Universal low-temperature properties of frustrated classical spin chain near the ferromagnet-helimagnet transition point

Abstract

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.

11 pages, 7 figures

References in corpus (7)

• Vector chiral and multipolar orders in the spin-1/2 frustrated ferromagnetic chain in magnetic field
• Emergent multipolar spin correlations in a fluctuating spiral - The frustrated ferromagnetic S=1/2 Heisenberg chain in a magnetic field
• Frustrated ferromagnetic spin-1/2 chain in a magnetic field: The phase diagram and thermodynamic properties
• Zigzag spin chains with antiferromagnetic-ferromagnetic interactions: Transfer-matrix renormalization group study
• Temperature dependent optical conductivity of undoped cuprates with weak exchange
• Zigzag spin-S chain near ferromagnet-antiferromagnet transition point
• Low-temperature properties of classical zigzag spin chain at the ferromagnet-helimagnet transition point

Cited by in corpus (5)

• The J1-J2 Heisenberg model at and close to its z=4 quantum critical point
• 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
• Chirality transitions in frustrated ferromagnetic spin chains: a link with the gradient theory of phase transitions
• Low-temperature thermodynamics of the classical frustrated ferromagnetic chain in magnetic field