2003
DOI: 10.1103/physreve.68.026120
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Ising model with periodic pinning of mobile defects

Abstract: A two-dimensional Ising model with short-range interactions and mobile defects describing the formation and thermal destruction of defect stripes is studied. In particular, the effect of a local pinning of the defects at the sites of straight equidistant lines is analyzed using Monte Carlo simulations and the transfer matrix method. The pinning leads to a long-range ordered magnetic phase at low temperatures. The dependence of the phase transition temperature, at which the defect stripes are destabilized, on t… Show more

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Cited by 14 publications
(27 citation statements)
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“…It is theoretically predicted that in two-dimensional Ising system with mobile defects finite sized clusters are formed. 30,31 With more hole-doping the magnetic correlations along the chain change from being ferromagnetic to antiferromagnetic 8,13,14,23 and a dimerized state finally appears. 14,15,16 There might be a drastic change in magnetic interactions above x=1.7 probably driven by a charge ordering as in the Sr 14 Cu 24 O 41 system.…”
Section: Discussionmentioning
confidence: 99%
“…It is theoretically predicted that in two-dimensional Ising system with mobile defects finite sized clusters are formed. 30,31 With more hole-doping the magnetic correlations along the chain change from being ferromagnetic to antiferromagnetic 8,13,14,23 and a dimerized state finally appears. 14,15,16 There might be a drastic change in magnetic interactions above x=1.7 probably driven by a charge ordering as in the Sr 14 Cu 24 O 41 system.…”
Section: Discussionmentioning
confidence: 99%
“…At low temperatures, the stripes stay close to the pinning lines and longrange antiferromagnetic order is observed. The transition remains to be of first order, driven, again, by the enhanced pairing of defects [6].…”
Section: Ising Model With Mobile Defectsmentioning
confidence: 92%
“…Assuming J and J0 to be large compared to |Ja|, one arrives at a 'minimal version' of the model, where spins along a chain have the same sign between two defects, reversing sign at a defect. The only relevant energy parameter is Ja [5,6].…”
Section: Ising Model With Mobile Defectsmentioning
confidence: 99%
See 1 more Smart Citation
“…Pertinent experimental findings [1][2][3][4] motivated recent theoretical studies on two-dimensional Ising antiferromagnets with defects [5][6][7][8].…”
Section: Introductionmentioning
confidence: 99%