Time- and frequency-dependent correlation functions for the homogeneous and alternating-isotropic XY-models

✍ Scribed by J.H.H. Perk; H.W. Capel

• Publisher: Elsevier Science
• Year: 1980
• Tongue: English
• Weight: 692 KB
• Volume: 100
• Category: Article
• ISSN: 0378-4371
• DOI: 10.1016/0378-4371(80)90147-8

✦ Synopsis

Explicit expressions are derived for the time correlations between x-and y-components of spins and their frequency-Fourier transforms in the one-dimensional XY-model in the hightemperature limit (/3 = 0). The results can be expressed as a linear combination of at most three Gaussians multiplied with (quasi) periodic Jacobian theta functions.
X "~ = 14(JY/J\)l/2(sin 0 cos 4' + i cos O)(O(t)), X yy = 14(JX/JY)Z/2(sin 0 cos 4, -i cos O)(O(t)), X xy = -X y\ = ~sin 0 sin d,(O(t)), t t I =exp{fdt, f dh2JXJYcos20(t2,}.