CORRELATION-FUNCTIONS OF INTERACTING FERMIONS AT FINITE-TEMPERATURE AND SIZE

We present explicit expressions for the correlation functions of inter acting fermions in one dimension which are valid for arbitrary system sizes and temperatures. The result applies to a number of very differe nt strongly correlated systems, including mesoscopic quantum wires, qu antum Hall edges, spin chains and quasi-one-dimensional metals. It is, for example, possible to calculate Coulomb blockade oscillations from our expression and determine their dependence on interaction strength and temperature. Numerical simulations show excellent agreement with the analytical results.