Reference documentation

The main class is solver_core. It constructs Monte-Carlo solver which owns a set of moves and measures. These in turn act on a configuration.

• constr() parameters
• solve() parameters
• Monte-Carlo updates (moves)
• Measures
  • Postprocessing steps

Python interface

class triqs_ctint.SolverCore

The Solver class

D0_iw

Dynamic density-density interaction in Matsubara frequencies

F_iw

The two-particle vertex function in purely fermionic notation (iw1, iw2, iw3)

Fph_iw

The two-particle vertex function in the ph channel

Fpp_iw

The two-particle vertex function in the pp channel

G0_iw

Noninteracting Green Function in Matsubara frequencies

G0_shift_iw

The shifted noninteracting Green Function in Matsubara frequencies

G0_shift_tau

The shifted noninteracting Green Function in imaginary time

G2_iw

The two-particle Green function

G2c_iw

The connected part of the two-particle Green function

G2ph_iw

The two-particle Green function (ph channel)

G2phc_iw

The connected part of the two-particle Green function (ph channel)

G2pp_iw

The two-particle Green function (pp channel)

G2ppc_iw

The connected part of the two-particle Green function (pp channel)

G_iw

Greens function in Matsubara frequencies (Eq. (18) in Notes). Dependent on M_iw

Jperp_iw

Dynamic spin-spin interaction in Matsubara frequencies

M3ph_delta

Equal-time peak in M3ph_tau

M3ph_iw

Building block for the fermion boson vertex (ph channel) in Matsubara frequencies

M3ph_iw_nfft

Building block for the fermion boson vertex (ph channel) in Matsubara frequencies using NFFT

M3ph_tau

Building block for the fermion boson vertex (ph channel) in imaginary time

M3pp_delta

Equal-time peak in M3pp_tau

M3pp_iw

Building block for the fermion boson vertex (pp channel) in Matsubara frequencies

M3pp_iw_nfft

Building block for the fermion boson vertex (pp channel) in Matsubara frequencies using NFFT

M3pp_tau

Building block for the fermion boson vertex (pp channel) in imaginary time

M3xph_delta

Equal-time peak in M3ph_tau

M3xph_iw

Building block for the fermion boson vertex (xph channel) in Matsubara frequencies

M3xph_tau

Building block for the fermion boson vertex (xph channel) in imaginary time

M4_iw

Building block for the full vertex function measured directly in Matsubara frequencies using NFFT

M4ph_iw

Building block for the full vertex function (ph channel) measured directly in Matsubara frequencies using NFFT

M4pp_iw

Building block for the full vertex function (pp channel) measured directly in Matsubara frequencies using NFFT

M_hartree

Hartree-term of M_tau

M_iw

The Fourier-transform of M_tau. Dependent on M_tau

M_iw_nfft

Same as M_tau, but measured directly in Matsubara frequencies using NFFT

M_tau

Building block for the Green function in imaginary time (Eq. (23) in Notes)

Sigma_iw

Self-energy in Matsubara frequencies. Dependent on M_iw

auto_corr_time

Auto-correlation time

average_k

Average perturbation order

average_sign

Average sign of the CTINT

chi2ph_conn_tau_from_M3

M2 in the particle-hole channel in imaginary time as obtained from M3

chi2ph_iw

The equal time correlator $chi_2$ in the particle-hole channel in Matsubara frequencies

chi2ph_iw_from_M3

The equal time correlator $chi_2$ in the particle-hole channel in imaginary frequencies as obtained from M3ph_tau

chi2ph_tau

The equal time correlator $chi_2$ in the particle-hole channel in imaginary times as obtained by operator insertion

chi2ph_tau_from_M3

The equal time correlator $chi_2$ in the particle-hole channel in imaginary times as obtained from M3ph_tau

chi2pp_conn_tau_from_M3

M2 in the particle-particle channel in imaginary time as obtained from M3

chi2pp_iw

The equal time correlator $chi_2$ in the particle-particle channel in Matsubara frequencies

chi2pp_iw_from_M3

The equal time correlator $chi_2$ in the particle-particle channel in imaginary frequencies as obtained from M3pp_tau

chi2pp_tau

The equal time correlator $chi_2$ in the particle-particle channel in imaginary times as obtained by operator insertion

chi2pp_tau_from_M3

The equal time correlator $chi_2$ in the particle-particle channel in imaginary times as obtained from M3pp_tau

chi2xph_conn_tau_from_M3

M2 in the particle-hole-cross channel in imaginary time as obtained from M3

chi2xph_iw_from_M3

The equal time correlator $chi_2$ in the particle-hole-cross channel in imaginary frequencies as obtained from M3ph_tau

chi2xph_tau_from_M3

The equal time correlator $chi_2$ in the particle-hole-cross channel in imaginary times as obtained from M3ph_tau

chi3ph_iw

The equal time correlator $chi_3$ in the particle-hole channel in Matsubara frequencies

chi3ph_iw_nfft

The equal time correlator $chi_3$ in the particle-hole channel in Matsubara frequencies as obtained by the NFFT $M_3$ measurement

chi3pp_iw

The equal time correlator $chi_3$ in the particle-particle channel in Matsubara frequencies

chi3pp_iw_nfft

The equal time correlator $chi_3$ in the particle-particle channel in Matsubara frequencies as obtained by the NFFT $M_3$ measurement

chi3xph_iw

The equal time correlator $chi_3$ in the particle-hole-cross channel in Matsubara frequencies

chiAB_iw

The correlation function $chi_AB$ in imaginary frequencies

chiAB_tau

The correlation function $chi_AB$ in imaginary times

density

The density matrix (measured by operator insertion)

static hdf5_format()

Signature : () -> str

histogram

Average perturbation order distribution

post_process()

Signature : () -> None

solve()

Solve method that performs CTINT calculation

Parameter Name	Type	Default	Documentation
h_int	triqs::operators::many_body_operator	–	Interaction Hamiltonian
n_s	int	1	Number of auxiliary spins
alpha	triqs_ctint::alpha_t	–	Alpha parameter
n_cycles	int	–	Number of MC cycles
length_cycle	int	50	Length of a MC cycles
n_warmup_cycles	int	5000	Number of warmup cycles
random_seed	int	34788+928374*mpi::communicator().rank()	Random seed of the random generator
random_name	std::string	“”	Name of the random generator
use_double_insertion	bool	false	Use double insertion
max_time	int	-1	Maximum running time in seconds (-1 : no limit)
verbosity	int	mpi::communicator().rank()==0?3:0	Verbosity
measure_average_sign	bool	true	Measure the MC sign
measure_average_k	bool	true	Measure the average perturbation order
measure_auto_corr_time	bool	true	Measure the auto-correlation time
measure_histogram	bool	false	Measure the average perturbation order distribution
measure_density	bool	false	Measure the density matrix by operator insertion
measure_M_tau	bool	true	Measure M(tau)
measure_M_iw	bool	false	Measure M(iomega) using nfft
measure_M4_iw	bool	false	Measure M4(iw) NFFT
measure_M4pp_iw	bool	false	Measure M4pp(iw) NFFT
measure_M4ph_iw	bool	false	Measure M4ph(iw) NFFT
n_iW_M4	int	32	Number of positive bosonic Matsubara frequencies in M4
n_iw_M4	int	32	Number of positive fermionic Matsubara frequencies in M4
measure_M3pp_iw	bool	false	Measure M3pp(iw)
measure_M3ph_iw	bool	false	Measure M3ph(iw)
n_iw_M3	int	64	Number of positive fermionic Matsubara frequencies in M3
n_iW_M3	int	32	Number of positive bosonic Matsubara frequencies in M3
measure_M3pp_tau	bool	false	Measure M3pp(tau)
measure_M3ph_tau	bool	false	Measure M3ph(tau)
measure_M3xph_tau	bool	false	Measure M3xph(tau)
n_tau_M3	int	201	Number of imaginary time points in M3
measure_chi2pp_tau	bool	false	Measure of chi2pp by insertion
measure_chi2ph_tau	bool	false	Measure of chi2ph by insertion
n_tau_chi2	int	201	Number of imaginary time points in chi2
n_iw_chi2	int	32	Number of positive Matsubara frequencies in chi2
measure_chiAB_tau	bool	false	Measure of chiAB by insertion
chi_A_vec	std::vector<many_body_operator>	{}	The list of all operators A
chi_B_vec	std::vector<many_body_operator>	{}	The list of all operators B
nfft_buf_size	int	500	Size of the Nfft buffer
post_process	bool	true	Perform post processing
det_init_size	int	1000	The maximum size of the determinant matrix before a resize
det_n_operations_before_check	int	100	Max number of ops before the test of deviation of the det, M^-1 is performed.
det_precision_warning	double	1.e-8	Threshold for determinant precision warnings
det_precision_error	double	1.e-5	Threshold for determinant precision error
det_singular_threshold	double	-1	Bound for the determinant matrix being singular: abs(det) < singular_threshold. For negative threshold check if !isnormal(abs(det)).