Spin-susceptibility of the quasi–one-dimensional electron gas with long-range Coulomb interaction

L. Calmels; A. Gold

doi:doi:10.1209/epl/i1997-00390-9

Spin-susceptibility of the quasi--one-dimensional electron gas with long-range Coulomb interaction DOI: 10.1209/epl/i1997-00390-9

Europhys. Lett, 39 (5), pp. 539-544 (1997)

Spin-susceptibility of the quasi--one-dimensional electron gas with long-range Coulomb interaction

L. Calmels and A. Gold

Laboratoire de Physique des Solides, Université Paul Sabatier, 118 Route de Narbonne, 31062 Toulouse, France

(received 13 March 1997; accepted in final form 9 July 1997)

PACS. 71.10Ca - Electron gas, Fermi gas.
PACS. 71.45Gm - Exchange, correlation, dielectric and magnetic functions, plasmons.
PACS. 75.30Cr - Saturation moments and magnetic susceptibilities.

Abstract:

By using an analytical expression for the static-structure factor of the interacting electron gas depending on the spin-polarization parameter

, we present a new method to calculate the correlation energy and the spin-susceptibility. For quasi--one-dimensional systems with wire-width parameter b we calculate the spin-susceptibility as a function of b and the Wigner-Seitz parameter

, where N is the electron density and

the effective Bohr radius. We discuss the Bloch instability in quantum wires and describe the spin-susceptibility near the Bloch instability.