Two‐Particle Scattering and Resistivity of Rashba Electron Gas

Nagaev, K. É.

doi:10.1002/pssr.201900536

Cited by 2 publications

(4 citation statements)

References 21 publications

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“…Its effect appears through a tensor that modifies the overlap between the scattering eigenstates unless it stems from a IIE where it simply sets the scattering magnitude. For such a convenience, this ensemble is the most employed one [22,43,44,47]. As a specific example we analyzed the case of a 2D Rashba electron gas, where we also discussed the topic of "disorder engineering" discovering how a singleimpurity disorder may be tailored to uniform the rates across the Fermi surfaces at specific energies.…”

Section: Conclusion and Perspectivementioning

confidence: 99%

“…Such a generalization would open up the possibility to study at dept the interplay between disorder and interaction. For instance, in a recent work [47], the temperature dependence of the resistivity of the Rashba gas is shown to have a different behavior above and below the Dirac point. Thus a relevant question is whether such a property is robust under a different disorder ensemble in analogy to what we have discussed in the case without interactions.…”

Section: Conclusion and Perspectivementioning

confidence: 99%

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Boltzmann electronic dc transport in multiorbital weakly disordered crystals

Marciani

2021

Phys. Rev. B

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Motivated by the increasing number of systems featuring multiple bands at low energy, we address the Boltzmann approach to transport in a multiband weakly disordered noninteracting crystal subject to a small electric field. In general, the multiband structure leads to a considerable complication of the Boltzmann equation. Indeed, even in the presence of elastic impurity scattering, one needs to compute for each band and momentum the dressed velocities, which account for scattering events. Here we provide a semianalytical solution to the Boltzmann equation that reduces such a challenging numerical task to the much simpler numerical computation of a small tensor whose dimension is set by the number of bands at the Fermi level. This approach further allows us to discuss the interplay of symmetry and disorder for different impurity types, including those originating from random-matrix Wigner ensembles. As an example of application, we consider the 2D isotropic Rashba metal and we discuss, in a full analytical fashion, how different types of disorders may break the exactness of the relaxation-time approximation and induce transport anisotropy, and may allow one to identify the presence of spin-orbit coupling as deviations of the conductivity from the Drude behavior.

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Section: Conclusion and Perspectivementioning

confidence: 99%

Section: Conclusion and Perspectivementioning

confidence: 99%

Boltzmann electronic dc transport in multiorbital weakly disordered crystals

Marciani

2021

Phys. Rev. B

View full text Add to dashboard Cite

show abstract

“…Its effect appears through a tensor that modifies the overlap between the scattering eigenstates unless it stems from a IIE where it simply sets the scattering magnitude. For such convenience this ensemble is the most employed one 20,41,44 . As a specific example we analyzed the case of a 2D Rashba electron gas, where we also discussed the topic of "disorder engineering" discovering how a single-impurity disorder may be tailored to uniform the rates across the Fermi surfaces at specific energies.…”

Section: Conclusion and Perspectivementioning

confidence: 99%

“…Such a generalization would open up the possibility to study at dept the interplay between disorder and interaction. For instance in a recent work 44 the temperature dependence of the resistivity of the Rashba gas is shown to have a different behavior above and below the Dirac point. Thus a relevant question is whether such property is robust under a different disorder ensemble in analogy to what we have discussed in the case without interactions.…”

Section: Conclusion and Perspectivementioning

confidence: 99%

Boltzmann electronic dc transport in multiorbital weakly-disordered crystals

Marciani,

Benfatto

2021

Preprint

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Motivated by the increasing number of systems featuring multiple bands at low energy, we address the Boltzmann approach to transport in a multiband weakly disordered non-interacting crystal subject to a small electric field. In general, the multiband structure leads to a considerable complication of the Boltzmann equation. Indeed, even in the presence of elastic impurity scattering one needs to compute for each band and momentum the dressed velocities, which account for scattering events. Here we provide a semi-analytical solution to the Boltzmann equation that reduces such a challenging numerical task to the much simpler numerical computation of a small tensor whose dimension is set by the number of bands at the Fermi level. This approach further allows us to discuss the interplay of symmetry and disorder for different impurity types, including those originating from random-matrix Wigner ensembles. As an example of application we consider the 2D isotropic Rashba metal and we discuss, in a full analytical fashion, how different types of disorder may break the exactness of the relaxation-time approximation and induce transport anisotropy, and may allow one to identify the presence of spin-orbit coupling as deviations of the conductivity from Drude behavior.

show abstract

Two‐Particle Scattering and Resistivity of Rashba Electron Gas

Cited by 2 publications

References 21 publications

Boltzmann electronic dc transport in multiorbital weakly disordered crystals

Boltzmann electronic dc transport in multiorbital weakly disordered crystals

Boltzmann electronic dc transport in multiorbital weakly-disordered crystals

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