Anomalous Exponent of the Spin Correlation Function of a Quantum Hall Edge

Details Anomalous Exponent of the Spin Correlation Function of a Quantum Hall Edge Anomalous Exponent of the Spin Correlation Function of a Quantum Hall Edge

1997-12-29

arxiv.org/abs/cond-mat/9712306v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, Revtex file, no figures. To appear in Physical Revews B, Rapid communications

Scientific paper

10.1103/PhysRevB.57.R4249

The charge and spin correlation functions of partially spin-polarized edge electrons of a quantum Hall bar are studied using effective Hamiltonian and bosonization techniques. In the presence of the Coulomb interaction between the edges with opposite chirality we find a different crossover behavior in spin and charge correlation functions. The crossover of the spin correlation function in the Coulomb dominated regime is characterized by an anomalous exponent, which originates from the finite value of the effective interaction for the spin degree of freedom in the long wavelength limit. The anomalous exponent may be determined by measuring nuclear spin relaxation rates in a narrow quantum Hall bar or in a quantum wire in strong magnetic fields.

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