Systematic vertex corrections through iterative solution of Hedin's equations beyond the GW approximation

A Schindlmayr; R W Godby

Systematic vertex corrections through iterative solution of Hedin's equations beyond the GW approximation

A Schindlmayr, R W Godby

Physics

Research output: Contribution to journal › Article › peer-review

Abstract

We present a general procedure for obtaining progressively more accurate functional expressions for the electron self-energy by iterative solution of Hedin's coupled equations. The iterative process starting from Hartree theory, which gives rise to the GW approximation, is continued further, and an explicit formula for the vertex function from the second full cycle is given. Calculated excitation energies for a Hubbard Hamiltonian demonstrate the convergence of the iterative process and provide further strong justification for the GW approximation. [S0031-9007(98)05360-5].

Original language	English
Pages (from-to)	1702-1705
Number of pages	4
Journal	Physical Review Letters
Volume	80
Issue number	8
Publication status	Published - 23 Feb 1998

Keywords

QUASIPARTICLE ENERGIES
SELF-ENERGY
BAND-GAPS
SEMICONDUCTORS
ELECTRON
INSULATORS
SILICON
METALS

Cite this

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title = "Systematic vertex corrections through iterative solution of Hedin's equations beyond the GW approximation",

abstract = "We present a general procedure for obtaining progressively more accurate functional expressions for the electron self-energy by iterative solution of Hedin's coupled equations. The iterative process starting from Hartree theory, which gives rise to the GW approximation, is continued further, and an explicit formula for the vertex function from the second full cycle is given. Calculated excitation energies for a Hubbard Hamiltonian demonstrate the convergence of the iterative process and provide further strong justification for the GW approximation. [S0031-9007(98)05360-5].",

keywords = "QUASIPARTICLE ENERGIES, SELF-ENERGY, BAND-GAPS, SEMICONDUCTORS, ELECTRON, INSULATORS, SILICON, METALS",

author = "A Schindlmayr and Godby, {R W}",

year = "1998",

month = feb,

day = "23",

language = "English",

volume = "80",

pages = "1702--1705",

journal = "Physical Review Letters",

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T1 - Systematic vertex corrections through iterative solution of Hedin's equations beyond the GW approximation

AU - Schindlmayr, A

AU - Godby, R W

PY - 1998/2/23

Y1 - 1998/2/23

N2 - We present a general procedure for obtaining progressively more accurate functional expressions for the electron self-energy by iterative solution of Hedin's coupled equations. The iterative process starting from Hartree theory, which gives rise to the GW approximation, is continued further, and an explicit formula for the vertex function from the second full cycle is given. Calculated excitation energies for a Hubbard Hamiltonian demonstrate the convergence of the iterative process and provide further strong justification for the GW approximation. [S0031-9007(98)05360-5].

AB - We present a general procedure for obtaining progressively more accurate functional expressions for the electron self-energy by iterative solution of Hedin's coupled equations. The iterative process starting from Hartree theory, which gives rise to the GW approximation, is continued further, and an explicit formula for the vertex function from the second full cycle is given. Calculated excitation energies for a Hubbard Hamiltonian demonstrate the convergence of the iterative process and provide further strong justification for the GW approximation. [S0031-9007(98)05360-5].

KW - QUASIPARTICLE ENERGIES

KW - SELF-ENERGY

KW - BAND-GAPS

KW - SEMICONDUCTORS

KW - ELECTRON

KW - INSULATORS

KW - SILICON

KW - METALS

M3 - Article

SN - 0031-9007

VL - 80

SP - 1702

EP - 1705

JO - Physical Review Letters

JF - Physical Review Letters

IS - 8

ER -