Decay properties of the one-particle Green function in real space and imaginary time

Abstract

The decay properties of the one-particle Green function in real space and imaginary time are systematically studied for solids. I present an analytic solution for the homogeneous electron gas at finite and at zero temperature as well as asymptotic formulas for real metals and insulators that allow an analytic treatment in electronic-structure calculations based on a space-time representation. The generic dependence of the decay constants on known system parameters is used to compare the scaling of reciprocal-space algorithms for the GW approximation and the space-time method.

arXiv comment4 pages, RevTeX

References in corpus (5)

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Cited by in corpus (9)

• Cubic-scaling all-electron GW calculations with a separable density-fitting space-time approach
• Low-order Scaling $G_0{W}_0$ by Pair Atomic Density Fitting
• Screening in 2D: GW calculations for surfaces and thin films using the repeated-slab approach
• Separable Resolution-of-the-Identity with All-Electron Gaussian Bases: Application to Cubic-scaling RPA
• Diagrammatic self-energy approximations and the total particle number
• Universal polarization energies for defects in monolayer, surface and bulk hexagonal boron nitride : A finite-size fragments GW approach
• Quasiparticle Calculations for Point Defects on Semiconductor Surfaces
• Wannier interpolation of one-particle Green's functions from coupled-cluster singles and doubles (CCSD)
• Linear Algebra with Disordered Sparse Matrices that have Spatial Structure: Theory and Computation