Quantum corrections to the spin-correlation function and the spin-stiffness constant in a two-dimensional Heisenberg antiferromagnet at zero temperature

1991 ◽  
Vol 44 (10) ◽  
pp. 5057-5063 ◽  
Author(s):  
Jun-ichi Igarashi ◽  
Akihiro Watabe
Keyword(s):  
Correlation Function ◽  
Spin Correlation ◽  
Quantum Corrections ◽  
Two Dimensional ◽  
Heisenberg Antiferromagnet ◽  
Zero Temperature ◽  
Spin Correlation Function ◽  
Stiffness Constant

Calculating the conformal charge from the second moment of the spin–spin correlation function

1993 ◽  
Vol 442 (1915) ◽  
pp. 485-488 ◽  
Keyword(s):  
Correlation Function ◽  
Ising Model ◽  
High Field ◽  
Central Charge ◽  
Spin Correlation ◽  
Two Dimensional ◽  
Extrapolation Methods ◽  
Amplitude Ratios ◽  
Spin Correlation Function ◽  
Second Moment

We develop high field expansions for the second moment of the spin–spin correlation function of the two-dimensional Ising model at arbitrary temperature T . Setting T = T c and approaching the critical point along the field direction, this quantity has a 1/ h 2 , divergence as the external field h goes to zero. The amplitude for this divergence is estimated by series extrapolation methods, and is shown to lead to an estimate for the central charge of 0.50 by using Cardy’s formula for the central charge in terms of hyperuniversal amplitude ratios.

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