Spin pair correlation of the ANNNI chain in a field

Alves, Neri; Yokoi, Carlos S. O.

doi:10.1590/s0103-97332000000400005

Cited by 3 publications

(3 citation statements)

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“…23 The exact solution of this model provides analytical functions for the fielddependence of ξ and q. These are shown for J 1 = 0.28 meV, J 2 = 0.18 meV and M = 8.3µ B at various temperatures on Fig.…”

Section: B Hysteresis and Low Temperature Regimesmentioning

confidence: 99%

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Field dependence of the magnetic correlations of the frustrated magnetSrDy2O4

et al. 2017

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The frustrated magnet SrDy 2 O 4 exhibits a field-induced phase with a magnetization plateau at 1/3 of the saturation value for magnetic fields applied along the b-axis. We report here a neutron scattering study of the nature and symmetry of the magnetic order in this field-induced phase. Below T ≈ 0.5 K, there are strong hysteretic effects, and the order is short or long ranged for zero-field and field cooling, respectively. We find that the long-range ordered magnetic structure within the zig-zag chains is identical to that expected for the one-dimensional axial next-nearest neighbour Ising (ANNNI) model in longitudinal fields. The long-range ordered structure in field contrasts with the short-range order found at zero field, and is probably reached through enhanced quantum fluctuations with increasing fields.

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Section: B Hysteresis and Low Temperature Regimesmentioning

confidence: 99%

“…where m is the magnetization, A is a scaling factor, ξ is the correlation length and q is the wavenumber. 23 The exact solution of this model provides analytical functions for the fielddependence of ξ and q. These are shown for J 1 = 0.28 meV, J 2 = 0.18 meV and M = 8.3µ B at various temperatures on Fig.…”

Section: B Hysteresis and Low Temperature Regimesmentioning

confidence: 99%

Field dependence of the magnetic correlations of the frustrated magnetSrDy2O4

et al. 2017

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“…The Hamiltonian has the form: In the ANNNI model, the NNN interaction is taken only in one direction. The energy deduced from its two dimensional Hamiltonian is given by [15]:…”

Section: Antiphase In the Ising Modelmentioning

confidence: 99%

Antiphase phenomena in 2d ising square lattice

Sitamtze¹,

Zékeng²,

Ndjaka³

et al. 2010

African Journal of Science and Technology

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Modulation and correlation lengths in systems with competing interactions

Chakrabarty

Nussinov

2011

Phys. Rev. B

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We examine, principally via large n methods (n refers to the number of components of the classical field or the spin), correlation functions in systems that harbor competing long and short ranged interactions. We report, in detail, on various characteristics of the multiple correlation and modulation lengths that these systems generally exhibit. We compute the ground state stripe width of an Ising ferromagnet that is frustrated by long range interactions. We investigate related systems with vectorial order parameters. The bulk of our results concern the evolution of modulation lengths in such systems with temperature. We find that crossover temperatures T * mark the onset of modulations. In the limit of weak frustration, T * tends the critical temperature of the unfrustrated ferromagnetic system (in which the frustrating long range interaction is absent). We illustrate that apart from certain special crossover points, the total number of correlation and modulation lengths remains conserved as temperature is varied. We illustrate that the correlation functions associated with the exact dipolar interactions differ substantially from those in which a simple scalar product form between the dipoles is assumed.

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Spin pair correlation of the ANNNI chain in a field

Cited by 3 publications

References 0 publications

Field dependence of the magnetic correlations of the frustrated magnetSrDy2O4

Field dependence of the magnetic correlations of the frustrated magnetSrDy2O4

Antiphase phenomena in 2d ising square lattice

Modulation and correlation lengths in systems with competing interactions

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