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

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 E<Subscript>0</Subscript>, the 1D-2D crossover temperature T <Superscript>*</Superscript> <Subscript>1</Subscript>, which is related to the hopping process t<Subscript>1</Subscript>, and the magnetic energy <InlineEquation ID="Equ1"> <EquationSource Format="TEX">$\omega_c$</EquationSource> </InlineEquation>. We have found that the renormalized crossover temperatures T <Superscript>*</Superscript> <Subscript>1</Subscript> and T <Superscript>*</Superscript> <Subscript>2</Subscript>, at which the respectively hopping processes t<Subscript>1</Subscript> and t<Subscript>2</Subscript> 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. Copyright Springer-Verlag Berlin/Heidelberg 2003