Off-shell effective energy theory: A unified treatment of the Hubbard model from d = 1 to d = ∞

doi:10.1103/PhysRevB.101.081105

Title: Off-shell effective energy theory: A unified treatment of the Hubbard model from $d = 1$ to $d = \infty$

Authors:

;

Publication Date:: 2020-02-13

Sponsoring Org.:: USDOE

OSTI Identifier:: 1599489

Grant/Contract Number:: SC0016507; AC02-05CH11231

Resource Type:: Publisher's Accepted Manuscript

Journal Name:: Physical Review B

Additional Journal Information:: Journal Name: Physical Review B Journal Volume: 101 Journal Issue: 8; Journal ID: ISSN 2469-9950

Publisher:: American Physical Society

Country of Publication:: United States

Language:: English

Citation Formats


                    Cheng, Zhengqian, and Marianetti, Chris A. Off-shell effective energy theory: A unified treatment of the Hubbard model from d = 1 to d = ∞.  United States: N. p., 2020. 
        Web.  doi:10.1103/PhysRevB.101.081105.

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                    Cheng, Zhengqian, & Marianetti, Chris A. Off-shell effective energy theory: A unified treatment of the Hubbard model from d = 1 to d = ∞.  United States.  doi:10.1103/PhysRevB.101.081105.

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                    Cheng, Zhengqian, and Marianetti, Chris A. Thu .  
        "Off-shell effective energy theory: A unified treatment of the Hubbard model from d = 1 to d = ∞".  United States.  doi:10.1103/PhysRevB.101.081105.

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@article{osti_1599489,

  title        = {Off-shell effective energy theory: A unified treatment of the Hubbard model from d = 1 to d = ∞},

  author       = {Cheng, Zhengqian and Marianetti, Chris A.},

  abstractNote = {},

  doi          = {10.1103/PhysRevB.101.081105},

  journal      = {Physical Review B},

  number       = 8,

  volume       = 101,

  place        = {United States},

  year         = {2020},

  month        = {2}

}

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DOI: 10.1103/PhysRevB.101.081105

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Works referenced in this record:

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Title: Off-shell effective energy theory: A unified treatment of the Hubbard model from d = 1 to d = ∞

Citation Formats

Rotationally invariant slave-boson and density matrix embedding theory: Unified framework and comparative study on the one-dimensional and two-dimensional Hubbard model journal, March 2019

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Strongly Correlated Materials: Insights From Dynamical Mean-Field Theory journal, March 2004

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Dynamical mean-field theory for correlated electrons journal, November 2011

Superconductivity and antiferromagnetism in the two-dimensional Hubbard model: A variational study journal, November 2007

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Method to include explicit correlations into density-functional calculations based on density-matrix functional theory journal, November 2011

Self-Consistent Equations Including Exchange and Correlation Effects journal, November 1965

Electron Correlation journal, December 1955

New Functional Integral Approach to Strongly Correlated Fermi Systems: The Gutzwiller Approximation as a Saddle Point journal, September 1986

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Effect of Correlation on the Ferromagnetism of Transition Metals journal, March 1963

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Local density approximation combined with Gutzwiller method for correlated electron systems: Formalism and applications journal, February 2009

Rigorous symmetry adaptation of multiorbital rotationally invariant slave-boson theory with application to Hund's rules physics journal, March 2018

Universal variational functionals of electron densities, first-order density matrices, and natural spin-orbitals and solution of the v-representability problem journal, December 1979

Zero Temperature Metal-Insulator Transition in the Infinite-Dimensional Hubbard Model journal, July 1999

Application of the numerical renormalization group method to the hubbard model in infinite dimensions journal, January 1994

Phase Diagram and Electronic Structure of Praseodymium and Plutonium journal, January 2015

Generalized density-functional theory: Conquering theN-representability problem with exact functionals for the electron pair density and the second-order reduced density matrix journal, September 2005

Inhomogeneous Electron Gas journal, November 1964

The reduced density matrix method for electronic structure calculations and the role of three-index representability conditions journal, February 2004

Dynamical mean-field theory of strongly correlated fermion systems and the limit of infinite dimensions journal, January 1996

Rotationally invariant slave-boson formalism and momentum dependence of the quasiparticle weight journal, October 2007

The one-dimensional Hubbard model: a reminiscence journal, April 2003

Linear Inequalities for Density Matrices journal, April 1969

Approximate solution of variational wave functions for strongly correlated systems: Description of bound excitons in metals and insulators journal, September 2010

Absence of Mott Transition in an Exact Solution of the Short-Range, One-Band Model in One Dimension journal, June 1968

Variational Monte Carlo Studies of the Hubbard Model in One- and Two-Dimensions –Off-Diagonal Intersite Correlation Effects– journal, May 1992

The renormalization group and critical phenomena journal, July 1983

Analytic calculation of ground-state properties of correlated fermions with the Gutzwiller wave function journal, May 1988

Correlation of Electrons in a Narrow s Band journal, March 1965

Explicit approximate relation between reduced two- and one-particle density matrices journal, November 1984

Kinetic-Energy Density-Functional Theory on a Lattice journal, June 2018

Title: Off-shell effective energy theory: A unified treatment of the Hubbard model from $d = 1$ to $d = \infty$

Rotationally invariant slave-boson and density matrix embedding theory: Unified framework and comparative study on the one-dimensional and two-dimensional Hubbard model
journal, March 2019

Dynamical mean-field theory, density-matrix embedding theory, and rotationally invariant slave bosons: A unified perspective
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Energy resolution and discretization artifacts in the numerical renormalization group
journal, February 2009

Reduced density-matrix functionals applied to the Hubbard dimer
journal, February 2016

Quantum Monte Carlo simulations of solids
journal, January 2001

Structure of Fermionic Density Matrices: Complete $N$ -Representability Conditions
journal, June 2012

Strongly Correlated Materials: Insights From Dynamical Mean-Field Theory
journal, March 2004

Density Matrix Embedding: A Simple Alternative to Dynamical Mean-Field Theory
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Local reduced-density-matrix-functional theory: Incorporating static correlation effects in Kohn-Sham equations
journal, September 2014

Effect of Correlation on the Ferromagnetism of Transition Metals
journal, May 1964

Continuous-time Monte Carlo methods for quantum impurity models
journal, May 2011

Reduction of the N ‐Particle Variational Problem
journal, December 1964

Density-matrix functionals from Green's functions
journal, November 2013

Adaptive cluster approximation for reduced density-matrix functional theory
journal, June 2018

Electron doping and superconductivity in the two-dimensional Hubbard model
journal, March 2009

Dynamical mean-field theory for correlated electrons
journal, November 2011

Superconductivity and antiferromagnetism in the two-dimensional Hubbard model: A variational study
journal, November 2007

Structure of Fermion Density Matrices
journal, July 1963

The density functional formalism, its applications and prospects
journal, July 1989

Electronic structure calculations with dynamical mean-field theory
journal, August 2006

Global Method for Electron Correlation
journal, August 2017

Solutions of the Two-Dimensional Hubbard Model: Benchmarks and Results from a Wide Range of Numerical Algorithms
journal, December 2015

Method to include explicit correlations into density-functional calculations based on density-matrix functional theory
journal, November 2011

Self-Consistent Equations Including Exchange and Correlation Effects
journal, November 1965

Electron Correlation
journal, December 1955

New Functional Integral Approach to Strongly Correlated Fermi Systems: The Gutzwiller Approximation as a Saddle Point
journal, September 1986

Sign-Problem-Free Fermionic Quantum Monte Carlo: Developments and Applications
journal, March 2019

Effect of Correlation on the Ferromagnetism of Transition Metals
journal, March 1963

Computational Complexity and Fundamental Limitations to Fermionic Quantum Monte Carlo Simulations
journal, May 2005

Local density approximation combined with Gutzwiller method for correlated electron systems: Formalism and applications
journal, February 2009

Rigorous symmetry adaptation of multiorbital rotationally invariant slave-boson theory with application to Hund's rules physics
journal, March 2018

Universal variational functionals of electron densities, first-order density matrices, and natural spin-orbitals and solution of the v-representability problem
journal, December 1979

Zero Temperature Metal-Insulator Transition in the Infinite-Dimensional Hubbard Model
journal, July 1999

Application of the numerical renormalization group method to the hubbard model in infinite dimensions
journal, January 1994

Phase Diagram and Electronic Structure of Praseodymium and Plutonium
journal, January 2015

Generalized density-functional theory: Conquering theN-representability problem with exact functionals for the electron pair density and the second-order reduced density matrix
journal, September 2005

Inhomogeneous Electron Gas
journal, November 1964

The reduced density matrix method for electronic structure calculations and the role of three-index representability conditions
journal, February 2004

Dynamical mean-field theory of strongly correlated fermion systems and the limit of infinite dimensions
journal, January 1996

Rotationally invariant slave-boson formalism and momentum dependence of the quasiparticle weight
journal, October 2007

The one-dimensional Hubbard model: a reminiscence
journal, April 2003

Linear Inequalities for Density Matrices
journal, April 1969

Approximate solution of variational wave functions for strongly correlated systems: Description of bound excitons in metals and insulators
journal, September 2010

Absence of Mott Transition in an Exact Solution of the Short-Range, One-Band Model in One Dimension
journal, June 1968

Variational Monte Carlo Studies of the Hubbard Model in One- and Two-Dimensions –Off-Diagonal Intersite Correlation Effects–
journal, May 1992

The renormalization group and critical phenomena
journal, July 1983

Analytic calculation of ground-state properties of correlated fermions with the Gutzwiller wave function
journal, May 1988

Correlation of Electrons in a Narrow $s$ Band
journal, March 1965

Explicit approximate relation between reduced two- and one-particle density matrices
journal, November 1984

Kinetic-Energy Density-Functional Theory on a Lattice
journal, June 2018