Envelope of commensurability magnetoresistance oscillation in unidirectional lateral superlattices
A.Endo, S.Katsumoto, Y. Iye
Phys. Rev. B 62 16761 (2000)
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The envelope of the commensurability magnetoresistance oscillation (Weiss oscillation) has been studied for lateral superlattices prepared from two-dimensional electron gas (2DEG) wafers with varying mobility \mu and spacer-layer thickness d_s . When the 2DEG has a high enough \mu and a large enough d_s , the envelope is well described by the formula given by Peeters and Vasilopoulos in a first-order perturbation theory [Phys. Rev. B 46, 4667 (1992).]. For smaller \mu or d_s , the oscillation diminishes faster than the formula at lower B. The damping can be accounted for by an additional factor of the form [\pi/(\mu_W B) ]/ sinh[ \pi/(\mu_W B)]. The parameter \mu_W is found to be proportional to the mean free path L of the 2DEG, and the coefficient of proportionality increases with d_s . The magnitude of \mu_W , as well as its dependence on d_s and the electron areal density n_s , is close to that of \mu_Q , the mobility corresponding to the total scattering time.