9 research outputs found
Interaction Quench in Nonequilibrium Luttinger Liquids
We study the relaxation dynamics of a nonequilibrium Luttinger liquid after a
sudden interaction switch-on ("quench"), focussing on a double-step initial
momentum distribution function. In the framework of the non-equilibrium
bosonization, the results are obtained in terms of singular Fredholm
determinants that are evaluated numerically and whose asymptotics are found
analytically. While the quasi-particle weights decay exponentially with time
after the quench, this is not a relaxation into a thermal state, in view of the
integrability of the model. The steady-state distribution emerging at infinite
times retains two edges which support Luttinger-liquid-like power-law
singularities smeared by dephasing. The obtained critical exponents and the
dephasing length are found to depend on the initial nonequilibrium state.Comment: 11 pages, 5 figure
Influence of Coulomb interaction on the Aharonov-Bohm effect in an electronic Fabry-Perot interferometer
We study the role of Coulomb interaction in an electronic Fabry-Perot
interferometer (FPI) realized with chiral edge states in the integer quantum
Hall regime in the limit of weak backscattering. Assuming that a compressible
Coulomb island in a bulk region of the FPI is formed, we develop a capacitance
model which explains the plethora of experimental data on the flux and gate
periodicity of conductance oscillations. It is also shown that a suppression of
finite-bias visibility stems from a combination of weak Coulomb blockade and a
nonequilibrium dephasing by the quantum shot noise
Tunneling into Nonequilibrium Luttinger Liquid with Impurity
We evaluate tunneling rates into/from a voltage biased quantum wire
containing weak backscattering defect. Interacting electrons in such a wire
form a true nonequilibrium state of the Luttinger liquid (LL). This state is
created due to inelastic electron backscattering leading to the emission of
nonequilibrium plasmons with typical frequency . The
tunneling rates are split into two edges. The tunneling exponent at the Fermi
edge is positive and equals that of the equilibrium LL, while the exponent at
the side edge is negative if Coulomb interaction is not too strong.Comment: 4+ pages, 5 figure
Bosonization of Nonequilibrium Quantum Wire Networks
We develop a general approach to nonequilibrium nanostructures formed by one-dimensional channels coupled by tunnel junctions and/or by impurity scattering. As important applications of the formalism we consider tunneling into a voltage-biased quantum wire containing weak backscattering defects, electronic Fabry-Pérot and Mach-Zehnder interferometers realized in the integer quantum Hall systems, and the relaxation dynamics of a nonequilibrium Luttinger liquid after an interaction quench