 5). Indeed, using the local SHC, Rauch and Töpler have shown that bulk and boundary states give different contributions to the SHC 26 .…”

Section: Bise Electronic Structurementioning

confidence: 99%

“…For 2D HOTIs, the total SHC of the (d − 2)-finite system is expected to be zero since there cannot be any total currents in a system with open boundary conditions. However, in general, in the middle of any 0D flakes, the local SHC is equal to the bulk (periodic) value, e.g., for 0D TI flakes the local SHC is − e/(2π) 26 .…”

Section: Introductionmentioning

confidence: 99%

Discovery of higher-order topological insulators using the spin Hall conductivity as a topology signature

et al. 2021

View full text Add to dashboard Cite

show abstract

“…Another experimental method is measuring the spin currents generated by the spin Hall effect (SHE) [18,19]. Since spin Hall currents and spin Hall conductivity (SHC) are intimately related [20], this strategy is also useful from the theoretical point of view, where the latter can be calculated via the Kubo formula or via the real space local spin Hall conductivity [21]. In general, undoped insulators show zero midgap SHC [22].…”

mentioning

confidence: 99%

“…S2, S3, S4, and S5). Indeed, using the local SHC, Rauch and Töpler have shown that bulk and boundary states give different contributions to the SHC [21].…”

mentioning

confidence: 99%

Discovery of Higher-Order Topological Insulators using the Spin Hall Conductivity as a Topology Signature

Costa,

Schleder,

Acosta

et al. 2020

Preprint

View full text Add to dashboard Cite

The discovery and realization of topological insulators, a phase of matter which hosts metallic boundary states when the d-dimension insulating bulk is confined to (d−1)-dimensions, led to several potential applications. Recently, it was shown that protected topological states can manifest in (d − 2)-dimensions, such as hinge and corner states for three-and two-dimensional systems, respectively. These nontrivial materials are named higher-order topological insulators (HOTIs). Here we show a connection between spin Hall effect and HOTIs using a combination of ab initio calculations and tight-binding modeling. The model demonstrates how a non-zero bulk midgap spin Hall conductivity (SHC) emerges within the HOTI phase. Following this, we performed high-throughput density functional theory calculations to find unknown HOTIs, using the SHC as a criterion. We calculated the SHC of 693 insulators resulting in seven stable two-dimensional HOTIs. Our work guides novel experimental and theoretical advances towards higher-order topological insulators realization and applications.

show abstract

Staggered spin Hall conductivity

Xue

Haney

2020

Phys. Rev. B

View full text Add to dashboard Cite

Local spin Hall conductivity

Cited by 5 publications

References 20 publications

Discovery of higher-order topological insulators using the spin Hall conductivity as a topology signature

Discovery of higher-order topological insulators using the spin Hall conductivity as a topology signature

Discovery of Higher-Order Topological Insulators using the Spin Hall Conductivity as a Topology Signature

Staggered spin Hall conductivity

Contact Info

Product

Resources

About