Incommensurate ground state of double-layer quantum Hall systems
Abstract
Double-layer quantum Hall systems possess interlayer phase coherence at sufficiently small layer separations, even without interlayer tunneling. When interlayer tunneling is present, application of a sufficiently strong in-plane magnetic field drives a commensurate-incommensurate (CI) transition to an incommensurate soliton-lattice (SL) state. We calculate the Hartree-Fock ground-state energy of the SL state for all values of within a gradient approximation, and use it to obtain the anisotropic SL stiffness, the Kosterlitz-Thouless melting temperature for the SL, and the SL magnetization. The in-plane differential magnetic susceptibility diverges as when the CI transition is approached from the SL state.
Keywords
Cite
@article{arxiv.cond-mat/0103073,
title = {Incommensurate ground state of double-layer quantum Hall systems},
author = {C. B. Hanna and A. H. MacDonald and S. M. Girvin},
journal= {arXiv preprint arXiv:cond-mat/0103073},
year = {2009}
}
Comments
12 pages, 7 figures, to be published in Physical Review B