TY - JOUR
T1 - Ground-State Long-Range Order in the Two-Dimensional XXZ Model
AU - Nishimori, Hidetoshi
AU - Ozeki, Yukiyasu
N1 - Copyright:
Copyright 2016 Elsevier B.V., All rights reserved.
PY - 1989
Y1 - 1989
N2 - 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.
AB - 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.
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U2 - 10.1143/JPSJ.58.1027
DO - 10.1143/JPSJ.58.1027
M3 - Article
AN - SCOPUS:0000405824
VL - 58
SP - 1027
EP - 1030
JO - Journal of the Physical Society of Japan
JF - Journal of the Physical Society of Japan
SN - 0031-9015
IS - 3
ER -