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Effect of long-range Coulomb interactions and Lorentz-force dynamics on fluctuations and possible topological transitions of quantum Hall systems | | A.M. Ettouhami
; C.B. Doiron
; R. Côté
; | | Date: |
25 Nov 2006 | | Subject: | Mesoscopic Systems and Quantum Hall Effect; Strongly Correlated
Electrons | | Abstract: | We study spatial correlations and possible topological transitions from the quantum Hall stripe phase to the isotropic metallic phase in intermediate Landau levels. We find that the combined effects of long ranged Coulomb interactions and of Lorentz-force dynamics can modify the elastic properties of quantum Hall solids in a nontrivial way. In particular, we show that, by contrast to conventional smectics in two dimensions, a quantum Hall smectic is stable to the unbinding of dislocations, and this stability forbids the emergence of a nematic phase at finite temperatures from a zero temperature smectic ground state. On the other hand, we find that a defect mediated melting transition into an isotropic state is still possible if one considers that the ground state of the quantum Hall system near half filling is an anisotropic Wigner crystal (AWC). These findings give support to the idea of ``quantum Hall nematics", provided the ground state at zero temperature is taken to be an AWC, as suggested by previous Hartree-Fock and renormalization group calculations. | | Source: | arXiv, cond-mat/0611638 | | Services: | Forum | Review | PDF | Favorites | |
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