dyson.solvers.static.downfolded

Downfolded frequency-space diagonalisation.

Classes

Downfolded(*args, **kwargs)

Downfolded frequency-space diagonalisation.

class dyson.solvers.static.downfolded.Downfolded(*args: Any, **kwargs: Any)

Bases: StaticSolver

Downfolded frequency-space diagonalisation.

Self-consistently satisfies the eigenvalue problem

\[\Sigma(\omega) C = \omega C\]

where \(\Sigma(\omega)\) is the downfolded self-energy.

Parameters:

• static – The static part of the self-energy.

• function – The function to return the downfolded self-energy at a given frequency, the only argument.

guess: float = 0.0

max_cycle: int = 100

conv_tol: float = 1e-08

hermitian: bool = True

converged: bool | None = None

classmethod from_self_energy(static: Array, self_energy: Lehmann, overlap: Array | None = None, **kwargs: Any) → Downfolded

Create a solver from a self-energy.

Parameters:

• static – Static part of the self-energy.

• self_energy – Self-energy.

• overlap – Overlap matrix for the physical space.

• kwargs – Additional keyword arguments for the solver.

Returns:

Solver instance.

classmethod from_expression(expression: BaseExpression, **kwargs: Any) → Downfolded

Create a solver from an expression.

Parameters:

• expression – Expression to be solved.

• kwargs – Additional keyword arguments for the solver.

Returns:

Solver instance.

kernel(*args: Any, **kwargs: Any) → Any

Run the solver.

property static: Array

Get the static part of the self-energy.

property function: Callable[[float], Array]

Get the function to return the downfolded self-energy at a given frequency.

property overlap: Array | None

Get the overlap matrix for the physical space.

property nphys: int

Get the number of physical degrees of freedom.