skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Rotationally invariant slave-boson and density matrix embedding theory: Unified framework and comparative study on the one-dimensional and two-dimensional Hubbard model [Rotationally invariant slave-boson and density matrix embedding theory: A unified framework and a comparative study on the 1D and 2D Hubbard Model]

Abstract

We present detailed benchmark ground-state calculations of the one- and two-dimensional Hubbard model utilizing the cluster extensions of the rotationally invariant slave-boson mean-field theory and the density matrix embedding theory. Our analysis shows that the overall accuracy and the performance of these two methods are very similar. Furthermore, we propose a unified computational framework that allows us to implement both of these techniques on the same footing. In conclusion, this provides us with a different line of interpretation and paves the ways for developing systematically distinct generalizations of these complementary approaches.

Authors:
 [1];  [2];  [3];  [4];  [5]
  1. Rutgers Univ., Piscataway, NJ (United States)
  2. Rutgers Univ., Piscataway, NJ (United States); Atos Quantum Lab., Les Clayes-sous-Bois (France)
  3. Ames Lab. and Iowa State Univ., Ames, IA (United States)
  4. Aarhus Univ., Aarhus C (Denmark)
  5. Rutgers Univ., Piscataway, NJ (United States); Brookhaven National Lab. (BNL), Upton, NY (United States)
Publication Date:
Research Org.:
Ames Lab., Ames, IA (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1506107
Alternate Identifier(s):
OSTI ID: 1546201
Report Number(s):
IS-J-9924
Journal ID: ISSN 2469-9950; PRBMDO
Grant/Contract Number:  
AC02-07CH11358; FG02-99ER45761
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 99; Journal Issue: 11; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY

Citation Formats

Lee, Tsung -Han, Ayral, Thomas, Yao, Yong -Xin, Lanata, Nicola, and Kotliar, Gabriel. Rotationally invariant slave-boson and density matrix embedding theory: Unified framework and comparative study on the one-dimensional and two-dimensional Hubbard model [Rotationally invariant slave-boson and density matrix embedding theory: A unified framework and a comparative study on the 1D and 2D Hubbard Model]. United States: N. p., 2019. Web. doi:10.1103/PhysRevB.99.115129.
Lee, Tsung -Han, Ayral, Thomas, Yao, Yong -Xin, Lanata, Nicola, & Kotliar, Gabriel. Rotationally invariant slave-boson and density matrix embedding theory: Unified framework and comparative study on the one-dimensional and two-dimensional Hubbard model [Rotationally invariant slave-boson and density matrix embedding theory: A unified framework and a comparative study on the 1D and 2D Hubbard Model]. United States. https://doi.org/10.1103/PhysRevB.99.115129
Lee, Tsung -Han, Ayral, Thomas, Yao, Yong -Xin, Lanata, Nicola, and Kotliar, Gabriel. Fri . "Rotationally invariant slave-boson and density matrix embedding theory: Unified framework and comparative study on the one-dimensional and two-dimensional Hubbard model [Rotationally invariant slave-boson and density matrix embedding theory: A unified framework and a comparative study on the 1D and 2D Hubbard Model]". United States. https://doi.org/10.1103/PhysRevB.99.115129. https://www.osti.gov/servlets/purl/1506107.
@article{osti_1506107,
title = {Rotationally invariant slave-boson and density matrix embedding theory: Unified framework and comparative study on the one-dimensional and two-dimensional Hubbard model [Rotationally invariant slave-boson and density matrix embedding theory: A unified framework and a comparative study on the 1D and 2D Hubbard Model]},
author = {Lee, Tsung -Han and Ayral, Thomas and Yao, Yong -Xin and Lanata, Nicola and Kotliar, Gabriel},
abstractNote = {We present detailed benchmark ground-state calculations of the one- and two-dimensional Hubbard model utilizing the cluster extensions of the rotationally invariant slave-boson mean-field theory and the density matrix embedding theory. Our analysis shows that the overall accuracy and the performance of these two methods are very similar. Furthermore, we propose a unified computational framework that allows us to implement both of these techniques on the same footing. In conclusion, this provides us with a different line of interpretation and paves the ways for developing systematically distinct generalizations of these complementary approaches.},
doi = {10.1103/PhysRevB.99.115129},
url = {https://www.osti.gov/biblio/1506107}, journal = {Physical Review B},
issn = {2469-9950},
number = 11,
volume = 99,
place = {United States},
year = {2019},
month = {3}
}

Journal Article:

Citation Metrics:
Cited by: 3 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

Convergence acceleration of iterative sequences. the case of scf iteration
journal, July 1980


Dynamical cluster approximation: Nonlocal dynamics of correlated electron systems
journal, May 2000


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


Finite-temperature Gutzwiller approximation and the phase diagram of a toy model for V 2 O 3
journal, May 2013


Density Matrix Embedding: A Strong-Coupling Quantum Embedding Theory
journal, February 2013


Dynamical mean-field theory, density-matrix embedding theory, and rotationally invariant slave bosons: A unified perspective
journal, December 2017


Ground-state phase diagram of the square lattice Hubbard model from density matrix embedding theory
journal, January 2016


Finite-temperature Gutzwiller projection for strongly correlated electron systems
journal, September 2010


Time-Dependent Mean Field Theory for Quench Dynamics in Correlated Electron Systems
journal, August 2010


A real-time extension of density matrix embedding theory for non-equilibrium electron dynamics
journal, February 2018


Pseudogap opening and formation of Fermi arcs as an orbital-selective Mott transition in momentum space
journal, August 2009


Quantum cluster theories
journal, October 2005


Density Matrix Embedding: A Simple Alternative to Dynamical Mean-Field Theory
journal, November 2012


Application of Gutzwiller's Variational Method to the Metal-Insulator Transition
journal, November 1970


Cellular Dynamical Mean Field Approach to Strongly Correlated Systems
journal, October 2001


Gutzwiller description of non-magnetic Mott insulators: Dimer lattice model
journal, October 2007


Diagrammatic routes to nonlocal correlations beyond dynamical mean field theory
journal, May 2018


Large-amplitude spin oscillations triggered by nonequilibrium strongly correlated t 2 g electrons
journal, February 2015


Finite-temperature Gutzwiller approximation from the time-dependent variational principle
journal, August 2015


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


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


Nonequilibrium superconductivity in driven alkali-doped fullerides
journal, August 2017


Emergent Bloch excitations in Mott matter
journal, November 2017


Correlated Lattice Fermions in d = Dimensions
journal, January 1989


Unified Slave Boson Representation of Spin and Charge Degrees of Freedom for Strongly Correlated Fermi Systems
journal, March 1992


Density matrix embedding theory for interacting electron-phonon systems
journal, August 2016


Cluster Dynamical Mean Field Theory of the Mott Transition
journal, October 2008


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


Equivalence of Gutzwiller and slave-boson mean-field theories for multiband Hubbard models
journal, November 2007


Nonlocal dynamical correlations of strongly interacting electron systems
journal, September 1998


Fermi-surface evolution across the magnetic phase transition in the Kondo lattice model
journal, October 2008


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


Rigorous wave function embedding with dynamical fluctuations
journal, December 2018


Rotationally invariant slave bosons for strongly correlated superconductors
journal, September 2009


Stripe order in the underdoped region of the two-dimensional Hubbard model
journal, November 2017


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


Valence bond dynamical mean-field theory of doped Mott insulators with nodal/antinodal differentiation
journal, March 2009


Slave Boson Theory of Orbital Differentiation with Crystal Field Effects: Application to UO 2
journal, March 2017


A Practical Guide to Density Matrix Embedding Theory in Quantum Chemistry
journal, May 2016


Theoretical prediction of a strongly correlated Dirac metal
journal, July 2014


Antiferromagnetism and d -wave superconductivity in cuprates: A cluster dynamical mean-field theory
journal, October 2000


Correlated Lattice Fermions in d = Dimensions
journal, February 1989


    Works referencing / citing this record:

    Projected site-occupation embedding theory
    journal, July 2019


    Site-occupation Green's function embedding theory: A density functional approach to dynamical impurity solvers
    journal, November 2019