Seminarium Fizyki Materii Skondensowanej

We theoretically study a Luttinger liquid (LL) driven out ofequilibrium by injection of high-energy electrons. Theelectrons are injected into the LL locally at a fixed energy,and their spectral properties are detected at another spatialpoint some distance away by evaluating the average tunnelingcurrent from the LL into a resonant level with tunable energy.For energies slightly below the injection energy, the dependenceof the detected current on the difference between injection anddetection energies is described by a power law whose exponentdepends continuously on the Luttinger parameter. In contrast,for tunneling into a chiral LL edge of a fractional quantum Hallstate from the Laughlin sequence, we find that the detectedcurrent grows linearly with energy difference, despite a decreasingdensity of states.