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@Article{Tang2013,
  author    = {Baoming Tang and Ehsan Khatami and Marcos Rigol},
  journal   = {Computer Physics Communications},
  title     = {A short introduction to numerical linked-cluster expansions},
  year      = {2013},
  month     = {mar},
  number    = {3},
  pages     = {557--564},
  volume    = {184},
  doi       = {10.1016/j.cpc.2012.10.008},
  publisher = {Elsevier {BV}},
}

@Article{Hirsch2003,
  author    = {J. E. Hirsch},
  journal   = {Physical Review B},
  title     = {Electronic dynamic {Hubbard} model: Exact diagonalization study},
  year      = {2003},
  month     = {jan},
  number    = {3},
  volume    = {67},
  doi       = {10.1103/physrevb.67.035103},
  publisher = {American Physical Society ({APS})},
}

@Article{Nakano2007,
  author    = {Hiroki Nakano and Yoshinori Takahashi and Masatoshi Imada},
  journal   = {Journal of the Physical Society of Japan},
  title     = {Drude Weight of the Two-Dimensional {Hubbard} Model {\textendash}Reexamination of Finite-Size Effect in Exact Diagonalization Study{\textendash}},
  year      = {2007},
  month     = {mar},
  number    = {3},
  pages     = {034705},
  volume    = {76},
  doi       = {10.1143/jpsj.76.034705},
  publisher = {Physical Society of Japan},
}

@Article{Koretsune2007,
  author    = {Takashi Koretsune and Yukitoshi Motome and Akira Furusaki},
  journal   = {Journal of the Physical Society of Japan},
  title     = {Exact Diagonalization Study of {Mott} Transition in the {Hubbard} Model on an Anisotropic Triangular Lattice},
  year      = {2007},
  month     = {jul},
  number    = {7},
  pages     = {074719},
  volume    = {76},
  doi       = {10.1143/jpsj.76.074719},
  publisher = {Physical Society of Japan},
}

@Article{Kokalj2017,
  author    = {Jure Kokalj},
  journal   = {Physical Review B},
  title     = {Bad-metallic behavior of doped {Mott} insulators},
  year      = {2017},
  month     = {jan},
  number    = {4},
  volume    = {95},
  doi       = {10.1103/physrevb.95.041110},
  publisher = {American Physical Society ({APS})},
}

@InCollection{Weise,
  author    = {Alexander Wei{\ss}e and Holger Fehske},
  booktitle = {Computational Many-Particle Physics},
  publisher = {Springer Berlin Heidelberg},
  title     = {Exact Diagonalization Techniques},
  pages     = {529--544},
  doi       = {10.1007/978-3-540-74686-7_18},
}

@Article{Hamer2000,
  author    = {C J Hamer},
  journal   = {Journal of Physics A: Mathematical and General},
  title     = {Finite-size scaling in the transverse {Ising} model on a square lattice},
  year      = {2000},
  month     = {sep},
  number    = {38},
  pages     = {6683--6698},
  volume    = {33},
  doi       = {10.1088/0305-4470/33/38/303},
  publisher = {{IOP} Publishing},
}

@Article{Hamer1999,
  author    = {C J Hamer and Tobias Hövelborn and Michael Bachhuber},
  journal   = {Journal of Physics A: Mathematical and General},
  title     = {Finite-size scaling in the spin- model on a square lattice},
  year      = {1999},
  month     = {jan},
  number    = {1},
  pages     = {51--59},
  volume    = {32},
  doi       = {10.1088/0305-4470/32/1/007},
  publisher = {{IOP} Publishing},
}

@Article{Burkhardt1985,
  author    = {T W Burkhardt and I Guim},
  journal   = {Journal of Physics A: Mathematical and General},
  title     = {Finite-size scaling of the quantum {Ising} chain with periodic, free, and antiperiodic boundary conditions},
  year      = {1985},
  month     = {jan},
  number    = {1},
  pages     = {L33--L38},
  volume    = {18},
  doi       = {10.1088/0305-4470/18/1/006},
  publisher = {{IOP} Publishing},
}

@Article{Wagner1991,
  author    = {J. Wagner and W. Hanke and D. J. Scalapino},
  journal   = {Physical Review B},
  title     = {Optical, magnetic, and single-particle excitations in the multiband {Hubbard} model for cuprate superconductors},
  year      = {1991},
  month     = {may},
  number    = {13},
  pages     = {10517--10529},
  volume    = {43},
  doi       = {10.1103/physrevb.43.10517},
  publisher = {American Physical Society ({APS})},
}

@Article{Dagotto1992,
  author    = {E. Dagotto and A. Moreo and F. Ortolani and D. Poilblanc and J. Riera},
  journal   = {Physical Review B},
  title     = {Static and dynamical properties of doped {Hubbard} clusters},
  year      = {1992},
  month     = {may},
  number    = {18},
  pages     = {10741--10760},
  volume    = {45},
  doi       = {10.1103/physrevb.45.10741},
  publisher = {American Physical Society ({APS})},
}

@Article{Becca2000,
  author    = {Federico Becca and Alberto Parola and Sandro Sorella},
  journal   = {Physical Review B},
  title     = {Ground-state properties of the {Hubbard} model by {Lanczos} diagonalizations},
  year      = {2000},
  month     = {jun},
  number    = {24},
  pages     = {R16287--R16290},
  volume    = {61},
  doi       = {10.1103/physrevb.61.r16287},
  publisher = {American Physical Society ({APS})},
}

@Article{Luescher2009,
  author    = {Andreas Lüscher and Andreas M. Läuchli},
  journal   = {Physical Review B},
  title     = {Exact diagonalization study of the antiferromagnetic spin-1/2 {Heisenberg} model on the square lattice in a magnetic field},
  year      = {2009},
  month     = {may},
  number    = {19},
  volume    = {79},
  doi       = {10.1103/physrevb.79.195102},
  publisher = {American Physical Society ({APS})},
}

@Article{Rigol2007,
  author    = {Marcos Rigol and Tyler Bryant and Rajiv R. P. Singh},
  journal   = {Physical Review E},
  title     = {Numerical linked-cluster algorithms. I. Spin systems on square, triangular, and kagom{\'{e}} lattices},
  year      = {2007},
  month     = {jun},
  number    = {6},
  volume    = {75},
  doi       = {10.1103/physreve.75.061118},
  publisher = {American Physical Society ({APS})},
}

@Article{Rigol2006,
  author    = {Marcos Rigol and Tyler Bryant and Rajiv R. P. Singh},
  journal   = {Physical Review Letters},
  title     = {Numerical Linked-Cluster Approach to Quantum Lattice Models},
  year      = {2006},
  month     = {nov},
  number    = {18},
  volume    = {97},
  doi       = {10.1103/physrevlett.97.187202},
  publisher = {American Physical Society ({APS})},
}

@Article{Pelissetto2018,
  author    = {Andrea Pelissetto and Davide Rossini and Ettore Vicari},
  journal   = {Physical Review E},
  title     = {Finite-size scaling at first-order quantum transitions when boundary conditions favor one of the two phases},
  year      = {2018},
  month     = {sep},
  number    = {3},
  volume    = {98},
  doi       = {10.1103/physreve.98.032124},
  publisher = {American Physical Society ({APS})},
}

@Article{Cracknell1969,
  author    = {A P Cracknell},
  journal   = {Reports on Progress in Physics},
  title     = {Group theory and magnetic phenomena in solids},
  year      = {1969},
  month     = {jul},
  number    = {2},
  pages     = {633--707},
  volume    = {32},
  doi       = {10.1088/0034-4885/32/2/305},
  publisher = {{IOP} Publishing},
}

@Article{Kingsley2013,
  author    = {Onaiwu N. Kingsley and Okanigbuan Robinson},
  journal   = {Research Journal of Applied Sciences, Engineering and Technology},
  title     = {Exact Diagonalization of the {Hubbard} Model: Ten-electrons on Ten-sites},
  year      = {2013},
  month     = {nov},
  number    = {21},
  pages     = {4098--4102},
  volume    = {6},
  doi       = {10.19026/rjaset.6.3517},
  publisher = {Maxwell Scientific Publication Corp.},
}

@Article{Lemus2015,
  author  = {R. Lemus and A.O.Hern{\'a}ndez-Castillo},
  journal = {Revista Mexicana de Fısica E},
  title   = {Symmetry projection, geometry and choice of the basis},
  year    = {2015},
  pages   = {113--128},
  volume  = {61},
}

@Book{Chen2002,
  author    = {J. Q. Chen and J. Ping and F. Wang},
  publisher = {World Scientific},
  title     = {Group representation theory for physicists},
  year      = {2002},
  address   = {River Edge, N.J},
  isbn      = {9812380655},
  url       = {http://hep.fcfm.buap.mx/ecursos/TTG/libros/Group Representation Theory for Physicists (Jin-Quan Chen).pdf},
}

@Article{Jung2020,
  author       = {Jung-Hoon Jung and Jae Dong Noh},
  title        = {Guide to Exact Diagonalization Study of Quantum Thermalization},
  year         = {2020},
  abstract     = {Exact diagonalization is a powerful numerical method to study isolated quantum many-body systems. This paper provides a review of numerical algorithms to diagonalize the Hamiltonian matrix. Symmetry and the conservation law help us perform the numerical study efficiently. We explain the method to block-diagonalize the Hamiltonian matrix by using particle number conservation, translational symmetry, particle-hole symmetry, and spatial reflection symmetry in the context of the spin-1/2 XXZ model or the hard-core boson model in a one-dimensional lattice. We also explain the method to study the unitary time evolution governed by the Schr\"odinger equation and to calculate thermodynamic quantities such as the entanglement entropy. As an application, we demonstrate numerical results that support that the eigenstate thermalization hypothesis holds in the XXZ model.},
  date         = {2020-04-27},
  doi          = {10.3938/jkps.76.670},
  eprint       = {2004.12757v2},
  eprintclass  = {cond-mat.stat-mech},
  eprinttype   = {arXiv},
  file         = {:http\://arxiv.org/pdf/2004.12757v2:PDF},
  journaltitle = {Journal of the Korean Physical Society, 76(8), 670-683 (2020)},
  keywords     = {cond-mat.stat-mech, quant-ph},
}

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