Ground-State Long-Range Order in the Two-Dimensional XXZ Model

Hidetoshi Nishimori, Yukiyasu Ozeki

Research output: Contribution to journalArticlepeer-review

33 Citations (Scopus)


We prove the existence of Néel-type long-range order in the ground state of the spin-1/2 XXZ model with ´(exchange anisotropy) > 1.67 on the square lattice. We further show the existence of long-range order for ´>1.10 and 0≰´<0.59 by assuming monotonicity of nearest neighbor correlations as functions of the system size. The assumption of monotonicity is supported by numerical calculations.

Original languageEnglish
Pages (from-to)1027-1030
Number of pages4
Journaljournal of the physical society of japan
Issue number3
Publication statusPublished - 1989

ASJC Scopus subject areas

  • Physics and Astronomy(all)


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