Thermopower signatures and spectroscopy of the canyon of conductance suppression

Kiršanskas, Gediminas; Hammarberg, Susanna; Karlström, Olov

doi:10.1103/physrevb.94.045427

Cited by 2 publications

(2 citation statements)

References 77 publications

(147 reference statements)

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“…[28] and a description of the numerical procedure used to solve the resulting equations is given in Appendix A of Ref. [37]. The source and drain leads are assumed to have a bandwidth of 2D with E k = E k ∈ [−D,D] and a constant density of states ν F within this energy range.…”

Section: Appendix B: First-order and Second-order Von Neumann Approachesmentioning

confidence: 99%

Violation of Onsager's theorem in approximate master equation approaches

et al. 2016

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The consistency with Onsager's theorem is examined for commonly used perturbative approaches, such as the Redfield and second-order von Neumann master equations, for thermoelectric transport through nanostructures. We study a double quantum dot, which requires coherences between states for a correct description, and we find that these perturbative approaches violate Onsager's theorem. We show that the deviations from the theorem scale with the lead-coupling strength in an order beyond the one considered systematically in the respective approach.

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Section: Appendix B: First-order and Second-order Von Neumann Approachesmentioning

confidence: 99%

Violation of Onsager's theorem in approximate master equation approaches

et al. 2016

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“…[19,30], but most of this Appendix is based on Refs. [34,54]. Here we derive the necessary equations to define the second-order von Neumann approach.…”

Section: Resultsmentioning

confidence: 99%

QmeQ 1.0: An open-source Python package for calculations of transport through quantum dot devices

Wacker

Pedersen

Karlström

et al. 2017

Computer Physics Communications

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QmeQ is an open-source Python package for numerical modeling of transport through quantum dot devices with strong electron-electron interactions using various approximate master equation approaches. The package provides a framework for calculating stationary particle or energy currents driven by differences in chemical potentials or temperatures between the leads which are tunnel coupled to the quantum dots. The electronic structures of the quantum dots are described by their single-particle states and the Coulomb matrix elements between the states. When transport is treated perturbatively to lowest order in the tunneling couplings, the possible approaches are Pauli (classical), firstorder Redfield, and first-order von Neumann master equations, and a particular form of the Lindblad equation. When all processes involving two-particle excitations in the leads are of interest, the second-order von Neumann approach can be applied. All these approaches are implemented in QmeQ. We here give an overview of the basic structure of the package, give examples of transport calculations, and outline the range of applicability of the different approximate approaches. Keywords: Open quantum systems, Quantum dots, Anderson-type model, Coulomb blockade, Python Program summaryProgram Title: QmeQ Licensing provisions: BSD 2-Clause Programming language: Python External libraries: NumPy, SciPy, Cython Nature of problem: Calculation of stationary state currents through quantum dots tunnel coupled to leads. Solution method: Exact diagonalisation of the quantum dot Hamiltonian for a given set of single particle states and Coulomb matrix elements. Numerical solution of the stationary-state master equation for a given approximate approach. Restrictions: Depending on the approximate approach the temperature needs to be sufficiently large compared to the coupling strength for the approach to be valid.

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Thermopower signatures and spectroscopy of the canyon of conductance suppression

Cited by 2 publications

References 77 publications

Violation of Onsager's theorem in approximate master equation approaches

Violation of Onsager's theorem in approximate master equation approaches

QmeQ 1.0: An open-source Python package for calculations of transport through quantum dot devices

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