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Title of Journal: Zeitschrift für Physik B Condensed Matter

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Abbravation: Zeitschrift für Physik B Condensed Matter

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Springer-Verlag

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DOI

10.1007/978-1-4614-5705-3_18

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1431-584X

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Interrelations between various frustrated Ising a

Authors: Michel Pleimling Boris Neubert Rolf Siems
Publish Date: 2014/02/04
Volume: 104, Issue: 1, Pages: 125-130
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Abstract

Hierarchical relations for qstate and rspinmodels are discussed A central role in this discussion is played by the Double Ising Spin DIS model with only nearest neighbor couplings which was introduced for a theoretical description of certain systems with uniaxially modulated structures It can be interpreted as a special fourstate model Continuing with the specialization the fourstate chiral clock model is derived as a special case of the DIS model Furthermore it is shown that another particular DIS model can be mapped in an exact way onto the Axial Next Nearest Neighbor Ising ANNNI model The relation connecting ANNNIand DISparameters depends on temperature its precise form is given Conclusions regarding the influences of the mean field approximation for the two models are discussed

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Other Papers In This Journal:
  1. On the critical temperature of non-periodic Ising models on hexagonal lattices
  2. On the critical temperature of non-periodic Ising models on hexagonal lattices
  3. Effect of preparation on Hg−Ba−Ca−Cu−O superconductors
  4. Structural relaxation and viscous flow in amorphous ZrAlCu
  5. Nonequilibrium statistical mechanical formulation for grain growth
  6. Ions and atoms in superfluid helium ( 4 He)
  7. Microcanonical ensemble study of a gas column under gravity
  8. Shift of the Bragg position in grazing-incidence diffraction
  9. Electrical field induced growth of triangular nanometer structures on WSe 2
  10. Andreev reflexion at nanocontacts of superconducting AuIn 2 with copper
  11. Nature of coherent enhancement of inelastic electron scattering from disordered media
  12. Optical mode crossings and the low temperature anomalies of SrTiO 3
  13. Multiphonon decay of strong mode in quantum lattice
  14. Andreev reflexion at nanocontacts of superconducting AuIn 2 with copper
  15. The Hume-Rothery rules and phase stabilities in noble metal alloys
  16. Instabilities of weakly correlated electronic gas on a two dimensional lattice
  17. Non-Fermi-liquid behavior and d-wave superconductivity near the charge-density-wave quantum critical point
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