摘要
We consider an ideal Fermi gas confined to a geometric structure consisting of a central region - the sample - connected to several infinitely extended ends-the reservoirs. Under physically reasonable assumptions on the propagation properties of the one-particle dynamics within these reservoirs, we show that the state of the Fermi gas relaxes to a steady state. We compute the expected value of various current observables in this steady state and express the result in terms of scattering data, thus obtaining a geometric version of the celebrated Landauer-Buttiker formula.
- 出版日期2014-7