The ground state energy of odd fermion systems

George Allen Baker Jr.

光昭 宜野座

Gao Xian

Using the method of fermion coherent state, in the framework of Fermi liquid theory, the expressions of the ground state energy are derived analytically for one dimensional two impurity Anderson model with even or odd number of electrons in the system. Quantitative calculation of the ground state energy is given when the average number of electrons per site n is in half filling or under half filling case and a comparison is made between the systems of even or odd number of electrons.

George S. Kliros, N. d’Ambrumenil

The authors calculate the ground state energies and wavefunctions for small systems of fermions on a lattice using singly and doubly periodic boundary conditions. They find minima in the ground state energy when the magnetic flux per plaquette corresponds to filling fractions with odd denominators. They interpret these minima in terms of fractional quantum Hall states. The pair correlation function at nearest and next-nearest neighbours is calculated as a function of the repulsive interaction strength between particles.

Theoretical Physics

H. L. Neal