2014
DOI: 10.1063/1.4892892
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Transport on the surface of a topological insulator

Abstract: We study theoretically dc and ac transport on the surface of a three-dimensional topological insulator when its time-reversal symmetry is broken. Starting with a Kubo formula, we derive an explicit expression for the dc Hall conductivity, valid for finite temperatures. At zero temperature this expression gives the dc half-quantum Hall conductivity, provided the Fermi level lies in the gap. Corrections when the Fermi level is outside the gap and scattering by impurities are quantified. The longitudinal conducti… Show more

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Cited by 6 publications
(9 citation statements)
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“…In addition, the coupling strength between opposite spin bands becomes weaker as λ R increases. As a result, the negative part of the conductivity due to the spin-up band diminishes and σ v yx shows the usual behaviour of gapped graphene and topological insulators [54,58]. Further, as can be seen in the inset, the band gap increases with λ R .…”
Section: Conductivitiesmentioning
confidence: 83%
See 1 more Smart Citation
“…In addition, the coupling strength between opposite spin bands becomes weaker as λ R increases. As a result, the negative part of the conductivity due to the spin-up band diminishes and σ v yx shows the usual behaviour of gapped graphene and topological insulators [54,58]. Further, as can be seen in the inset, the band gap increases with λ R .…”
Section: Conductivitiesmentioning
confidence: 83%
“…, the valley-Hall conductivity is quantized in units of 2e/2h similar to the case of gapped graphene and topological insulators [54,58]. The reason is that the factor…”
Section: Conductivitiesmentioning
confidence: 96%
“…The form factor takes into account the topological features of the material. For a trivial twodimensional electron gas, this parameter is unity, while for topological surface states described by the Hamiltonian (10), it takes the form [100] F k; k 0…”
Section: Electron Transport (Theory)mentioning
confidence: 99%
“…The form factor takes into account the topological features of the material. For a trivial two‐dimensional electron gas, this parameter is unity, while for topological surface states described by the Hamiltonian (10), it takes the form Ftrue(k,boldktrue)=12true[1+cos θboldkk+normalΔ2ϵη,boldk2true(1cos θkboldktrue)true]. The dielectric function can be represented in the form ϵ ( q ) = 1 + q s / q , where q s is the inverse screening length . In the general case, q s depends on q .…”
Section: Electron Transport (Theory)mentioning
confidence: 99%
“…There does however exist qualitative differences between these two types of massless Dirac Fermions, chief among them is that the quantum spin Hall effect only exists in the surface states of TI's. Due to the linear dispersion relation around the Dirac point there has been a considerable amount of interest in the optical properties of the aforementioned two-dimensional systems 8 . It is yet to be seen however, what effect there is on the optical properties of a system whereby a coupling occurs between these two similar two-dimensional systems.…”
mentioning
confidence: 99%