No abstract

We investigate the behavior of the four-terminal resistance R 4pt in a quantum wire described by a Luttinger liquid in two relevant situations: ͑i͒ in the presence of a single impurity within the wire and ͑ii͒ under the effect of asymmetries introduced by disordered voltage probes. In the first case, interactions leave a signature in a power-law behavior of R 4pt as a function of the voltage V and the temperature T. In the second case interactions tend to mask the effect of the asymmetries. In both scenarios the occurrence of negative values of R 4pt is explained in simple terms.

We extend the path-integral approach to bosonization to the case in which the fermionic interaction is non-local. In particular we obtain a completely bosonized version of a Thirring-like model with currents coupled by general (symmetric) bilocal potentials. The model contains the Tomonaga-Luttinger model as a special case; exploiting this fact we study the basic properties of the 1-d spinless fermionic gas: fermionic correlators, the spectrum of collective modes, etc. Finally we discuss the generalization of our procedure to the non-Abelian case, thus providing a new tool to be used in the study of 1-d many-body systems with spin-flipping interactions.