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Dynamical Conductivity of Disordered Quantum Hall Stripes | | Mei-Rong Li
; H.A. Fertig
; R. Cote
; Hangmo Yi
; | | Date: |
23 Sep 2004 | | Subject: | Mesoscopic Systems and Quantum Hall Effect; Disordered Systems and Neural Networks | cond-mat.mes-hall cond-mat.dis-nn | | Abstract: | We present a detailed theory for finite-frequency conductivities Re$[sigma_{alphaeta}(omega)]$ of quantum Hall stripes, which form at Landau level $Ngeq 2$ close to half filling, in the presence of weak Gaussian disorder. We use an effective elastic theory to describe the low-energy dynamics of the stripes with the dynamical matrix being determined through matching the density-density correlation function obtained in the microscopic time-dependent Hartree-Fock approximation. We then apply replicas and the Gaussian variational method to deal with the disorder. Within this method, a set of saddle point equations for the retarded self energies are obtained, which are solved numerically to get Re$[sigma_{alphaeta}(omega)]$. We find a quantum depinning transition as $Delta
u$, the fractional part of the filling factor, approaches a critical value $Delta
u_c$ from below. For $Delta
u | | Source: | arXiv, cond-mat/0409629 | | Services: | Forum | Review | PDF | Favorites | |
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