diff --git a/docs/source/tutorial/hubbard_1d.md b/docs/source/tutorial/hubbard_1d.md index 95240a4f4e076c96e48d793f230edb511ad642d5..1f8484009c9d59473f09c9b088c264cf4f1858ff 100644 --- a/docs/source/tutorial/hubbard_1d.md +++ b/docs/source/tutorial/hubbard_1d.md @@ -108,6 +108,8 @@ The object `full_model` now contains all the information needed to solve the mea To find a mean-field solution, we first require a starting guess. In cases where the non-interacting Hamiltonian is highly degenerate, there exists several possible mean-field solutions, many of which are local and not global minima of the energy landscape. Here the problem is simple enough that we can generate a random guess for the mean-field solution through the {autolink}`~pymf.tb.utils.generate_guess` function. +It creates a random Hermitian tight-binding dictionary based on the hopping keys provided and the number of degrees of freedom within the unit cell. +Because the mean-field solution cannot contain hoppings longer than the interaction itself, we use `h_0` keys as an input to {autolink}`~pymf.tb.utils.generate_guess`. Finally, to solve the model, we use the {autolink}`~pymf.solvers.solver` function which by default employes a root-finding algorithm to find a self-consistent mean-field solution. ```{code-cell} ipython3