Quench dynamics in interacting and superconducting nanojunctions

Quench dynamics in interacting and superconducting nanojunctions / Rubén Seoane Souto.

Effects of many-body interactions and superconducting correlations have become central questions in the quantum transport community. While most previous works investigating current fluctuations in nanodevices have been restricted to the stationary regime, Seoane's thesis extends these studies t...

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Bibliographic Details
Main Author: Souto, Rubén Seoane
Format: eBook
Language:English
Published: Cham : Springer, 2020.
Series:Springer theses.
Subjects:
Quantum theory.
Many-body problem.
Many-body problem
Quantum theory
Online Access:Click for online access
Table of Contents:
  • Intro
  • Supervisors' Foreword
  • Abstract
  • Publications Related to this thesis Build-up of vibron-mediated electronic correlations in molecular electronics Rémi Avriller, Rubén Seoane Souto, Álvaro Martín Rodero and Alfredo Levy Yeyati. Physical Review B, 99 (12), 121403 (2019). Transient dynamics in interacting nanojunctions within self-consistent perturbation theory Rubén Seoane Souto, Rémi Avriller, Alfredo Levy Yeyati and Álvaro Martín Rodero. New J. Phys. 20, 083039 (2018). Quench dynamics in superconducting nanojunctions: metastabili
  • Acknowledgements
  • Contents
  • Acronyms
  • 1 General Introduction
  • 1.1 Theory of the Quantum Transport
  • 1.2 Superconductivity at the Nanoscale
  • 1.3 Interactions at the Nanoscale
  • 1.4 Time Dependent Transport
  • 1.4.1 Dynamics of Interacting Nanojunctions
  • 1.5 Current Fluctuations
  • 1.5.1 Full Counting Statistics
  • 1.5.2 Analogy to Equilibrium Statistical Mechanics: Yang-Lee Zeros
  • 1.6 Outline
  • References
  • 2 Theoretical Framework in the Stationary Regime
  • 2.1 Impurity Level Hamiltonian
  • 2.2 Green Function Formalism
  • 2.2.1 Equilibrium Green Functions
  • 2.2.2 Time-Dependent Green Functions
  • 2.2.3 Non-equilibrium Green Functions
  • 2.2.4 Transport Properties
  • 2.2.5 Interaction Picture
  • 2.3 Electron-Electron Interaction: Anderson Model
  • 2.3.1 Mean Field Approximation
  • 2.3.2 Effects Beyond the Mean Field
  • 2.4 Electron-Phonon Interaction: The Spinless Anderson-Holstein Model
  • 2.4.1 Second Order Perturbation Expansion
  • 2.4.2 Self-consistent Approximations
  • 2.4.3 Polaron-Like Approximations
  • 2.5 Superconducting Nanojunctions
  • 2.5.1 AC-Josephson Effect
  • 2.6 Full Counting Statistics
  • 2.6.1 Non-interacting System
  • 2.6.2 Interaction Effects
  • 2.6.3 Factorial Cumulants
  • 2.6.4 Dynamical Yang-Lee Zeros
  • References
  • Part I Transient Dynamics in Normal Nanojunctions
  • 3 Transient Dynamics in Non-interacting Junctions
  • 3.1 Introduction
  • 3.2 Mean Transport Properties
  • 3.3 Full Counting Statistics
  • 3.3.1 Discretized Dyson Equation and the Determinant Formula
  • 3.4 Universal Relation Between Cumulants and Zeros
  • 3.5 Analysis of the Short Time Universality
  • 3.5.1 Single Electrode Junction
  • 3.5.2 Two Electrodes Junction: Coherent Effects
  • 3.5.3 Bidirectional Transport
  • 3.6 Conclusions
  • References

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