Overview of project A02

Charge Carrier Dynamics in Nanostructures


This project aims at the theoretical description of the dynamics of single electrons in nanodevices in the time domain. The focus on single electrons defines the ultimate conceivable resolution for charge carrier dynamics, provides a convenient platform to study fundamental relaxation processes, and may become relevant for single-electron applications. Nanodevices such as quantum dots are well suited for studying charge carrier dynamics in this ultimate limit since they allow one to address individual electrons, to isolate them from the outside world, to manipulate them in a controlled way by gate voltages, and to study interesting correlations due to Coulomb interaction. The time domain of the charge carrier dynamics can be accessed by making use of external stimuli such as gate pulses. An alternative approach is based on analyzing the full counting statistics of individual charge-transfer events since the full counting statistics provides the maximum information of a dynamic quantum system. The theoretical challenge is, then, to distill out of this full counting statistics the relevant information about the charge dynamics to gain insight into relaxation channels, coherent quantum oscillations, or nonequilibrium many-body states evoked by interaction-induced correlations.

figure A2

Figure: The charge dynamics in a single-level quantum dot tunnel coupled to one or several electron reservoirs and with large charging energy can be modelled by a three-state system.



Markus Heckschen and Björn Sothmann
Pair-Amplitude Dynamics in Strongly Coupled Superconductor–Quantum Dot Hybrids
Phys. Rev. B 105, 045420 (2022)
DOI: 10.1103/PhysRevB.105.045420

Eric Kleinherbers, Philipp Stegmann, Annika Kurzmann, Martin Paul Geller, Axel Lorke and Jürgen König
Pushing the Limits in Real-Time Measurements of Quantum Dynamics
Phys. Rev. Lett. 128, 087701 (2022)
DOI: 10.1103/PhysRevLett.128.087701



Eric Kleinherbers, Philipp Stegmann and Jürgen König
Synchronized Coherent Charge Oscillations in Coupled Double Quantum Dots
Phys. Rev. B 104, 165304 (2021)
DOI: 10.1103/PhysRevB.104.165304

Mathias Kamp and Björn Sothmann
Higgs-Like Pair Amplitude Dynamics in Superconductor–Quantum-Dot Hybrids
Phys. Rev. B 103, 045414 (2021)
DOI: 10.1103/PhysRevB.103.045414

Jürgen König and Alfred Hucht
Newton Series Expansion of Bosonic Operator Functions
SciPost Physics 10, 007 (2021)
DOI: 10.21468/SciPostPhys.10.1.007

Philipp Stegmann, Björn Sothmann, Jürgen König and Christian Flindt
Electron Waiting Times in a Strongly Interacting Quantum Dot: Interaction Effects and Higher-Order Tunneling Processes
Phys. Rev. Letters 127, 096803 (2021)
DOI: 10.1103/PhysRevLett.127.096803

Philipp Stegmann, Alex Gee, Neil T. Kemp and Jürgen König
Statistical Analysis of Spin Switching in Coupled Spin-Crossover Molecules
Phys. Rev. B 104, 125431 (2021)
DOI: 10.1103/PhysRevB.104.125431



Simon Mundinar, Alfred Hucht, Jürgen König and Stephan Weiß
Interaction-Induced Current Asymmetries in Resonant Transport through Interacting Quantum-Dot Spin Valves Revealed by Iterative Summation of Path Integrals
Phys. Rev. B 102, 045404 (2020)
DOI: 10.1103/PhysRevB.102.045404

Philipp Stegmann, Jürgen König and Björn Sothmann
Relaxation Dynamics in Double-Spin Systems
Phys. Rev. B 101, 075411 (2020)
DOI: 10.1103/PhysRevB.101.075411

Martin Maurer, Jürgen König and Herbert Schoeller
Multilevel Coherences in Quantum Dots
Phys. Rev. Research 2, 033440 (2020)
DOI: 10.1103/PhysRevResearch.2.033440



Simon Mundinar, Philipp Stegmann, Jürgen König and Stephan Weiß
Iterative Path-Integral Summations for the Tunneling Magnetoresistance in Interacting Quantum-Dot Spin Valves
Phys. Rev. B 99, 195457 (2019)
DOI: 10.1103/PhysRevB.99.195457

Annika Kurzmann, Philipp Stegmann, Jens Kerski, R. Schott, A. Ludwig, A. D. Wieck, Jürgen König, Axel Lorke and Martin Geller
Optical Detection of Single-Electron Tunneling into a Semiconductor Quantum Dot
Phys. Rev. Lett. 122, 247403 (2019)
DOI: 10.1103/PhysRevLett.122.247403



Philipp Stegmann, Jürgen König and Stephan Weiß
Coherent Dynamics in Stochastic Systems Revealed by Full Counting Statistics
Phys. Rev. B 98, 035409 (2018)
DOI: 10.1103/PhysRevB.98.035409

Eric Kleinherbers, Philipp Stegmann and Jürgen König
Revealing Attractive Electron-Electron Interaction in a Quantum Dot by Full Counting Statistics
New J. Phys. 20, 073023 (2018)
DOI: 10.1088/1367-2630/aad14a



Philipp Stegmann and Jürgen König
Violation of Detailed Balance for Charge-Transfer Statistics in Coulomb-Blockade Systems
phys. stat. sol. (B) 254, 1600507 (2017)
DOI: 10.1002/pssb.201600507

Philipp Stegmann and Jürgen König
Inverse Counting Statistics Based on Generalized Factorial Cumulants
New J. Phys. 19, 023018 (2017)
DOI: 10.1088/1367-2630/aa5a70