Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2010-08-30
Eur. Phys. J. B 82, 123 (2011)
Physics
Condensed Matter
Statistical Mechanics
11 pages, 7 figures
Scientific paper
The thermodynamics of the classical frustrated spin chain near the transition point between the ferromagnetic and the helical phases is studied. The calculation of the partition and spin correlation functions at low temperature limit is reduced to the quantum mechanical problem of a particle in potential well. It is shown that the thermodynamic quantities are universal functions of the temperature normalized by the chiral domain wall energy. The obtained behavior of the static structure factor indicates that the short-range helical-type correlations existing at low temperatures on the helical side of the transition point disappear at some critical temperature, defining the Lifshitz point. It is also shown that the low-temperature susceptibility in the helical phase near the transition point has a maximum at some temperature. Such behavior is in agreement with that observed in several materials described by the quantum $s=1/2$ version of this model.
Dmitriev D. V.
Krivnov Ya. V.
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