Low-temperature properties of classical zigzag spin chain at the ferromagnet-helimagnet transition point

Abstract

Low-temperature thermodynamics of the classical frustrated ferromagnetic spin chain near the ferromagnet-helimagnet transition point is studied by means of mapping to the continuum limit. The calculation of the partition function and spin correlation function is reduced to quantum problem of a particle in potential well. It is shown that exactly at the transition point the correlation length behaves as $T^{-1/3}$ and the magnetic susceptibility diverges as $T^{-4/3}$ in the low-temperature limit. Corresponding numerical factors for the correlation length and the susceptibility is calculated. It is shown that the low-temperature susceptibility in the helical phase near the transition point has a maximum at some temperature. Such behavior as well as the location and the magnitude of the maximum as a function of deviation from the transition point are in agreement with that observed in several materials described by the quantum $s=1/2$ version of this model.

14 pages, 4 figures

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Cited by in corpus (8)

• The J1-J2 Heisenberg model at and close to its z=4 quantum critical point
• Thermodynamics of the one-dimensional frustrated Heisenberg ferromagnet with arbitrary spin
• Thermodynamics of delta-chain with ferro- and antiferromagnetic interactions
• Thermodynamics of the frustrated $J_1$-$J_2$ Heisenberg ferromagnet on the body-centered cubic lattice with arbitrary spin
• Thermodynamics of frustrated ferromagnetic spin-$1/2$ Heisenberg chains: The role of inter-chain coupling
• Universal low-temperature properties of frustrated classical spin chain near the ferromagnet-helimagnet transition point
• Universal low-temperature magnetic properties of the classical and quantum dimerized ferromagnetic spin chain
• Low-temperature thermodynamics of the classical frustrated ferromagnetic chain in magnetic field