Conductance through Quantum Dots Studied by Finite Temperature DMRG

TL;DR

This paper introduces a finite temperature DMRG method to calculate conductance and thermodynamic properties of quantum dots, effectively capturing Kondo effects and Coulomb oscillations.

Contribution

The authors develop a novel FT-DMRG approach to compute conductance and density of states in quantum dots, enabling detailed analysis of Kondo phenomena at finite temperatures.

Findings

Successfully reproduces Kondo behavior and Coulomb peaks

Demonstrates advantages over existing methods

Provides detailed temperature-dependent conductance data

Abstract

With the Finite temperature Density Matrix Renormalization Group method (FT-DMRG), we depeloped a method to calculate thermo-dynamical quantities and the conductance of a quantum dot system. Conductance is written by the local density of states on the dot. The density of states is calculated with the numerical analytic continuation from the thermal Green's function which is obtained directly from the FT-DMRG. Typical Kondo behaviors in the quantum dot system are observed conveniently by comparing the conductance with the magnetic and charge susceptibilities: Coulomb oscillation peaks and the unitarity limit. We discuss advantage of this method compared with others.