Nakhmedov, Kumru, and Oppermann Reply:

Nakhmedov, É. P.; Kumru, M.; Oppermann, R.H.

doi:10.1103/physrevlett.87.239704

Cited by 10 publications

(15 citation statements)

References 4 publications

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“…The influence of this kind of disorder has been studied in detail in Ref. 25 in the case of the square lattice with nearest-neighbor hopping at half filling. Given that the analysis is based in essence on the nesting of the Fermi line, we can actually apply the results of that study with an appropriate translation of the relevant parameters.…”

Section: Discussionmentioning

confidence: 99%

Kohn-Luttinger superconductivity in graphene

2008

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We investigate the development of superconductivity in graphene when the Fermi level becomes close to one of the Van Hove singularities of the electron system. The origin of the pairing instability lies in the strong anisotropy of the e-e scattering at the Van Hove filling, which leads to a channel with attractive coupling when making the projection of the BCS vertex on the symmetry modes with nontrivial angular dependence along the Fermi line. We show that the scale of the superconducting instability may be pushed up to temperatures larger than 10 K, depending on the ability to tune the system to the proximity of the Van Hove singularity.

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Section: Discussionmentioning

confidence: 99%

Kohn-Luttinger superconductivity in graphene

2008

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“…It is well known, that scaling laws of transport quantities can be altered by the proximity to a singularity in the density of states. [24][25][26][27] In our model of the dispersion [Eq. (2)], saddle points at (π/a, 0) and (0, π/a) cause a van Hove singularity.…”

Section: Close To the Van Hove Singularitymentioning

confidence: 99%

Unconventional scaling of resistivity in two-dimensional Fermi liquids

Buhmann

2013

Phys. Rev. B

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We study the temperature dependence of the electrical resistivity of interacting two-dimensional metallic systems. We perform a numerical simulation of the nonequilibrium state based on semiclassical Boltzmann transport theory. Through our simulation, we demonstrate that deviations from the predictions of standard Fermi-liquid theory can arise due to the special scattering geometry of umklapp processes, in special cases even in the ultra-low-temperature limit. Umklapp scattering is required to relax the total momentum of the quasiparticle distribution function. We investigate the transport properties of a two-dimensional system of quasiparticles with repulsive on-site interactions and nonmagnetic impurity scattering on a square lattice with a single-orbital tight-binding model of the dispersion. We demonstrate that unconventional scaling properties of the electrical resistivity, which are often interpreted as indication of a non-Fermi-liquid state, can arise due to special geometric conditions of the Fermi surface. The appearance of robust deviations from the predictions of Fermi-liquid theory within our simple model presents a novel viewpoint in order to interpret unconventional transport properties in electron-electron scattering dominated metallic systems.Comment: 11 pages, 9 figure

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“…In this paper we calculate persistent spin current. Note that the model has been considered in our previous paper [28,29] in order to study the energy spectrum and the Fermi surface under variations of SO coupling constants, the gate electric field, the magnetic field and g-factor. Generation of a spin flux and its change under external destructive factors is still a controversial issue [30] in spintronics.…”

Section: Introductionmentioning

confidence: 99%

Out-of-plane equilibrium spin current in a quasi-two-dimensional electron gas under in-plane magnetic field

Nakhmedov

Alekperov

2012

Phys. Rev. B

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Equilibrium spin-current is calculated in a quasi-two-dimensional electron gas with finite thickness under in-plane magnetic field and in the presence of Rashba-and Dresselhaus spin-orbit interactions. The transverse confinement is modeled by means of a parabolic potential. An orbital effect of the in-plane magnetic field is shown to mix a transverse quantized spin-up state with nearestneighboring spin-down states. The out-off-plane component of the equilibrium spin current appears to be not zero in the presence of an in-plane magnetic field, provided at least two transverse-quantized levels are filled. In the absence of the magnetic field the obtained results coincide with the wellknown results, yielding cubic dependence of the equilibrium spin current on the spin-orbit coupling constants. The persistent spin-current vanishes in the absence of the magnetic field if Rashba-and Dresselhaus spin-orbit coefficients, α and β, are equal each other. In-plane magnetic field destroys this symmetry, and accumulates a finite spin-current as α → β. Magnetic field is shown to change strongly the equilibrium current of the in-plane spin components, and gives new contributions to the cubic-dependent on spin-orbit constants terms. These new terms depend linearly on the spin-orbit constants.

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Nakhmedov, Kumru, and Oppermann Reply:

Cited by 10 publications

References 4 publications

Kohn-Luttinger superconductivity in graphene

Kohn-Luttinger superconductivity in graphene

Unconventional scaling of resistivity in two-dimensional Fermi liquids

Out-of-plane equilibrium spin current in a quasi-two-dimensional electron gas under in-plane magnetic field

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