TwistedBoundaryConditions.jl

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Installation

The package is not yet registered in the Julia general registry. It can be installed trough the package manager with the following command:

pkg> add git@github.com:ManyBodyLab/TwistedBoundaryConditions.jl.git

Code Samples

# Simple Cubic Basis
julia> using TwistedBoundaryConditions
julia> b1 = [1.0, 0.0, 0.0]; b2 = [0.0, 1.0, 0.0]; b3 = [0.0, 0.0, 1.0];
julia> Ns, U, ratio = calculate_optimal_tbc(12, [b1, b2, b3], search_range=1);
julia> println("Optimal Ns: $Ns")
Optimal Ns: [1, 3, 4]
julia> println("Optimal U matrix: \n$U")
Optimal U matrix:
[1 0 0; -1 1 0; -1 -1 1]
julia> println("Aspect Ratio: $ratio")
Aspect Ratio: 0.8164965809277259
# Triangular Lattice Basis
julia> b2 = [1.0, 0.0]; b1 = [-0.5, sqrt(3)/2];
julia> Ns, U, ratio = calculate_optimal_tbc(21, [b1, b2], search_range=1);
julia> println("Optimal Ns: $Ns")
Optimal Ns: [3, 7]
julia> println("Optimal U matrix: \n$U")
Optimal U matrix:
[1 0; -1 1]
julia> println("Aspect Ratio: $ratio")
Aspect Ratio: 0.6735753140545634
julia> b2 = [1.0, 0.0]; b1 = [-0.5, sqrt(3)/2];
julia> Ns, U, ratio = calculate_optimal_tbc(21, [b1, b2], search_range=2);
julia> println("Optimal Ns: $Ns")
Optimal Ns: [3, 7]
julia> println("Optimal U matrix: \n$U")
Optimal U matrix:
[2 -1; -1 1]
julia> println("Aspect Ratio: $ratio")
Aspect Ratio: 0.9571859726038531

License

TwistedBoundaryConditions.jl is licensed under the MIT License. By using or interacting with this software in any way, you agree to the license of this software.