Finite-temperature many-body perturbation theory in the grand canonical ensemble

The Journal of Chemical Physics ◽

10.1063/5.0009679 ◽

2020 ◽

Vol 153 (1) ◽

pp. 014103

Author(s):

So Hirata ◽

Punit K. Jha

Keyword(s):

Perturbation Theory ◽

Finite Temperature ◽

Canonical Ensemble ◽

Grand Canonical Ensemble ◽

Many Body ◽

Many Body Perturbation Theory ◽

Grand Canonical

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Converging finite-temperature many-body perturbation theory in the grand canonical ensemble that conserves the average number of electrons

Annual Reports in Computational Chemistry ◽

10.1016/bs.arcc.2019.08.003 ◽

2019 ◽

pp. 17-37 ◽

Cited By ~ 3

Author(s):

So Hirata ◽

Punit K. Jha

Keyword(s):

Perturbation Theory ◽

Finite Temperature ◽

Canonical Ensemble ◽

Grand Canonical Ensemble ◽

Many Body ◽

Many Body Perturbation Theory ◽

Grand Canonical

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Finite-temperature many-body perturbation theory for electrons: Algebraic recursive definitions, second-quantized derivation, linked-diagram theorem, general-order algorithms, and grand canonical and canonical ensembles

The Journal of Chemical Physics ◽

10.1063/5.0061384 ◽

2021 ◽

Vol 155 (9) ◽

pp. 094106

Author(s):

So Hirata

Keyword(s):

Perturbation Theory ◽

Finite Temperature ◽

Many Body ◽

General Order ◽

Many Body Perturbation Theory ◽

Canonical Ensembles ◽

Recursive Definitions ◽

Grand Canonical

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Finite-temperature many-body perturbation theory in the canonical ensemble

Physical Review E ◽

10.1103/physreve.101.022106 ◽

2020 ◽

Vol 101 (2) ◽

Cited By ~ 4

Author(s):

Punit K. Jha ◽

So Hirata

Keyword(s):

Perturbation Theory ◽

Finite Temperature ◽

Canonical Ensemble ◽

Many Body ◽

Many Body Perturbation Theory

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Finite-Temperature Many-Body Perturbation Theory for Superconducting Fermion Systems

Condensed Matter Theories ◽

10.1007/978-1-4613-0605-4_19 ◽

1990 ◽

pp. 173-181

Author(s):

Donald H. Kobe

Keyword(s):

Perturbation Theory ◽

Finite Temperature ◽

Many Body ◽

Fermion Systems ◽

Many Body Perturbation Theory

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Examination of the structural properties of the H3O+(H2O)n clusters in the (μPT) Grand Canonical ensemble, by employing a new many-body potential-energy function

The Journal of Chemical Physics ◽

10.1063/1.480033 ◽

1999 ◽

Vol 111 (20) ◽

pp. 9303-9314 ◽

Cited By ~ 38

Author(s):

Sergey V. Shevkunov ◽

Alice Vegiri

Keyword(s):

Potential Energy ◽

Structural Properties ◽

Energy Function ◽

Canonical Ensemble ◽

Potential Energy Function ◽

Grand Canonical Ensemble ◽

Many Body ◽

Body Potential ◽

Grand Canonical

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Numerical evidence invalidating finite-temperature many-body perturbation theory

Annual Reports in Computational Chemistry ◽

10.1016/bs.arcc.2019.08.002 ◽

2019 ◽

pp. 3-15 ◽

Cited By ~ 3

Author(s):

Punit K. Jha ◽

So Hirata

Keyword(s):

Perturbation Theory ◽

Finite Temperature ◽

Many Body ◽

Numerical Evidence ◽

Many Body Perturbation Theory

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Finite temperature grand canonical ensemble study of the minimum electrophilicity principle

The Journal of Chemical Physics ◽

10.1063/1.4996443 ◽

2017 ◽

Vol 147 (12) ◽

pp. 124103 ◽

Cited By ~ 10

Author(s):

Ramón Alain Miranda-Quintana ◽

Pratim K. Chattaraj ◽

Paul W. Ayers

Keyword(s):

Finite Temperature ◽

Canonical Ensemble ◽

Grand Canonical Ensemble ◽

Grand Canonical

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Finite-temperature second-order many-body perturbation theory revisited

Chemical Physics ◽

10.1016/j.chemphys.2016.08.001 ◽

2017 ◽

Vol 482 ◽

pp. 355-361 ◽

Cited By ~ 14

Author(s):

Robin Santra ◽

Jochen Schirmer

Keyword(s):

Perturbation Theory ◽

Finite Temperature ◽

Second Order ◽

Many Body ◽

Many Body Perturbation Theory

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From Finite Temperature Many-Body Perturbation Theory to Series Expansions and Monte Carlo Simulations

Springer Proceedings in Physics - Computer Simulation Studies in Condensed-Matter Physics XI ◽

10.1007/978-3-642-60095-1_11 ◽

1999 ◽

pp. 71-83

Author(s):

Norbert Elstner ◽

Anders W. Sandvik ◽

Rajiv R. P. Singh

Keyword(s):

Monte Carlo ◽

Perturbation Theory ◽

Monte Carlo Simulations ◽

Finite Temperature ◽

Series Expansions ◽

Many Body ◽

Many Body Perturbation Theory

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Automatic computing of the grand potential in finite temperature many-body perturbation theory

International Journal of Modern Physics C ◽

10.1142/s0129183119501006 ◽

2019 ◽

Vol 30 (11) ◽

pp. 1950100

Author(s):

M. A. Tag ◽

M. E. Mansour

Keyword(s):

Perturbation Theory ◽

Finite Temperature ◽

Mathematical Expression ◽

Thermodynamic Quantities ◽

Many Body ◽

Textual Data ◽

Grand Potential ◽

Many Body Perturbation Theory ◽

Analytic Expression ◽

Text Language

A new program created in C/C[Formula: see text] language generates automatically the analytic expression of grand potential and prints it in Latex2e format and in textual data. Another code created in Mathematica language can translate the textual data into a mathematical expression and help any interested to evaluate the thermodynamic quantities in analytic or numeric forms.

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