functions.models.BasicHoneycombHamiltonian

BasicHoneycombHamiltonian(t, p, q, k, period)

The basic honeycomb lattice Hofstadter Hamiltonian.

The Hofstadter Hamiltonian for the honeycomb lattice with nearest-neighbor hopping.

Note

We have hardcoded this Hamiltonian because it is commonly used and this function is faster than calling the generic Hamiltonian method.

Parameters:

• t (list) – The list of hopping amplitudes in order of ascending NN.

• p (int) – The numerator of the flux density.

• q (int) – The denominator of the flux density.

• k (ndarray) – The momentum vector.

• period (int) – The factor by which to divide A_UC in the flux density.

Returns:

Hamiltonian – The Hofstadter Hamiltonian matrix of dimension $2q\times 2q$.

Return type:

ndarray