Application of numerical quantum transfer-matrix approach in the randomly diluted quantum spin chains

Ryszard Matysiak, Philipp Gegenwart, Akira Ochiai, Frank Steglich

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The description of the numerical method of simulation based on the quantum transfer-matrix (QTM) approach is presented for diluted spin S= 1/2 chains. Modification of the extrapolation technique has been used to obtain better accuracy of numerical results. The simulations have been performed using the S= 1/2 antiferromagnetic Heisenberg model with the transverse staggered field and a uniform magnetic field perpendicular to the staggered field applicable for the diluted compound (Yb 1-x Lu x) 4 As 3. In the model calculations the fixed microscopic parameters established earlier for the pure system have been assumed and the random impurity distribution has been considered. The experimental field-dependent specific heat of the polydomain diluted (Yb 1-x Lu x) 4 As 3 sample is compared with that calculated using the HPC resources and providing additional verification of both the QTM method and the physical model.

Original languageEnglish
Title of host publicationParallel Processing and Applied Mathematics - 12th International Conference, PPAM 2017, Revised Selected Papers
EditorsEwa Deelman, Roman Wyrzykowski, Konrad Karczewski, Jack Dongarra
PublisherSpringer Verlag
Pages359-367
Number of pages9
ISBN (Print)9783319780535
DOIs
Publication statusPublished - 2018 Jan 1
Event12th International Conference on Parallel Processing and Applied Mathematics, PPAM 2017 - Czestochowa, Poland
Duration: 2017 Sep 102017 Sep 13

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume10778 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Other

Other12th International Conference on Parallel Processing and Applied Mathematics, PPAM 2017
CountryPoland
CityCzestochowa
Period17/9/1017/9/13

Keywords

  • One-dimensional spin chains
  • Quantum transfer-matrix method
  • Segmented heisenberg antiferromagnet

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computer Science(all)

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