Two-wire junction of inequivalent Tomonaga-Luttinger liquids
Journal
Physical Review B
Journal Volume
104
Journal Issue
23
Date Issued
2021
Author(s)
Abstract
We develop two numerical schemes to study the conductance of the two-wire junction of inequivalent Tomonaga-Luttinger liquids. In the first scheme we use the static current-current correlation function across the junction to extract the linear conductance through a relation that is derived via the bosonization method. In the second scheme we apply a voltage bias and evaluate the time-dependent current across the junction to obtain the current-voltage characteristic. The conductance is then extracted from the small bias result within the linear response regime. Both schemes are based on the infinite-size matrix product state to minimize the finite-size effects. Due to the lack of the translational invariance, we focus on a finite-size window containing the junction. For time-independent calculations, we use infinite boundary conditions to evaluate the correlations within the window. For time-dependent calculations, we use the window technique to evaluate the local currents within the window. The numerical results obtained by both schemes show excellent agreement with the analytical predictions. Published by the American Physical Society
Subjects
Bias voltage; Bosonization; Correlation function; Current-current correlations; Current-voltage characteristics; Linear response; Numerical scheme; Static currents; Time-dependent currents; Tomonaga Luttinger liquid; Voltage bias; Current voltage characteristics
Type
journal article