From 41dee7d5bf00e76f1be105e843f4851a5b581ce3 Mon Sep 17 00:00:00 2001 From: Yuichi Motoyama Date: Tue, 17 Sep 2024 09:47:36 +0900 Subject: [PATCH] added SpM paper --- doc/about.rst | 4 ++++ doc/analytic_continuation/spm.rst | 2 +- 2 files changed, 5 insertions(+), 1 deletion(-) diff --git a/doc/about.rst b/doc/about.rst index 41a75c71..846e7a2f 100644 --- a/doc/about.rst +++ b/doc/about.rst @@ -77,6 +77,10 @@ In addition to the above two libraries, you may use impurity solvers listed belo For some of them, they provide a BibTeX entry for each paper in the above cites. +When you use the SpM method for analytic continuation, please cite the following paper: + +* `Junya Otsuki, Masayuki Ohzeki, Hiroshi Shinaoka, and Kazuyoshi Yoshimi, Phys. Rev. E 95, 061302(R) (2017) `_ + GitHub repository ----------------- diff --git a/doc/analytic_continuation/spm.rst b/doc/analytic_continuation/spm.rst index 0691127c..0a2a4fe0 100644 --- a/doc/analytic_continuation/spm.rst +++ b/doc/analytic_continuation/spm.rst @@ -9,7 +9,7 @@ The sparse-modeling (SpM) method is a method for the analytic continuation of th where :math:`\Sigma(\tau)` is the self-energy in imaginary time and :math:`\Sigma(\omega)` is the self-energy in real frequency. -In the SpM method, the kernel matrix of the integral equation, :math:`e^{-\tau\omega}/(1+e^{-\beta\omega})` is decomposed by the singular value decomposition (SVD), +In `the SpM method `_, the kernel matrix of the integral equation, :math:`e^{-\tau\omega}/(1+e^{-\beta\omega})` is decomposed by the singular value decomposition (SVD), and the self-energies :math:`\Sigma(\tau)` and :math:`\Sigma(\omega)` are transformed by the left and right singular vectors, respectively. The SpM method is implemented in the ``dcore_anacont`` program.