Quasi-one-dimensional systems

I. Božović, Milan Vujičić, Fedor Herbut +1 more

L. P. Gor’kov

Emilio d’Emilio, Luigi E. Picasso

A. V. Rozhkov

It is known that many-body correlations qualitatively modify the properties of a one-dimensional metal. However, for a quasi-one-dimensional metal these correlations are suppressed, at least partially. We study conditions under which the one-dimensional effects significantly influence the dimensional crossover of a quasi-one-dimensional metal. It is proved (i) that even a system with very high anisotropy of the single-particle hopping might behave on both sides of the crossover as an ordinary weakly nonideal Fermi gas. Further, (ii) to demonstrate well-developed signatures of one-dimensional correlations the system must have extremely (exponentially) high anisotropy. Between cases (i) and (ii) an intermediate regime lies: (iii) the one-dimensional phenomena affect the two-particle susceptibilities, but do not reveal themselves in single-particle quantities. Unlike the normal state properties, (iv) the ordering transition is always very sensitive to the anisotropy: the mean field theory quickly becomes invalid as the anisotropy increases. An expression for the transition temperature is derived. The attributes (i)--(iv) are used to classify the weakly interacting quasi-one-dimensional fermion systems.

Emilio d’Emilio, Luigi E. Picasso

FENG WEI-GUO, SUN XIN, 复旦大学物理系,中国科学技术大学结构分析中心开放实验室

For the quasi one-dimensional electron systems with coulomb interaction, the many-body wave function is obtained on the basis of the correlation oscillation behavior of the electron gas, and the electron correlation function g (|z12|) for quasi one-dimensional systems has been calculated in this paper.