Sample Green's Function Builder

MultiPole(β, isFermi::Bool, symmetry::Symbol, Grid, type::Symbol, poles, regularized::Bool = true)
MultiPole(dlr, type::Symbol, poles, Grid = dlrGrid(dlr, type); regularized::Bool = true)

Generate Green's function from a spectral density with delta peaks specified by the argument $poles$. Return the function on Grid and the systematic error.

#Arguments

• dlr: dlrGrid struct
• β : inverse temperature
• isFermi: is fermionic or bosonic
• symmetry: particle-hole symmetric :ph, particle-hole antisymmetric :pha, or :none
• Grid: grid to evalute on
• type: imaginary-time with :τ, or Matsubara-frequency with :n
• poles: a list of frequencies for the delta functions
• regularized: use regularized bosonic kernel if symmetry = :none

SemiCircle(Euv, β, isFermi::Bool, Grid, type::Symbol, symmetry::Symbol = :none; rtol = nothing, degree = 24, regularized::Bool = true)
SemiCircle(dlr, type::Symbol, Grid = dlrGrid(dlr, type); degree = 24, regularized::Bool = true)

Generate Green's function from a semicircle spectral density. Return the function on Grid and the systematic error.

#Arguments

• dlr: dlrGrid struct
• Euv : ultraviolet energy cutoff
• β : inverse temperature
• isFermi: is fermionic or bosonic
• Grid: grid to evalute on
• type: imaginary-time with :τ, or Matsubara-frequency with :n
• symmetry: particle-hole symmetric :ph, particle-hole antisymmetric :pha, or :none
• rtol: accuracy to achieve
• degree: polynomial degree for integral
• regularized: use regularized bosonic kernel if symmetry = :none