Non-equilibrium phenomena in two-channel Kondo problem

• Grant number: 18/10582-0
• Support Opportunities: Scholarships abroad - Research Internship - Doctorate
• Start date: October 01, 2018
• End date: September 30, 2019
• Field of knowledge: Physical Sciences and Mathematics - Physics - Condensed Matter Physics
• Principal Investigator: Luiz Nunes de Oliveira
• Grantee: Luiz Henrique Bugatti Guessi
• Supervisor: Harold U. Baranger
• Host Institution: Instituto de Física de São Carlos (IFSC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
• Institution abroad: Duke University, United States
• Associated to the scholarship: 15/26655-9 - Exploring bound states in the continuum in graphene via NRG and DFT approaches, BP.DR

Abstract

This project aims to investigate the non-equilibrium phenomena near the quantum critical point presented in the two-channel Kondo problem. In this problem, the criticality emerge due to the competition between the two independent channels to screen the localized moment in a quantum dot. Such choice was motivated by recent experimental results in nanostructures, which describe the two-channel Kondo phase and quantum transport properties of the quantum critical region as a function of the temperature and the gate voltage. To obtain the spectral density and the differential conductance in and out-of-equilibrium, we will use the time-Dependent Density Matrix Renormalization Group. This method yields essentially exact results with relatively small computation efforts. Based on the differential conductance, we will analyze universal and non-universal effects around the quantum critical point.