Eur. Phys. J. B 34, 33-39 (2003)
https://doi.org/10.1140/epjb/e2003-00193-4

Renormalization of the hopping parameters in quasi-one-dimensional conductors in the presence of a magnetic field

¹ Laboratoire de Physique de la Matière Condensée, Département de Physique, Faculté des Sciences de Tunis, 1060 Tunis, Tunisia
² Laboratoire de Physique des Solides (associé au CNRS), Université de Paris Sud 91405 Orsay, France

Corresponding author: ^a shaddad@lagrange.physique.usherb.ca

Received: 5 March 2003
Published online: 23 July 2003

Abstract

We consider the competition between the one dimensionalization effect due to a magnetic field and the hopping parameters in quasi-one-dimensional conductors. Our study is based on a perturbative renormalization group method with three cut-off parameters, the bandwidth E₀, the 1D-2D crossover temperature , which is related to the hopping process t₁, and the magnetic energy . We have found that the renormalized crossover temperatures and , at which the respectively hopping processes t₁ and t₂ become coherent, are reduced compared to the bare values as the field is increased. We discuss the consequences of these renormalization effects on the temperature-field phase diagram of the organic conductors.