Recursive Green's function method for multi-terminal nanostructures

Abstract

We present and review an efficient method to calculate the retarded Green's function in multi-terminal nanostructures; which is needed in order to calculate the conductance through the system and the local particle densities within it. The method uses the recursive Green's function method after the discretized Hamilton matrix has been properly partitioned. We show that this method, the circular slicing scheme, can be modified to accommodate multi-terminal systems as well as the traditional two-terminal systems. Furthermore, we show that the performance and robustness of the circular slicing scheme is on par with other advanced methods and is well suited for large variety of multi-terminal geometries. We end by giving an example of how the method can be used to calculate transport in a non-trivial multi-terminal geometry.

17 pages, 9 figures

References in corpus (6)

• A knitting algorithm for calculating Green functions in quantum systems
• Spin Accumulation in Diffusive Conductors with Rashba and Dresselhaus Spin-Orbit Interaction
• Inverse quantum spin Hall effect generated by spin pumping from precessing magnetization into a graphene-based two-dimensional topological insulator
• Switching of electrical current by spin precession in the first Landau level of an inverted-gap semiconductor
• What can we learn about the dynamics of transported spins by measuring shot noise in spin-orbit-coupled nanostructures?
• Focused Crossed Andreev Reflection

Cited by in corpus (19)

• Improvements on non-equilibrium and transport Green function techniques: the next-generation transiesta
• Patched Green's function techniques for two dimensional systems: Electronic behaviour of bubbles and perforations in graphene
• Electronic localization in small-angle twisted bilayer graphene
• The quantized Hall conductance of a single atomic wire: A proposal based on synthetic dimensions
• An efficient method for computing the electronic transport properties of a multi-terminal system
• Tuning transport properties on graphene multi-terminal structures by mechanical deformations
• Improved recursive Green's function formalism for quasi one-dimensional systems with realistic defects
• Gap engineering in strained fold-like armchair graphene nanoribbons
• Tunable valley filtering in dynamically strained $\alpha$-${\mathcal{T}}_3$ lattices
• Recursive Green's functions optimized for atomistic modelling of large superlattice-based devices
• Lattice dynamics localization in low-angle twisted bilayer graphene
• Transport in Selectively Magnetically Doped Topological Insulator Wires
• Design of graphene waveguide: Effect of edge orientation and waveguide configuration
• Switching valley filtered current directions in multi-terminal graphene systems
• Coherent Transport in Y-Junction Graphene Waveguide
• Theory of ballistic quantum transport in presence of localized defects
• Microscopic Green's function approach for generalized Dirac Hamiltonians
• Improved performance in quantum transport calculations: A divide-and-conquer method based on S-matrices
• Investigating transverse Hall conductances using two-terminal setups