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note
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A recent study of pinned quantum Hall stripes [E. Orignac and R. Chitra, Europhys. Lett. 63, 440 (2003)] adopts a similar approach, but makes further approximations valid only when the system is pinned for motion along the stripes, leading to results quite different from ours.
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In the pinned Wigner crystal problem, some approaches obtain a very narrow pinning peak [H. A. Fertig, Phys. Rev. B 59, 2120 (1999); M. M. Fogler and D. A. Huse, ibid. 62, 7553 (2000)] , but the replica and GVM used in Ref. [12] does not. We have found that the latter approach is consistent with the former two in the weak disorder limit. The underlying cause of the narrowing is due to a paucity of low-lying phonon states in the isotropic crystal, which does not occur for the stripe state [17].
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In the pinned Wigner crystal problem, some approaches obtain a very narrow pinning peak [H. A. Fertig, Phys. Rev. B 59, 2120 (1999); M. M. Fogler and D. A. Huse, ibid. 62, 7553 (2000)] , but the replica and GVM used in Ref. [12] does not. We have found that the latter approach is consistent with the former two in the weak disorder limit. The underlying cause of the narrowing is due to a paucity of low-lying phonon states in the isotropic crystal, which does not occur for the stripe state [17].
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