Data and scripts from: Resolving the two-dimensional ANNNI model using transfer matrices

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  • Some features of the phase diagram of the two-dimensional ANNNI model have long been debated. The extended structural correlations and relaxation times associated with its Kosterlitz-Thouless (KT) phase indeed result in analytical and numerical treatments making contradictory predictions. Here, we introduce a numerical transfer matrix approach that bypasses these problems, and thus clears up various ambiguities. In particular, we confirm the transition temperatures and the order of the transition to the floating incommensurate phase. Our approach motivates considering transfer matrices for solving long-standing problems in related models.

Total Size
10 files (1.73 MB)
Data Citation
  • Charbonneau, P. & Hu, Y. (2021). Data and scripts from: Resolving the two-dimensional ANNNI model using transfer matrices. Duke Research Data Repository. https://doi.org/10.7924/r4k074j0t
DOI
  • 10.7924/r4k074j0t
Publication Date
ARK
  • ark:/87924/r4k074j0t
Affiliation
Type
Format
Related Materials
Funding Agency
  • National Science Foundation
Grant Number
  • DMR-1749374
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Title
  • Data and scripts from: Resolving the two-dimensional ANNNI model using transfer matrices