Spin-wave theory at constant order parameter

Abstract

We derive the low-temperature properties of spin-S quantum Heisenberg magnets from the Gibbs free energy G(M) for fixed order parameter M. Assuming that the low-lying elementary excitations of the system are renormalized spin waves, we show that a straightforward 1/S expansion of G(M) yields qualitatively correct results for the low-temperature thermodynamics, even in the absence of long-range magnetic order. We explicitly calculate the two-loop correction to the susceptibility of the ferromagnetic Heisenberg chain and show that it quantitatively modifies the mean-field result.

7 pages, 3 figures; published version

References in corpus (4)

• Schwinger-boson approach to quantum spin systems: Gaussian fluctuactions in the "natural" gauge
• Spin-Wave Description of Nuclear Spin-Lattice Relaxation in Mn_{12}O_{12} Acetate
• Modified spin-wave study of random antiferromagnetic-ferromagnetic spin chains
• Finite size and temperature effects in the $J_1-J_2$ model on a strip

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