aqora

Superconducting Ground State of Noninteracting Particles Obeying Fractional Statistics

R. B. Laughlin

In a previous paper, Kalmeyer and Laughlin argued that the elementary excitations of the original Anderson resonating-valence-bond model might obey fractional statistics. In this paper, it is shown that an ideal gas of such particles is a new kind of superconductor.

Physical Review LettersJun 20, 1988600 citations

Superconductivity in systems with a low particle density

Alexander A. Gorbatsevich, I. V. Tokatly, Daniel R. Parsons

Journal of Experimental and Theoretical PhysicsFeb 1, 19930 citations

A two-dimensional interacting system obeying Fractional Exclusion Statistics

M. K. Srivastava, R. K. Bhaduri, J. Law +1 more

We consider N fermions in a two-dimensional harmonic oscillator potential interacting with a very short-range repulsive pair-wise potential. The ground-state energy of this system is obtained by performing a Thomas-Fermi as well as a self-consistent Hartree-Fock calculation. The two results are shown to agree even for a small number of particles. We next use the finite temperature Thomas-Fermi method to demonstrate that in the local density approximation, these interacting fermions are equivalent to a system of noninteracting particles obeying the Haldane-Wu fractional exclusion statistics. It is also shown that mapping onto to a system of N noninteracting quasi-particles enables us to predict the energies of the excited states of the N-body system.We consider N fermions in a two-dimensional harmonic oscillator potential interacting with a very short-range repulsive pair-wise potential. The ground-state energy of this system is obtained by performing a Thomas-Fermi as well as a self-consistent Hartree-Fock calculation. The two results are shown to agree even for a small number of particles. We next use the finite temperature Thomas-Fermi method to demonstrate that in the local density approximation, these interacting fermions are equivalent to a system of noninteracting particles obeying the Haldane-Wu fractional exclusion statistics. It is also shown that mapping onto to a system of N noninteracting quasi-particles enables us to predict the energies of the excited states of the N-body system.

arXiv:cond-mat/9902158Feb 11, 19990 citations

Superconductivity in Non-equilibrium with Repulsion Between Particles

D. A. Kirzhnits, Yu. V. Kopaev

Apr 1, 19733 citations

Interacting fermions in a two-dimensional trap and fractional exclusion statistics

M. K. Srivastava, R. K. Bhaduri, J. Law +1 more

We consider N fermions in a two-dimensional harmonic oscillator potential interacting with a very short-range repulsive pair-wise potential. The ground-state energy of this system is obtained by performing a Thomas-Fermi as well as a self-consistent Hartree-Fock calculation. The two results are shown to agree even for a small number of particles. We next use the finite-temperature Thomas-Fermi method to demonstrate that in the local density approximation, these interacting fermions are equivalent to a system of noninteracting particles obeying the Haldane-Wu fractional exclusion statistics. It is also shown that mapping onto a system of N noninteracting quasiparticles enables us to predict the energies of the ground and excited states of the N-body system. PACS Nos.: 05.30-d, 73.20DxWe consider N fermions in a two-dimensional harmonic oscillator potential interacting with a very short-range repulsive pair-wise potential. The ground-state energy of this system is obtained by performing a Thomas-Fermi as well as a self-consistent Hartree-Fock calculation. The two results are shown to agree even for a small number of particles. We next use the finite-temperature Thomas-Fermi method to demonstrate that in the local density approximation, these interacting fermions are equivalent to a system of noninteracting particles obeying the Haldane-Wu fractional exclusion statistics. It is also shown that mapping onto a system of N noninteracting quasiparticles enables us to predict the energies of the ground and excited states of the N-body system. PACS Nos.: 05.30-d, 73.20Dx

Canadian Journal of PhysicsJan 1, 20007 citations

Off-diagonal long-range order and superconducting particle density

Gen-Di Pang, Fu‐Cho Pu, Bao‐Heng Zhao

The European Physical Journal BJun 1, 19890 citations

Superconducting Ground State of Noninteracting Particles Obeying Fractional Statistics

Related papers

Superconducting Ground State of Noninteracting Particles Obeying Fractional Statistics

Related papers