Types and standard operation for k grids and tight binding dispersions in solid state theory. This project is inteded to be used as a backend for k grid related operations in order to abstract over the actual k grid logic. For an example usage see LadderDGA.jl

Build Status	Coverage	Documentation	Social

Overview

Interface

• kG = genKGrid(s, nk) will generate a k grid with nk points in each direction from a configuration string. Examples are s = "2Dsc-1.0" (2D simple cubic with hopping parameter - t = 1.0), s = "p6m-1.0" for a hexagonal lattice.

• gridshape(kG) returns the shape of a k grid. Example: (4,4) for a lattice generated with genKGrid("2Dsc-1.0", 4)

• Nk(kG) returns the number of k points for the given grid. Example: 16 for a lattice generated with genKGrid("2Dsc-1.0", 4)

• gridPoints(kG) returns the k vektors for the given grid.

• dispersion(kG) returns the dispersion relation, i.e. an array of energy value for each point of gridPoints(kG).

• grid_type(kG) returns the KGridType of the given grid without the dimension the grid lives on.

• conv(kG, arr1, arr2) returns the convolution of the arrays arr1 and arr2 (any function evaluated on kG) on kG. This is usefull for the evaluation of expressions like G(q) = sum_k G(q)*G(k+q)

• conv_fft(kG, arr1, arr2) and conv_fft1(kG, arr1, arr2) are helpers, used when arr1 or both arr1 and arr2 are already fourier transformed (used for repeated evaluation with the same kernel).