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

Дмитриев, Д. В.; Krivnov, V. Ya.

doi:10.1103/physrevb.82.054407

Cited by 13 publications

(19 citation statements)

References 30 publications

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“…For T ≫ T c the helical correlations are destroyed, the maximum of S(k) is situated at k m = 0 and in the limit t → ∞ it tends to the results obtained in Ref. [14]: S(0) = 3.21/T 1/3 and l c = 1.04/T 1/3 .…”

Section: Correlation Functionsupporting

confidence: 79%

“…( 2) and ( 5) and the model effectively reduces to that at the transition point studied in Ref. [14]. Here the uniform susceptibility and the correlation length are χ(0) = 1.07/T 4/3 and l c = 1.04/T 1/3 .…”

Section: Discussionmentioning

confidence: 90%

“…It is considered in detail for the case α = 1/4 (b = 0) in Ref. [14], where the problem of the calculation of the correlation functions reduces to solution of the additional differential equations together with Eq. ( 15).…”

Section: Correlation Functionmentioning

confidence: 99%

“…In Ref. [14] we studied classical model (1) at α = 1/4, i.e. exactly at the ferromagnet-helimagnet transition point.…”

Section: Introductionmentioning

confidence: 99%

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

Дмитриев

Krivnov

2011

Eur. Phys. J. B

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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. * Electronic address: dmitriev@deom.chph.ras.ru

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Section: Correlation Functionsupporting

confidence: 79%

Section: Discussionmentioning

confidence: 90%

Section: Correlation Functionmentioning

confidence: 99%

“…In Ref. [14] we studied classical model (1) at α = 1/4, i.e. exactly at the ferromagnet-helimagnet transition point.…”

Section: Introductionmentioning

confidence: 99%

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

Дмитриев

Krivnov

2011

Eur. Phys. J. B

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“…where l is an angular momentum operator. Hamiltonian (18) describes the quantum rotator in the field γn z and coincides with the Hamiltonian for the uniform model [14] with g replaced by γ.…”

Section: Classical Dimerized Spin Chain In the Scaling Limitmentioning

confidence: 98%

Universal low-temperature magnetic properties of the classical and quantum dimerized ferromagnetic spin chain

Дмитриев

Krivnov

2012

Phys. Rev. B

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Low-temperature magnetic properties of both classical and quantum dimerized ferromagnetic spin chains are studied. It is shown that at low temperatures the classical dimerized model reduces to the classical uniform model with the effective exchange integral J 0 = J (1 − δ 2 ), where δ is the dimerization parameter. The partition function and spin correlation function are calculated by means of mapping to the continuum limit, which is justified at low temperatures. The quantum model is studied using the Dyson-Maleev representation of the spin operators. It is shown that in the long-wavelength limit the Hamiltonian of the quantum dimerized chain reduces to that of the uniform ferromagnetic chain with the effective exchange integral J 0 = J (1 − δ 2 ). This fact implies that the known equivalence of the low-temperature magnetic properties of classical and quantum ferromagnetic chains remains for the dimerized chains. The considered model is generalized to include the next-neighbor antiferromagnetic interaction.

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Thermodynamics of the one-dimensional frustrated Heisenberg ferromagnet with arbitrary spin

et al. 2011

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The thermodynamic quantities (spin-spin correlation functions S0Sn , correlation length ξ, spin susceptibility χ, and specific heat CV ) of the frustrated one-dimensional J1-J2 Heisenberg ferromagnet with arbitrary spin quantum number S below the quantum critical point, i.e. for J2 < |J1|/4, are calculated using a rotation-invariant Green-function formalism and full diagonalization as well as a finite-temperature Lanczos technique for finite chains of up to N = 18 sites. The low-temperature behavior of the susceptibility χ and the correlation length ξ is well described by χ = 2 3 S 4 (|J1| − 4J2) T −2 + AS 5/2 (|J1| − 4J2) 1/2 T −3/2 and ξ = S 2 (|J1| − 4J2) T −1 + BS 1/2 (|J1| − 4J2) 1/2 T −1/2 with A ≈ 1.1 . . . 1.2 and B ≈ 0.84 . . . 0.89. The vanishing of the factors in front of the temperature at J2 = |J1|/4 indicates a change of the critical behavior of χ and ξ at T → 0. The specific heat may exhibit an additional frustration-induced low-temperature maximum when approaching the quantum critical point. This maximum appears for S = 1/2 and S = 1, but was not found for S > 1. PACS numbers:I.

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

Cited by 13 publications

References 30 publications

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

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

Thermodynamics of the one-dimensional frustrated Heisenberg ferromagnet with arbitrary spin

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