Niwat Viriyapukdee. Composite boson theory of the fractional quantum hall effect . Master's Degree(Physics). Mahidol University. : Mahidol University, 2003.
Composite boson theory of the fractional quantum hall effect
Abstract:
The field theory approaches to the fractional quantum Hall effect of a twodimensional
electron system in a strong perpendicular magnetic field in terms of the
composite boson theory was studied. In this theory, the system of electrons is transformed
into an equivalent system of composite bosons in a weaker effective magnetic
field. At the mean-field level, this system exhibits certain fundamental properties, i.e.
the odd-denominator filling fractional quantized Hall conductivity
σH = 1/(2k+1) e2
/h where k is an integer, the vortices have a fractional charge
Q = 1/(2k+1) e and the fractional quantum Hall ground state is incompressible.