Cluster-based mean-field and perturbative description of strongly correlated fermion systems: Application to the one- and two-dimensional Hubbard model

Jiménez-Hoyos, Carlos A.; Scuseria, Gustavo E.

doi:10.1103/PhysRevB.92.085101

Title: Cluster-based mean-field and perturbative description of strongly correlated fermion systems: Application to the one- and two-dimensional Hubbard model

Authors:: Jiménez-Hoyos, Carlos A.; Scuseria, Gustavo E.

Publication Date:: Mon Aug 03 00:00:00 EDT 2015

Sponsoring Org.:: USDOE

OSTI Identifier:: 1208209

Grant/Contract Number:: FG02-09ER16053

Resource Type:: Publisher's Accepted Manuscript

Journal Name:: Physical Review B

Additional Journal Information:: Journal Name: Physical Review B Journal Volume: 92 Journal Issue: 8; Journal ID: ISSN 1098-0121

Publisher:: American Physical Society

Country of Publication:: United States

Language:: English

Citation Formats


                    Jiménez-Hoyos, Carlos A., and Scuseria, Gustavo E. Cluster-based mean-field and perturbative description of strongly correlated fermion systems: Application to the one- and two-dimensional Hubbard model.  United States: N. p., 2015. 
Web.  doi:10.1103/PhysRevB.92.085101.

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                    Jiménez-Hoyos, Carlos A., & Scuseria, Gustavo E. Cluster-based mean-field and perturbative description of strongly correlated fermion systems: Application to the one- and two-dimensional Hubbard model.  United States.  https://doi.org/10.1103/PhysRevB.92.085101

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                    Jiménez-Hoyos, Carlos A., and Scuseria, Gustavo E. Mon .  
"Cluster-based mean-field and perturbative description of strongly correlated fermion systems: Application to the one- and two-dimensional Hubbard model".  United States.  https://doi.org/10.1103/PhysRevB.92.085101.

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@article{osti_1208209,

  title        = {Cluster-based mean-field and perturbative description of strongly correlated fermion systems: Application to the one- and two-dimensional Hubbard model},

  author       = {Jiménez-Hoyos, Carlos A. and Scuseria, Gustavo E.},

  abstractNote = {},

  doi          = {10.1103/PhysRevB.92.085101},

  journal      = {Physical Review B},

  number       = 8,

  volume       = 92,

  place        = {United States},

  year         = {Mon Aug 03 00:00:00 EDT 2015},

  month        = {Mon Aug 03 00:00:00 EDT 2015}

}

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Title: Cluster-based mean-field and perturbative description of strongly correlated fermion systems: Application to the one- and two-dimensional Hubbard model

Citation Formats

Localized molecular orbitals for polyatomic molecules. I. A comparison of the Edmiston‐Ruedenberg and Boys localization methods journal, November 1974

Block correlated second order perturbation theory with a generalized valence bond reference function journal, November 2013

Renormalization and tensor product states in spin chains and lattices journal, December 2009

ARPACK Users' Guide book, January 1998

Spin and Charge Order in the Doped Hubbard Model: Long-Wavelength Collective Modes journal, March 2010

Many – Body Methods in Chemistry and Physics book, January 2009

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Higher excitations in coupled-cluster theory journal, August 2001

Exotic spin, charge and pairing correlations of the two-dimensional doped Hubbard model: A symmetry-entangled mean-field approach journal, March 2013

Approximating strongly correlated wave functions with correlator product states journal, December 2009

Convergency studies of second and approximate second order multiconfigurational Hartree−Fock procedures journal, July 1979

The One-Dimensional Hubbard Model book, January 2009

Contractor renormalization group technology and exact Hamiltonian real-space renormalization group transformations journal, September 1996

A geminal model chemistry journal, October 2002

A practical introduction to tensor networks: Matrix product states and projected entangled pair states journal, October 2014

Ground-state properties of quantum many-body systems: entangled-plaquette states and variational Monte Carlo journal, August 2009

Exponential transformation of molecular orbitals: A quadratically convergent SCF procedure. I. General formulation and application to closed‐shell ground states journal, February 1980

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Quantum Theory of Many-Particle Systems. III. Extension of the Hartree-Fock Scheme to Include Degenerate Systems and Correlation Effects journal, March 1955

A quadratically convergent multiconfiguration–self‐consistent field method with simultaneous optimization of orbitals and CI coefficients journal, September 1980

Block-correlated coupled cluster theory: The general formulation and its application to the antiferromagnetic Heisenberg model journal, March 2004

Self-Consistent Field, Including Exchange and Superposition of Configurations, with Some Results for Oxygen journal, July 1939

Numerical contractor renormalization method for quantum spin models journal, September 2004

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The complete active space SCF (CASSCF) method in a Newton–Raphson formulation with application to the HNO molecule journal, February 1981

Exploring contractor renormalization: Perspectives and tests on the two-dimensional Heisenberg antiferromagnet journal, May 2007

Block correlated coupled cluster method with a complete-active-space self-consistent-field reference function: The formula for general active spaces and its applications for multibond breaking systems journal, June 2008

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Colloquium : Area laws for the entanglement entropy journal, February 2010

Block correlated coupled cluster method with the complete active-space self-consistent-field reference function: Applications for low-lying electronic excited states journal, November 2009

A Jacobi–Davidson Iteration Method for Linear Eigenvalue Problems journal, April 1996

Hierarchical mean-field approach to the J 1 − J 2 Heisenberg model on a square lattice journal, January 2009

Nonstochastic algorithms for Jastrow-Slater and correlator product state wave functions journal, November 2011

Electron correlations in narrow energy bands journal, November 1963

Note on an Approximation Treatment for Many-Electron Systems journal, October 1934

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

The iterative calculation of a few of the lowest eigenvalues and corresponding eigenvectors of large real-symmetric matrices journal, January 1975

Some Recent Advances in Density Matrix Theory journal, April 1960

Communication: Active-space decomposition for molecular dimers journal, July 2013

Communication: Active space decomposition with multiple sites: Density matrix renormalization group algorithm journal, December 2014

Quasi-diabatic States from Active Space Decomposition journal, July 2014

Crossover of Spin Correlations in the One-Dimensional Hubbard Model journal, November 1992

Quantisierung als Eigenwertproblem journal, January 1926

Localized molecular orbitals for polyatomic molecules. I. A comparison of the Edmiston‐Ruedenberg and Boys localization methods
journal, November 1974

Block correlated second order perturbation theory with a generalized valence bond reference function
journal, November 2013

Renormalization and tensor product states in spin chains and lattices
journal, December 2009

ARPACK Users' Guide
book, January 1998

Spin and Charge Order in the Doped Hubbard Model: Long-Wavelength Collective Modes
journal, March 2010

Many – Body Methods in Chemistry and Physics
book, January 2009

Density-matrix algorithms for quantum renormalization groups
journal, October 1993

Higher excitations in coupled-cluster theory
journal, August 2001

Exotic spin, charge and pairing correlations of the two-dimensional doped Hubbard model: A symmetry-entangled mean-field approach
journal, March 2013

Approximating strongly correlated wave functions with correlator product states
journal, December 2009

Convergency studies of second and approximate second order multiconfigurational Hartree−Fock procedures
journal, July 1979

The One-Dimensional Hubbard Model
book, January 2009

Contractor renormalization group technology and exact Hamiltonian real-space renormalization group transformations
journal, September 1996

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journal, October 2002

A practical introduction to tensor networks: Matrix product states and projected entangled pair states
journal, October 2014

Ground-state properties of quantum many-body systems: entangled-plaquette states and variational Monte Carlo
journal, August 2009

Exponential transformation of molecular orbitals: A quadratically convergent SCF procedure. I. General formulation and application to closed‐shell ground states
journal, February 1980

Density matrix formulation for quantum renormalization groups
journal, November 1992

Quantum Theory of Many-Particle Systems. III. Extension of the Hartree-Fock Scheme to Include Degenerate Systems and Correlation Effects
journal, March 1955

A quadratically convergent multiconfiguration–self‐consistent field method with simultaneous optimization of orbitals and CI coefficients
journal, September 1980

Block-correlated coupled cluster theory: The general formulation and its application to the antiferromagnetic Heisenberg model
journal, March 2004

Self-Consistent Field, Including Exchange and Superposition of Configurations, with Some Results for Oxygen
journal, July 1939

Numerical contractor renormalization method for quantum spin models
journal, September 2004

The Resonating Valence Bond State in La2CuO4 and Superconductivity
journal, March 1987

The complete active space SCF (CASSCF) method in a Newton–Raphson formulation with application to the HNO molecule
journal, February 1981

Exploring contractor renormalization: Perspectives and tests on the two-dimensional Heisenberg antiferromagnet
journal, May 2007

Block correlated coupled cluster method with a complete-active-space self-consistent-field reference function: The formula for general active spaces and its applications for multibond breaking systems
journal, June 2008

A complete active space SCF method (CASSCF) using a density matrix formulated super-CI approach
journal, May 1980

Spin- and charge-density waves in the Hartree–Fock ground state of the two-dimensional Hubbard model
journal, November 2011

Colloquium : Area laws for the entanglement entropy
journal, February 2010

Block correlated coupled cluster method with the complete active-space self-consistent-field reference function: Applications for low-lying electronic excited states
journal, November 2009

A Jacobi–Davidson Iteration Method for Linear Eigenvalue Problems
journal, April 1996

Hierarchical mean-field approach to the $J_{1} − J_{2}$ Heisenberg model on a square lattice
journal, January 2009

Nonstochastic algorithms for Jastrow-Slater and correlator product state wave functions
journal, November 2011

Electron correlations in narrow energy bands
journal, November 1963

Note on an Approximation Treatment for Many-Electron Systems
journal, October 1934

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

The iterative calculation of a few of the lowest eigenvalues and corresponding eigenvectors of large real-symmetric matrices
journal, January 1975

Some Recent Advances in Density Matrix Theory
journal, April 1960

Communication: Active-space decomposition for molecular dimers
journal, July 2013

Communication: Active space decomposition with multiple sites: Density matrix renormalization group algorithm
journal, December 2014

Quasi-diabatic States from Active Space Decomposition
journal, July 2014

Crossover of Spin Correlations in the One-Dimensional Hubbard Model
journal, November 1992

Quantisierung als Eigenwertproblem
journal, January 1926