arrow
Return

Interleaved numerical renormalization group as an efficient multiband impurity solver

delete2016-06-01
delete35
delete
OA
AI
K
K. M. Stadler
A
Andrew K. Mitchell
J
Jan von Delft *
A
Andreas Weichselbaum
DOI:10.1103/PhysRevB.93.235101delete
deleteOriginal
deleteShare
deleteSave
View PDF
Abstract

Abstract

En 中文
Quantum impurity problems can be solved using the numerical renormalization group (NRG), which involves discretizing the free conduction electron system and mapping to a Wilson chain. It was shown recently that Wilson chains for different electronic species can be interleaved by use of a modified discretization, dramatically increasing the numerical efficiency of the RG scheme [Phys. Rev. B 89, 121105(R) (2014)]. Here we systematically examine the accuracy and efficiency of the interleaved NRG (iNRG) method in the context of the single impurity Anderson model, the two-channel Kondo model, and a three-channel Anderson-Hund model. The performance of iNRG is explicitly compared with standard NRG (sNRG): when the average number of states kept per iteration is the same in both calculations, the accuracy of iNRG is equivalent to that of sNRG but the computational costs are significantly lower in iNRG when the same symmetries are exploited. Although iNRG weakly breaks SU(N) channel symmetry (if present), both accuracy and numerical cost are entirely competitive with sNRG exploiting full symmetries. iNRG is therefore shown to be a viable and technically simple alternative to sNRG for high-symmetry models. Moreover, iNRG can be used to solve a range of lower-symmetry multiband problems that are inaccessible to sNRG.
Keywords:
FIELD-THEORY
AI Summary

AI Summary

Key information extracted from the uploaded paper, including a brief overview, abstract, background, key highlights, visual analysis, and future outlook.

Journal

Physical Review B cover
Physical Review B
IF:
3.7
Papers:
15.4W
Citations:
41.0W

Organization

U
Utrecht University
Scholars:
6.0W
Papers: 5.1W
Citations: 5.8W
U
University of Munich
Scholars:
5.7W
Papers: 4.2W
Citations: 68
Cited Papers

Cited Papers

An Image-based Deep Spectrum Feature Representation for the Recognition of Emotional Speech
err2017-10-19
err0
errOAAI
errNicholas Cummins; Shahin Amiriparian; Gerhard Hagerer; Anton Batliner; Stefan Steidl; Björn W. Schuller
errShare
errSave
Quantum phase transition in a two-channel-Kondo quantum dot device
err2004-03-15
err82
errOAAI
errPustilnik, M; Borda, L; Glazman, LI; von Delft, J
errShare
errSave
Naphthoxazole‐Based Singlet Oxygen Fluorescent Probes
err2013-07-08
err0
PREAI
errRubén Ruiz‐González; Renzo Zanocco; Yasser Gidi; Antonio L. Zanocco; Santi Nonell; Else Lemp
errShare
errSave
Enteric nitrous oxide emissions from beef cattle
err2018-12-01
err0
errOAAI
errDavid B. Parker; Beverly Meyer; Tracy Jennings; Jenny Jennings; Holland Dougherty; N. Andy Cole; Ken Casey
errShare
errSave
Conductance fingerprint of Majorana fermions in the topological Kondo effect
err2014-01-31
err49
errOAAI
errGalpin, Martin R.; Mitchell, Andrew K.; Temaismithi, Jesada; Logan, David E.; Beri, Benjamin; Cooper, Nigel R.
errShare
errSave
errShare
errSave
Varying Cautionary Instructions, Monetary Incentives, and Comorbid Diagnostic Training in Malingered Psychopathology Research
err2007-06-01
err0
PREAI
errJon D. Elhai; Jimmie J. Butcher; Andrea N. Reeves; Shannon N. Baugher; Matt J. Gray; Gerard A. Jacobs; Adrienne E. Fricker-Elhai; Terry C. North; Paul Arbisi
errShare
errSave
researcher View more