Spin-charge separation and anomalous correlation functions in the edge states of quantum hall liquids

First, we have investigated chiral edges of a quantum Hall liquids at filling factor ν = 2. The separation of spin and charge degrees of freedom becomes manifest in the presence of long-range Coulomb interaction. Due to the spin-charge separation the tunneling density of states takes the form D(ω) ∼ {-ln |ω|}^1/2. Experimentally, the spin-charge separation can be revealed in the temperature and voltage dependence of the tunneling current into Fermi liquid reservoir. Second, 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.