3,021 research outputs found
Determination of the chemical potential and the energy of the \nu=1/2 FQHE system for low temperatures
We consider the energy density of a spin polarized system for low
temperatures. We show that due to the elimination of the magnetic field and the
field of the positive background charge in the calculation of the grand
canonical potential of Chern-Simons systems through a mean field formalism one
gets corrections to the well known equations which determine the chemical
potential and the energy from the grand canonical potential. We use these
corrected equations to calculate the chemical potential and the energy of the
system at low temperatures in two different approximations.Comment: 9 Revtex pages, 1 eps figure, using style files pst-feyn.sty,
pst-key.sty, typos corrected, one subsection adde
The asymptotic behaviour of the exact and approximative Chern-Simons Green's functions
We consider the asymptotic behaviour of the Chern-Simons Green's function of
the system for an infinite area in position-time
representation. We calculate explicitly the asymptotic form of the Green's
function of the interaction free Chern-Simons system for small times. The
calculated Green's function vanishes exponentially with the logarithm of the
area. Furthermore, we discuss the form of the divergence for all and
also for the Coulomb interacting Chern-Simons system. We compare the
asymptotics of the exact Chern-Simons Green's function with the asymptotics of
the Green's function in the Hartree-Fock as well as the random-phase
approximation (RPA). The asymptotics of Hartree-Fock the Green's function
corresponds well with the exact Green's function. In the case of the RPA
Green's function we do not get the correct asymptotics. At last, we calculate
the self consistent Hartree-Fock Green's function.Comment: 12 Revtex pages, 1 eps figure, using style files pst-feyn.sty,
pst-key.sty, typos correcte
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