Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2010-05-23
Phys. Rev. B 82, 075315 (2010)
Physics
Condensed Matter
Strongly Correlated Electrons
15 pages with 10 figures. Submitted to Physical Review B
Scientific paper
10.1103/PhysRevB.82.075315
According to Wen's theory, a universal behavior of the fractional quantum Hall edge is expected at sufficiently low energies, where the dispersion of the elementary edge excitation is linear. A microscopic calculation shows that the actual dispersion is indeed linear at low energies, but deviates from linearity beyond certain energy, and also exhibits an "edge roton minimum." We determine the edge exponent from a microscopic approach, and find that the nonlinearity of the dispersion makes a surprisingly small correction to the edge exponent even at energies higher than the roton energy. We explain this insensitivity as arising from the fact that the energy at maximum spectral weight continues to show an almost linear behavior up to fairly high energies. We also formulate an effective field theory to describe the behavior of a reconstructed edge, taking into account multiple edge modes. Experimental consequences are discussed.
Jain Jainendra K.
Jolad Shivakumar
Sen Diptiman
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