# Conductance distribution in 1D systems: dependence on the Fermi level and the ideal leads

## TL;DR

This paper investigates how the conductance distribution in one-dimensional systems depends on the Fermi level and the influence of ideal leads, revealing complex behaviors including oscillations and transition-like changes.

## Contribution

It provides a detailed analysis of conductance distribution dependence on Fermi level and lead effects in 1D systems, highlighting phenomena akin to the Anderson transition.

## Key findings

- Influence of ideal leads alters conductance distribution
- Conductance oscillations depend on system length
- Fermi level variation causes transition-like behavior

## Abstract

The correct definition of the conductance of finite systems implies a connection to the system of the massive ideal leads. Influence of the latter on the properties of the system appears to be rather essential and is studied below on the simplest example of the 1D case. In the log-normal regime this influence is reduced to the change of the absolute scale of conductance, but generally changes the whole distribution function. Under the change of the system length L, its resistance may undergo the periodic or aperiodic oscillations. Variation of the Fermi level induces qualitative changes in the conductance distribution, resembling the smoothed Anderson transition.