Planar spin chain with competing interactions in an external magnetic field

Carazza, B.; Rastelli, E.; Tassi, A.

doi:10.1007/bf01313552

Cited by 14 publications

(12 citation statements)

References 7 publications

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“…Similarly, for H→H c Ϫ, where H c is the critical field for the parafan transition, a fan phase with period Qу4 has a width proportional to ͉HϪH c ͉ (QϪ2)/4 if Q is an even number and ͉HϪH c ͉ (QϪ1)/2 if Q is an odd number. Exceptions to the above results are the spin-flop phase q 0 ϭ which our calculations indicate undergoes a firstorder transition both at low and high fields; the period Qϭ3 phase q 0 ϭ2/3 which has a zero pinning energy 6 and should presumably have a zero width of stability for arbitrary fields; and the period four ''double spin-flop phase'' q 0 ϭ/2 at low fields which we expect to undergo a firstorder transition.…”

Section: Summary and Discussioncontrasting

confidence: 86%

“…For the spin-flop phase Qϭ2 we have ␦ϭ0, which indicates that the instability of this phase is not caused by creation of defects and should undergo a first-order transition. Also the phase q 0 ϭ2/3 has a zero pinning energy 6 and we expect a zero width of stability.…”

Section: ͑320b͒mentioning

confidence: 76%

“…Taking into account the second harmonic contribution we find a nonzero pinning potential, in agreement with numerical study of these phases. 6 On the other hand, the vanishing of pinning potential ͑2.23͒ for the phase q 0 ϭ/3 is an exact result because in the expansion ͑2.20͒ no higher order harmonics are present in this case. It can be shown that this phase is exceptional, presenting a continuous degeneracy of the ground state for arbitrary fields 6 in a way analogous to the ground state of the triangular antiferromagnetic planar model in a field.…”

Section: ͑218͒mentioning

confidence: 94%

“…An exception is the case Qϭ3 which is known to have zero pinning energy for all fields. 6 We will next examine the stability of commensurate fan phases against the defect creation. These defects will be described by structures of the form n ϭAe i͑q 0 nϩ n ͒ ϩc.…”

Section: ͑311͒mentioning

confidence: 99%

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Stability of commensurate phases of a planar model with competing interactions

Cadorin

Yokoi

1997

Phys. Rev. B

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We study a one-dimensional planar model with competing interactions at zero temperature in the limit of low and high external magnetic fields. The stability of commensurate phases with wave number q 0 ϭ2( P/Q), where P/Q is an irreducible fraction, is discussed in the continuum approximation. We show that for small fields H→0ϩ, the helical phase with period QϾ4 has a width proportional to H Q/2 . Similarly, for high fields H→H c Ϫ, where H c is the critical field for the parafan transition, the fan phase with period Qу4 has a width proportional to ͉HϪH c ͉ (QϪ2)/4 if Q is an even number and ͉HϪH c ͉ (QϪ1)/2 if Q is an odd number.

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Section: Summary and Discussioncontrasting

confidence: 86%

Section: ͑320b͒mentioning

confidence: 76%

Section: ͑218͒mentioning

confidence: 94%

Section: ͑311͒mentioning

confidence: 99%

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Stability of commensurate phases of a planar model with competing interactions

Cadorin

Yokoi

1997

Phys. Rev. B

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“…where the turn angle kd between adjacent moment layers along the z axis is given in Eq. (11), and the average energy per wavelength of the fan is given by Eq. (9b) in terms of the E n values in Eq.…”

Section: B Sinusoidal Fan Phasesmentioning

confidence: 99%

Magnetic structure and magnetization of helical antiferromagnets in high magnetic fields perpendicular to the helix axis at zero temperature

Johnston

2017

Phys. Rev. B

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The zero-temperature angles of magnetic moments in a helix or sinusoidal fan confined to the xy plane, with respect to an in-plane magnetic field Hx applied perpendicular to the z axis of a helix or fan, are calculated for commensurate helices and fans with field-independent turn angles kd between moments in adjacent layers of the helix or fan using the classical J0-J1-J2 Heisenberg model. For 0 < kd < 4π/9, first-order transitions from helix to a fan structure occur at fields Ht as previously inferred, where the fan is found to be approximately sinusoidal. However, for 4π/9 ≤ kd ≤ π, different behaviors are found depending on the value of kd and these properties vary nonmonotonically with kd. In this kd range, the change from helix to fanlike structure is usually a crossover with no phase transition between them, although first-order transitions are found for kd = 3π/5 and 8π/11 and a second-order transition for kd = 3π/4. At a critical field Hc, the fan or fanlike structures exhibit a second-order transition to the paramagnetic state. The Hc for a helix undergoing a field-induced change to a fan or fanlike structure is found to be the same as for a sinusoidal fan with the same kd and interlayer interactions. Analytical expressions for Hc versus kd are presented. We also calculated the average x-axis moment per spin µxave versus Hx for helices and fans with crossovers and phase transitions between them. When smooth helix to fanlike crossovers occur in the range 4π/9 ≤ kd ≤ π, µxave exhibits an S-shape behavior with increasing Hx. This predicted behavior is consistent with µxave(Hx) data previously reported by Sangeetha, et al. [Phys. Rev. B 94, 014422 (2016)] for single-crystal EuCo2P2 possessing a helix ground state with kd ≈ 0.85π. The low-field magnetic susceptibility and the ratio Ht/Hc are calculated analytically or numerically versus kd for helices, and are shown to approach the respective known limits for kd → 0.

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Ising‐Like Model Hasn't Yet Said Its Last Word: Exact and Mean‐Field Investigations of 2, 3 and 4‐Body Interactions in 1D Ising Chain of Binuclear Spin‐Crossover Solids

Boukheddaden,

Belmouri,

di Scala

2024

ChemPhysChem

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We investigate the static properties of a new class of 1D Ising‐like Hamiltonian for binuclear spin‐crossover materials accounting for two‐, three‐, and four‐body short‐range interactions between binuclear units of spins [[EQUATION]] and [[EQUATION]]. The following 2‐, 3‐ , and 4‐body [[EQUATION]], [[EQUATION]], and [[EQUATION]] terms are considered, in addition to intra‐binuclear interactions, such as effective ligand‐field energy and exchange‐like coupling. An exact treatment is carried out within the frame of the transfer matrix method, leading to a [[EQUATION]] matrix from which, we obtained the thermal evolution of the thermodynamic quantities. Several situations of model parameter values were tested, among which that of competing intra‐ and inter‐molecular interactions, leading to the occurrence of (i) one‐step spin transition, (ii) two‐, three‐, and four‐step transitions, obtained with a reasonable number of parameters. To reproduce first‐order phase transitions, we accounted for inter‐chains interactions, treated in the mean‐field approach. Hysteretic multi‐step transitions, recalling experimental observations, are then achieved. Overall, the present model not only suggests new landscapes of interaction configurations between SCO molecules but also opens new avenues to tackle the complex behaviors often observed in the properties of SCO materials.

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Planar spin chain with competing interactions in an external magnetic field

Cited by 14 publications

References 7 publications

Stability of commensurate phases of a planar model with competing interactions

Stability of commensurate phases of a planar model with competing interactions

Magnetic structure and magnetization of helical antiferromagnets in high magnetic fields perpendicular to the helix axis at zero temperature

Ising‐Like Model Hasn't Yet Said Its Last Word: Exact and Mean‐Field Investigations of 2, 3 and 4‐Body Interactions in 1D Ising Chain of Binuclear Spin‐Crossover Solids

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