From c12f64529eef5ecbfa63573026414c8cd4dd2539 Mon Sep 17 00:00:00 2001 From: nkavokine Date: Fri, 29 Nov 2024 05:54:08 -0500 Subject: [PATCH] [paper] add references --- paper/paper.bib | 110 +++++++++++++++++++++++++++++++++++++++++++++++- paper/paper.md | 7 ++- 2 files changed, 112 insertions(+), 5 deletions(-) diff --git a/paper/paper.bib b/paper/paper.bib index 3120194..a592c99 100644 --- a/paper/paper.bib +++ b/paper/paper.bib @@ -147,4 +147,112 @@ @article{kavokine2024 pages = {016501}, publisher = {American Physical Society}, doi = {10.1103/PhysRevLett.133.016501} -} \ No newline at end of file +} + +@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}, +} diff --git a/paper/paper.md b/paper/paper.md index e16b5ed..9f4002c 100644 --- a/paper/paper.md +++ b/paper/paper.md @@ -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).