Skip to content

Commit

Permalink
[paper] add references
Browse files Browse the repository at this point in the history
  • Loading branch information
nkavokine committed Nov 29, 2024
1 parent 1b96d17 commit c12f645
Show file tree
Hide file tree
Showing 2 changed files with 112 additions and 5 deletions.
110 changes: 109 additions & 1 deletion paper/paper.bib
Original file line number Diff line number Diff line change
Expand Up @@ -147,4 +147,112 @@ @article{kavokine2024
pages = {016501},
publisher = {American Physical Society},
doi = {10.1103/PhysRevLett.133.016501}
}
}

@article{werner2006a,
title = {Continuous-Time Solver for Quantum Impurity Models},
author = {Werner, Philipp and Comanac, Armin and de' Medici, Luca and Troyer, Matthias and Millis, Andrew J.},
journal = {Phys. Rev. Lett.},
volume = {97},
issue = {7},
pages = {076405},
numpages = {4},
year = {2006},
month = {Aug},
publisher = {American Physical Society},
doi = {10.1103/PhysRevLett.97.076405},
url = {https://link.aps.org/doi/10.1103/PhysRevLett.97.076405}
}

@article{werner2006b,
title = {Hybridization expansion impurity solver: General formulation and application to Kondo lattice and two-orbital models},
author = {Werner, Philipp and Millis, Andrew J.},
journal = {Phys. Rev. B},
volume = {74},
issue = {15},
pages = {155107},
numpages = {13},
year = {2006},
month = {Oct},
publisher = {American Physical Society},
doi = {10.1103/PhysRevB.74.155107},
url = {https://link.aps.org/doi/10.1103/PhysRevB.74.155107}
}

@article{haule2007,
title = {Quantum Monte Carlo impurity solver for cluster dynamical mean-field theory and electronic structure calculations with adjustable cluster base},
author = {Haule, Kristjan},
journal = {Phys. Rev. B},
volume = {75},
issue = {15},
pages = {155113},
numpages = {12},
year = {2007},
month = {Apr},
publisher = {American Physical Society},
doi = {10.1103/PhysRevB.75.155113},
url = {https://link.aps.org/doi/10.1103/PhysRevB.75.155113}
}

@article{werner2007,
title = {Efficient Dynamical Mean Field Simulation of the Holstein-Hubbard Model},
author = {Werner, Philipp and Millis, Andrew J.},
journal = {Phys. Rev. Lett.},
volume = {99},
issue = {14},
pages = {146404},
numpages = {4},
year = {2007},
month = {Oct},
publisher = {American Physical Society},
doi = {10.1103/PhysRevLett.99.146404},
url = {https://link.aps.org/doi/10.1103/PhysRevLett.99.146404}
}

@article{werner2010,
title = {Dynamical Screening in Correlated Electron Materials},
author = {Werner, Philipp and Millis, Andrew J.},
journal = {Phys. Rev. Lett.},
volume = {104},
issue = {14},
pages = {146401},
numpages = {4},
year = {2010},
month = {Apr},
publisher = {American Physical Society},
doi = {10.1103/PhysRevLett.104.146401},
url = {https://link.aps.org/doi/10.1103/PhysRevLett.104.146401}
}

@article{steiner2015,
title = {Double-expansion impurity solver for multiorbital models with dynamically screened $U$ and $J$},
author = {Steiner, Karim and Nomura, Yusuke and Werner, Philipp},
journal = {Phys. Rev. B},
volume = {92},
issue = {11},
pages = {115123},
numpages = {15},
year = {2015},
month = {Sep},
publisher = {American Physical Society},
doi = {10.1103/PhysRevB.92.115123},
url = {https://link.aps.org/doi/10.1103/PhysRevB.92.115123}
}

@article{werner2016,
title = {Dynamical screening in correlated electron systems - from lattice models to realistic materials},
volume = {28},
issn = {0953-8984, 1361-648X},
url = {https://iopscience.iop.org/article/10.1088/0953-8984/28/38/383001},
doi = {10.1088/0953-8984/28/38/383001},
abstract = {Recent progress in treating the dynamical nature of the screened Coulomb interaction in strongly correlated lattice models and materials is reviewed with a focus on computational schemes based on the dynamical mean field approximation. We discuss approximate and exact methods for the solution of impurity models with retarded interactions, and explain how these models appear as auxiliary problems in various extensions of the dynamical mean field formalism. The current state of the field is illustrated with results from recent applications of these schemes to U-V Hubbard models and correlated materials.},
language = {en},
number = {38},
urldate = {2024-11-29},
journal = {J. Phys.: Condens. Matter},
author = {Werner, Philipp and Casula, Michele},
month = sep,
year = {2016},
pages = {383001},
file = {PDF:/Users/kavokine/Zotero/storage/5WH38DL7/Werner and Casula - 2016 - Dynamical screening in correlated electron systems—from lattice models to realistic materials.pdf:application/pdf},
}
7 changes: 3 additions & 4 deletions paper/paper.md
Original file line number Diff line number Diff line change
Expand Up @@ -61,10 +61,9 @@ around an exactly solvable limit. Continuous time hybridization expansion algori
Currently, there exist implementations of `CTHYB` within three different libraries: `ALPS` [@ALPS2018], `w2dynamics` [@w2dynamics2019] and `TRIQS` [@CTHYB2016].

However, a simpler and potentially faster version of the `CTHYB` algorithm,
called `CTSEG`, can be used under the restriction of (possibly time-dependent) density-density
interactions on the impurity. `CTSEG` can be further generalized to allow for time-dependent
spin-spin interactions [@otsuki2013]. To our knowledge, there exists so far one published implementation of `CTSEG` based on ALPS [@ALPS-CTSEG], but it does not allow for spin-spin
interactions.
called `CTSEG`, can be used under the restriction of density-density
interactions on the impurity[@werner2006a,@werner2006b,@haule2007]. `CTSEG` can be further generalized to allow for time-dependent[@werner2007,@werner2010] and
spin-spin interactions [@otsuki2013,@steiner2015]: see [@werner2016] for a review. To our knowledge, there exists so far one published implementation of `CTSEG` based on ALPS [@ALPS-CTSEG], but it does not allow for spin-spin interactions.

Our `CTSEG` solver is about twice as fast as `TRIQS-CTHYB` for a single orbital problem, and has
better scaling with the number of orbitals (40 times faster in our 5 orbital test case, see Fig. 1a).
Expand Down

0 comments on commit c12f645

Please sign in to comment.