Local Density of States for Individual Energy Levels in Finite Quantum Wires

TL;DR

This paper combines numerical DMRG and analytical bosonization to analyze the local density of states in finite quantum wires, revealing detailed insights into the local spectral weights and many-body excitations.

Contribution

It introduces a hybrid approach using DMRG and bosonization to study LDOS in finite quantum wires, providing a deeper understanding of local spectral properties.

Findings

Good agreement between numerical and analytical results

Identification of local spectral weight distributions

Insights into many-body excitation contributions

Abstract

The local density of states (LDOS) in finite quantum wires is calculated as a function of discrete energies and position along the wire. By using a combination of numerical density matrix renormalization group (DMRG) calculations and analytical bosonization techniques it is possible to obtain a good understanding of the local spectral weights along the wire in terms of the underlying many-body excitations.