Asymptotic Freedom and Large Spin Antiferromagnetic Chains

Building on the mapping of large-S spin chains onto the O(3) nonlinear sigma model with coupling constant 2/S, and on general properties of that model (asymptotic freedom, implying that perturbation theory is valid at high energy, and Elitzur's conjecture that rotationally invariant quantities are infrared finite in perturbation theory), we use the Holstein-Primakoff representation to derive analytic expressions for the equal-time and dynamical spin-spin correlations valid at distances smaller than S-1 exp(pi S) or at energies larger than JS(2) exp(-pi S), where J is the Heisenberg exchange coupling. This is supported by comparing the static correlations with quantum Monte Carlo simulations for S = 5/2.


Published in:
Physical Review Letters, 123, 3, 037202
Year:
Jul 18 2019
Publisher:
College Pk, AMER PHYSICAL SOC
ISSN:
0031-9007
1079-7114
Keywords:
Laboratories:




 Record created 2019-08-08, last modified 2020-04-20


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