arXiv · cond-mat/0604214
Photoconductivity in AC-driven modulated two dimensional electron gas in a perpendicular magnetic field
Abstract
In this work we study the microwave photoconductivity of a two-dimensional electron system (2DES) in the presence of a magnetic field and a two-dimensional modulation (2D). The model includes the microwave and Landau contributions in a non-perturbative exact way, the periodic potential is treated perturbatively. The Landau-Floquet states provide a convenient base with respect to which the lattice potential becomes time-dependent, inducing transitions between the Landau-Floquet levels. Based on this formalism, we provide a Kubo-like formula that takes into account the oscillatory Floquet structure of the problem. The total longitudinal conductivity and resistivity exhibit strong oscillations, determined by $ε= ω/ ω_c$ with $ω$ the radiation frequency and $ω_c$ the cyclotron frequency. The oscillations follow a pattern with minima centered at $ω/ω_c =j + {1/2} (l-1) + δ$, and maxima centered at $ω/ω_c =j + {1/2} (l-1) - δ$, where $j=1,2,3.......$, $δ\sim 1/5$ is a constant shift and $l$ is the dominant multipole contribution. Negative resistance states (NRS) develop as the electron mobility and the intensity of the microwave power are increased. These NRS appear in a narrow window region of values of the lattice parameter ($a$), around $a \sim l_B$, where $l_B$ is the magnetic length. It is proposed that these phenomena may be observed in artificially fabricated arrays of periodic scatterers at the interface of ultraclean $GaAs/Al_xGa_{1-x} As$ heterostructures.
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Manuel Torres, Alejandro Kunold. 2006-04-07. Photoconductivity in AC-driven modulated two dimensional electron gas in a perpendicular magnetic field. https://doi.org/10.1088/0953-8984%2F18%2F16%2F010
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