Dynamics of the spin Hall effect in topological insulators and graphene

B. Dóra, Roderich Moessner

Research output: Contribution to journalArticle

22 Citations (Scopus)

Abstract

A single two-dimensional Dirac cone with a mass gap produces a quantized (spin) Hall step in the absence of magnetic field. What happens in strong electric fields? This question is investigated by analyzing time evolution and dynamics of the spin Hall effect. After switching on a longitudinal electric field, a stationary Hall current is reached through damped oscillations. The Hall conductivity remains quantized as long as the electric field (E) is too weak to induce Landau-Zener transitions, but quantization breaks down for strong fields and the conductivity decreases as 1/√E. These apply to the spin-Hall conductivity of graphene and the Hall and magnetoelectric response of topological insulators.

Original languageEnglish
Article number073403
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume83
Issue number7
DOIs
Publication statusPublished - Feb 15 2011

Fingerprint

Spin Hall effect
Graphite
Graphene
Hall effect
graphene
Electric fields
insulators
conductivity
electric fields
Hall currents
Cones
cones
breakdown
Magnetic fields
oscillations
magnetic fields

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Electronic, Optical and Magnetic Materials

Cite this

Dynamics of the spin Hall effect in topological insulators and graphene. / Dóra, B.; Moessner, Roderich.

In: Physical Review B - Condensed Matter and Materials Physics, Vol. 83, No. 7, 073403, 15.02.2011.

Research output: Contribution to journalArticle

@article{a96e3032d75f434eaf9898a3d4007a9b,
title = "Dynamics of the spin Hall effect in topological insulators and graphene",
abstract = "A single two-dimensional Dirac cone with a mass gap produces a quantized (spin) Hall step in the absence of magnetic field. What happens in strong electric fields? This question is investigated by analyzing time evolution and dynamics of the spin Hall effect. After switching on a longitudinal electric field, a stationary Hall current is reached through damped oscillations. The Hall conductivity remains quantized as long as the electric field (E) is too weak to induce Landau-Zener transitions, but quantization breaks down for strong fields and the conductivity decreases as 1/√E. These apply to the spin-Hall conductivity of graphene and the Hall and magnetoelectric response of topological insulators.",
author = "B. D{\'o}ra and Roderich Moessner",
year = "2011",
month = "2",
day = "15",
doi = "10.1103/PhysRevB.83.073403",
language = "English",
volume = "83",
journal = "Physical Review B-Condensed Matter",
issn = "0163-1829",
publisher = "American Physical Society",
number = "7",

}

TY - JOUR

T1 - Dynamics of the spin Hall effect in topological insulators and graphene

AU - Dóra, B.

AU - Moessner, Roderich

PY - 2011/2/15

Y1 - 2011/2/15

N2 - A single two-dimensional Dirac cone with a mass gap produces a quantized (spin) Hall step in the absence of magnetic field. What happens in strong electric fields? This question is investigated by analyzing time evolution and dynamics of the spin Hall effect. After switching on a longitudinal electric field, a stationary Hall current is reached through damped oscillations. The Hall conductivity remains quantized as long as the electric field (E) is too weak to induce Landau-Zener transitions, but quantization breaks down for strong fields and the conductivity decreases as 1/√E. These apply to the spin-Hall conductivity of graphene and the Hall and magnetoelectric response of topological insulators.

AB - A single two-dimensional Dirac cone with a mass gap produces a quantized (spin) Hall step in the absence of magnetic field. What happens in strong electric fields? This question is investigated by analyzing time evolution and dynamics of the spin Hall effect. After switching on a longitudinal electric field, a stationary Hall current is reached through damped oscillations. The Hall conductivity remains quantized as long as the electric field (E) is too weak to induce Landau-Zener transitions, but quantization breaks down for strong fields and the conductivity decreases as 1/√E. These apply to the spin-Hall conductivity of graphene and the Hall and magnetoelectric response of topological insulators.

UR - http://www.scopus.com/inward/record.url?scp=79961094176&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=79961094176&partnerID=8YFLogxK

U2 - 10.1103/PhysRevB.83.073403

DO - 10.1103/PhysRevB.83.073403

M3 - Article

AN - SCOPUS:79961094176

VL - 83

JO - Physical Review B-Condensed Matter

JF - Physical Review B-Condensed Matter

SN - 0163-1829

IS - 7

M1 - 073403

ER -