Resolving the two-dimensional axial next-nearest-neighbor Ising model using transfer matrices

Journal Article (Journal Article)

Some features of the phase diagram of the two-dimensional axial next-nearest-neighbor Ising model have long been debated. The extended structural correlations and long relaxation times associated with its Kosterlitz-Thouless 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.

Full Text

Duke Authors

Cited Authors

  • Hu, Y; Charbonneau, P

Published Date

  • March 25, 2021

Published In

Volume / Issue

  • 103 / 9

Electronic International Standard Serial Number (EISSN)

  • 2469-9969

International Standard Serial Number (ISSN)

  • 2469-9950

Digital Object Identifier (DOI)

  • 10.1103/PhysRevB.103.094441

Citation Source

  • Scopus