Energy Scale Deformation on Regular Polyhedra

• Eguchi, Takuya

• Oga, Satoshi

• Katsura, Hosho

• Gendiar, Andrej

• Nishino, Tomotoshi

Abstract

A variant of energy scale deformation is considered for the S = 1/2 antiferromagnetic Heisenberg model on polyhedra. The deformation is induced by the perturbations to the uniform Hamiltonian, whose coefficients are determined by the bond coordinates. On the tetrahedral, octahedral, and cubic clusters, the perturbative terms do not affect the ground state of the uniform Hamiltonian when they are sufficiently small. On the other hand, for the icosahedral and dodecahedral clusters, it is numerically confirmed that the ground state of the uniform Hamiltonian is almost insensitive to the perturbations unless they lead to a discontinuous change in the ground state. The obtained results suggest the existence of a generalization of sine-square deformation in higher dimensions.

Journal

• Journal of the Physical Society of Japan

  Journal of the Physical Society of Japan 91 (3), 034001-, 2022-03-15

  The Physical Society of Japan

Keywords

• General Physics and Astronomy

Details

• CRID: 1050575520344943744
• NII Article ID: 210000159610
• NII Book ID: AA00704814
• DOI: 10.7566/jpsj.91.034001
• ISSN: 13474073
• ISSN: 00319015
• HANDLE: 20.500.14094/90009138
• NDL BIB ID: 032036009
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I032036009
• Web Site: https://journals.jps.jp/doi/pdf/10.7566/JPSJ.91.034001
• Text Lang: en
• Article Type: journal article
• Data Source:
  • IRDB
  • NDL
  • Crossref
  • CiNii Articles
  • KAKEN