Tunneling between two Luttinger liquids with long-range interaction

Tunneling into one-dimensional Josephson chains and Luttinger liquids

One-dimensional arrays of Josephson junctions have been studied because of their unusual zero-temperature superconductor-insulator phase transitions. Furthermore, their low-energy Hamiltonian coincides with that of a Luttinger liquid. Hence 1-D Josephson junction arrays provide a physical realization of this model system. In order to explore these similarities we discuss 1-D arrays with defects...

Energy partitioning of tunneling currents into Luttinger liquids.

Tunneling of electrons of definite chirality into a quantum wire creates counterpropagating excitations, carrying both charge and energy. We find that the partitioning of energy is qualitatively different from that of charge. The partition ratio of energy depends on the excess energy of the tunneling electrons (controlled by the applied bias) and on the interaction strength within the wire (cha...

Tunneling and Quantum Noise in 1-D Luttinger Liquids

We study non-equilibrium noise in the transmission current through barriers in 1-D Luttinger liquids and in the tunneling current between edges of fractional quantum Hall liquids. The distribution of tunneling events through narrow barriers can be described by a Coulomb gas lying in the time axis along a Keldysh (or non-equilibrium) contour. We show that the charges tend to reorganize as a dipo...

Fermi Liquids and Luttinger Liquids

Long-Range Electron Tunneling

Electrons have so little mass that in less than a second they can tunnel through potential energy barriers that are several electron-volts high and several nanometers wide. Electron tunneling is a critical functional element in a broad spectrum of applications, ranging from semiconductor diodes to the photosynthetic and respiratory charge transport chains. Prior to the 1970s, chemists generally...