Tiling with triangles: parquet and GWγ methods unified

被引：32

作者：

Krien, Friedrich ^{[1
]}

Kauch, Anna ^{[1
]}

Held, Karsten ^{[1
]}

机构：

[1] TU Wien, Inst Solid State Phys, A-1040 Vienna, Austria

来源：

PHYSICAL REVIEW RESEARCH | 2021年 / 3卷 / 01期

基金：

奥地利科学基金会;

关键词：

FUNCTIONAL RENORMALIZATION-GROUP; GREENS-FUNCTION; HUBBARD-MODEL; ENERGIES;

D O I：

10.1103/PhysRevResearch.3.013149

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The parquet formalism and Hedin's GW gamma approach are unified into a single theory of vertex corrections, corresponding to an exact reformulation of the parquet equations in terms of boson exchange. The method has no drawbacks compared to previous parquet solvers but has the significant advantage that the vertex functions decay quickly with frequencies and with respect to distances in real space. These properties coincide with the respective separation of the length and energy scales of the two-particle correlations into long/short-ranged and high/low-energetic.

引用

页数：12

共 74 条

[1] Variational total energies from φ- and Ψ-derivable theories [J].

Almbladh, CO ;

Von Barth, U ;

Van Leeuwen, R .

INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 1999, 13 (5-6) :535-541

[2] The GW method [J].

Aryasetiawan, F ;

Gunnarsson, O .

REPORTS ON PROGRESS IN PHYSICS, 1998, 61 (03) :237-312

[3] INFLUENCE OF FLUCTUATION PAIRING OF ELECTRONS ON CONDUCTIVITY OF NORMAL METAL [J].

ASLAMAZO.LG ;

LARKIN, AI .

PHYSICS LETTERS A, 1968, A 26 (06) :238-&

[4] Dual parquet scheme for the two-dimensional Hubbard model: Modeling low-energy physics of high-Tc cuprates with high momentum resolution [J].

Astretsov, Grigory V. ;

Rohringer, Georg ;

Rubtsov, Alexey N. .

PHYSICAL REVIEW B, 2020, 101 (07)

[5] Fierz Convergence Criterion: A Controlled Approach to Strongly Interacting Systems with Small Embedded Clusters [J].

Ayral, Thomas ;

Vucicevic, Jaksa ;

Parcollet, Olivier .

PHYSICAL REVIEW LETTERS, 2017, 119 (16)

[6] Mott physics and collective modes: An atomic approximation of the four-particle irreducible functional [J].

Ayral, Thomas ;

Parcollet, Olivier .

PHYSICAL REVIEW B, 2016, 94 (07)

[7] Optical and dc conductivity of the two-dimensional Hubbard model in the pseudogap regime and across the antiferromagnetic quantum critical point including vertex corrections [J].

Bergeron, Dominic ;

Hankevych, Vasyl ;

Kyung, Bumsoo ;

Tremblay, A. -M. S. .

PHYSICAL REVIEW B, 2011, 84 (08)

[8] Self-consistent many-body theory for condensed matter systems [J].

Bickers, NE .

THEORETICAL METHODS FOR STRONGLY CORRELATED ELECTRONS, 2004, :237-296

[9] First-principles approach to the electronic structure of strongly correlated systems:: Combining the GW approximation and dynamical mean-field theory -: art. no. 086402 [J].

Biermann, S ;

Aryasetiawan, F ;

Georges, A .

PHYSICAL REVIEW LETTERS, 2003, 90 (08) :4

[10] Quasiparticle interaction function in a two-dimensional Fermi liquid near an antiferromagnetic critical point [J].

Chubukov, Andrey V. ;

Woelfle, Peter .

PHYSICAL REVIEW B, 2014, 89 (04)

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