Bias driven coherent carrier dynamics in a two-dimensional aperiodic potential

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dc.creatorde Moura, F. A. B. F.
dc.creatorViana, L. P.
dc.creatorLyra, M. L.
dc.creatorMalyshev, V. A.
dc.creatorDominguez-Adame, F.
dc.date2008-09-19
dc.date.accessioned2026-07-07T10:19:04Z
dc.date.available2026-07-07T10:19:04Z
dc.descriptionWe study the dynamics of an electron wave-packet in a two-dimensional square lattice with an aperiodic site potential in the presence of an external uniform electric field. The aperiodicity is described by $ε_{\bf m} = V\cos{(παm_x^{ν_x})}\cos{(παm_y^{ν_y})}$ at lattice sites $(m_x, m_y)$, with $πα$ being a rational number, and $ν_x$ and $ν_y$ tunable parameters, controlling the aperiodicity. Using an exact diagonalization procedure and a finite-size scaling analysis, we show that in the weakly aperiodic regime ($ν_x,ν_y < 1$), a phase of extended states emerges in the center of the band at zero field giving support to a macroscopic conductivity in the thermodynamic limit. Turning on the field gives rise to Bloch oscillations of the electron wave-packet. The spectral density of these oscillations may display a double peak structure signaling the spatial anisotropy of the potential landscape. The frequency of the oscillations can be understood using a semi-classical approach.
dc.description16 pages, to appear in Phys. Lett. A
dc.identifierhttps://arxiv.org/abs/0809.3362
dc.identifierhttp://arxiv.org/abs/0809.3362
dc.identifierPhys. Lett. A 372, 6694 (2008)
dc.identifierdoi:10.1016/j.physleta.2008.09.019
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/174378
dc.subjectDisordered Systems and Neural Networks
dc.subjectMesoscale and Nanoscale Physics
dc.titleBias driven coherent carrier dynamics in a two-dimensional aperiodic potential
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