TBMethod

Installation & Uninstallation

Installation

Offline

1. Download the latest "TBMethod-<\*version #\*>.paclet" file to one's local machine;

2. Run PacletInstall["<*path-to-download*>/TBMethod-<*version #*>.paclet"].

Online

• Outstanding

Installation Test (1 → 3 or 2 → 3)

1. For single kernel, load the package by

Needs["TBMethod`"]

2. For parallel computation, load it by

Needs["TBMethod`"]
ParallelNeeds["TBMethod`"]

3. Check the installation by

Scan[Echo @* Information] @ {"TBMethod`MDConstruct`*", "TBMethod`EigenSpect`*", "TBMethod`LGFF`*", "TBMethod`DataVisualization`*"}

and four lists of functions should be indexed out.

Uninstallation

• Run PacletUninstall["TBMethod"] for uninstallation or reinstallation.

Functionalities

• Highlights: sufficient employment of the NNS (nearest neighbor search) algorithm, so that the total computation complexity tends to be fine as:

  • Model construction linear in system's size $ \text{O}(n) $:

    • Generation of Hamiltonian matrices,
    • Adaptive partition of central scattering region

  • Calculation of transport related quantities:

    • 5-terminal Hall calculation in $ \text{O}(n^{1.7}) $

Documentation

MMA-style documentation under construction

Incomplete References

Topological Models:

1. PRL 61, 2015 (1988).
2. PRL 95, 146802 (2005).
3. PRL 95, 226801 (2025).
4. PRB 82, 161414(R) (2010).
5. PRL 124, 136403 (2020).
6. PRL 124, 166804 (2020).

Green's function:

1. Datta, Electronic Transport in Mesoscopic Systems.
2. Datta, Quantum Transport: Atom to Transistor.
3. PRL 97, 066603 (2006).
4. Nanotechnology 18, 435402 (2007).
5. PRB 91, 125408 (2015).
6. PRB 97, 165405 (2018).