arXiv subjects

Sigurdur Ingi Erlingsson

Publications and source records attributed to Sigurdur Ingi Erlingsson.

4 recordsLinked to original sources

arXiv2023

Effect of Impurities on Charge and Heat Transport in Tubular Nanowires

We calculate the charge and heat currents carried by electrons, originating from a temperature gradient and a chemical potential difference between the two ends of tubular nanowires with different geometries of the cross-sectional areas: circular, square, triangular, and hexagonal. We consider nanowires based on InAs semiconductor material, and use the Landauer-Büttiker approach to calculate the transport quantities. We include impurities in the form of delta scatterers and compare their effect for different geometries. The results depend on the quantum localization of the electrons along the edges of the tubular prismatic shell. For example, the effect of impurities on the charge and heat transport is weaker in the triangular shell than in the hexagonal shell, and the thermoelectric current in the triangular case is several times larger than in the hexagonal case, for the same temperature gradient.

cond-mat.mes-hall↗

arXiv2023

Charge and heat currents in prismatic tubular nanowires

We calculate electronic charge and heat transport in tubular nanowires generated by a temperature gradient or a chemical potential bias. These nanowires correspond to semiconductor core-shell nanowires with insulating (undoped) core and conductive (doped) shell, such that the conduction takes place only in the shell. The cross section of such nanowires is typically polygonal. We study the influence of the cross section shape and shell thickness on the electric and heat conduction of the shell. We use the Landauer-Büttiker approach to calculate the electric and heat currents as a non-linear function of temperature and chemical potential bias beyond the linear regime.

cond-mat.mes-hall↗

arXiv2017

Reversal of thermoelectric current in tubular nanowires

We calculate the charge current generated by a temperature bias between the two ends of a tubular nanowire. We show that in the presence of a transversal magnetic field the current can change sign, i.e., electrons can either flow from the hot to the cold reservoir, or in the opposite direction, when the temperature bias increases. This behavior occurs when the magnetic field is sufficiently strong, such that Landau and snaking states are created, and the energy dispersion is non-monotonic with respect to the longitudinal wave vector. The sign reversal can survive in the presence of impurities. We predict this result for core/shell nanowires, for uniform nanowires with surface states due to the Fermi level pinning, and for topological insulator nanowires.

cond-mat.mes-hall↗

arXiv2016

Conductance oscillations of core-shell nanowires in transversal magnetic fields

We analyze theoretically electronic transport through a core-shell nanowire in the presence of a transversal magnetic field. We calculate the conductance for a variable coupling between the nanowire and the attached leads and show how the snaking states, which are low-energy states localized along the lines of vanishing radial component of the magnetic field, manifest their existence. In the strong coupling regime they induce Aharonov-Bohm-like conductance oscillations, which, by decreasing the coupling to the leads, evolve into well resolved peaks. These results show that the formation of snaking states in the nanowire affects magnetoconductance measurements irrespective of the strength of the contacts with the leads. We analyze theoretically electronic transport through a core-shell nanowire in the presence of a transversal magnetic field. We calculate the conductance for a variable coupling between the nanowire and the attached leads and show how the snaking states, which are low-energy states localized along the lines of vanishing radial component of the magnetic field, manifest their existence. In the strong coupling regime they induce Aharonov-Bohm-like conductance oscillations, which, by decreasing the coupling to the leads, evolve into well resolved peaks. The flux periodic oscillations arise due to interference of the snaking states, which is a consequence of backscattering at either the contacts with leads or magnetic/potential barriers in the wire.

cond-mat.mes-hall↗