irbasis: Open-source database and software for intermediate-representation basis functions of imaginary-time Green's function
arXiv:1807.05237 · doi:10.1016/j.cpc.2019.02.006
Abstract
The open-source library, irbasis, provides easy-to-use tools for two sets of orthogonal functions named intermediate representation (IR). The IR basis enables a compact representation of the Matsubara Green's function and efficient calculations of quantum models. The IR basis functions are defined as the solution of an integral equation whose analytical solution is not available for this moment. The library consists of a database of pre-computed high-precision numerical solutions and computational code for evaluating the functions from the database. This paper describes technical details and demonstrates how to use the library.
arXiv comment12 pages, 5 figures
References in corpus (13)
- The GW method
- Continuous-time Monte Carlo methods for quantum impurity models
- A continuous-time solver for quantum impurity models
- Continuous Time Quantum Monte Carlo method for fermions
- Continuous-time auxiliary field Monte Carlo for quantum impurity models
- Orthogonal Polynomial Representation of Imaginary-Time Green's Functions
- Compressing Green's function using intermediate representation between imaginary-time and real-frequency domains
- Sparse modeling approach to analytical continuation of imaginary-time quantum Monte Carlo data
- Combined GW and dynamical mean field theory: Dynamical screening effects in transition metal oxides
- Continuous-Time Quantum Monte Carlo Method for the Coqblin-Schrieffer Model
- Chebyshev polynomial representation of imaginary time response functions
- Overcomplete compact representation of two-particle Green's functions
- Performance analysis of a physically constructed orthogonal representation of imaginary-time Green's function
Cited by in corpus (35)
- Sparse sampling approach to efficient ab initio calculations at finite temperature
- Formation mechanism of helical Q structure in Gd-based skyrmion materials
- Discrete Lehmann representation of imaginary time Green's functions
- sparse-ir: optimal compression and sparse sampling of many-body propagators
- Absence of conventional room temperature superconductivity at high pressure in carbon doped HS
- Ab-Initio self-energy embedding for the photoemission spectra of NiO and MnO
- Fully Self-Consistent Finite-Temperature in Gaussian Bloch Orbitals for Solids
- Sparse Modeling in Quantum Many-Body Problems
- Magnetic exchange coupling in cuprate-analog nickelates
- libdlr: Efficient imaginary time calculations using the discrete Lehmann representation
- Sparse sampling and tensor network representation of two-particle Green's functions
- Legendre-spectral Dyson equation solver with super-exponential convergence
- Efficient ab initio many-body calculations based on sparse modeling of Matsubara Green's function
- Solving the Bethe-Salpeter equation with exponential convergence
- Hybrid quantum-classical algorithm for computing imaginary-time correlation functions
- Efficient ab initio Migdal-Eliashberg calculation considering the retardation effect in phonon-mediated superconductors
- Efficient fluctuation exchange approach to low-temperature spin fluctuations and superconductivity: from the Hubbard model to NaCoOHO
- Ab initio exploration of short-pitch skyrmion materials: Role of orbital frustration
- Local force method for the ab initio tight-binding model with spin-dependent hopping
- Intrinsic vortex pinning in superconducting quasicrystals
- Magnetic interactions in intercalated transition metal dichalcogenides: a study based on ab initio model construction
- Sparse modeling approach to obtaining the shear viscosity from smeared correlation functions
- Sparse modeling of large-scale quantum impurity models with low symmetries
- Smooth self-energy in the exact-diagonalization-based dynamical mean-field theory: Intermediate-representation filtering approach
- Minimal pole representation and analytic continuation of matrix-valued correlation functions
- Excitations and spectra from equilibrium real-time Green's functions
- No superconductivity in PbCu(PO)O found in orbital and spin fluctuation exchange calculations
- Doping fingerprints of spin and lattice fluctuations in moiré superlattice systems
- Generation of polarized spin-triplet Cooper pairings by magnetic barriers in superconducting junctions
- Equivariant neural network for Green's functions of molecules and materials
- Discrete Lehmann representation of three-point functions
- Itinerant ferromagnetism in an SU(3) Fermi-Hubbard model at finite temperatures: A dynamical mean-field theory study
- Coherent cellular dynamical mean-field theory: a real-space quantum embedding approach to disorder in strongly correlated electron systems
- Generalized Nagaoka ferromagnetism accompanied by flavor-selective Mott states in an SU() Fermi-Hubbard model
- Nonpertubative Many-Body Theory for the Two-Dimensional Hubbard Model at Low Temperature: From Weak to Strong Coupling Regimes