Chern-Simons Theory for Magnetization Plateaus of Frustrated $J_1$-$J_2$ Heisenberg model

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dc.creatorChang, Ming-Che
dc.creatorYang, Min-Fong
dc.date2002-04-25
dc.date.accessioned2026-07-07T06:26:19Z
dc.date.available2026-07-07T06:26:19Z
dc.descriptionThe magnetization curve of the two-dimensional spin-1/2 $J_1$-$J_2$ Heisenberg model is investigated by using the Chern-Simons theory under a uniform mean-field approximation. We find that the magnetization curve is monotonically increasing for $J_2/J_1 < 0.267949$, where the system under zero external field is in the antiferromagnetic Néel phase. For larger ratios of $J_2/J_1$, various plateaus will appear in the magnetization curve. In particular, in the disordered phase, our result supports the existence of the $M/M_{\rm sat}=1/2$ plateau and predicts a new plateau at $M/M_{\rm sat}=1/3$. By identifying the onset ratio $J_2/J_1$ for the appearance of the 1/2-plateau with the boundary between the Néel and the spin-disordered phases in zero field, we can determine this phase boundary accurately by this mean-field calculation. Verification of these interesting results would indicate a strong connection between the frustrated antiferromagnetic system and the quantum Hall system.
dc.descriptionRevTeX 4, 4 pages, 3 EPS figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0204569
dc.identifierhttp://arxiv.org/abs/cond-mat/0204569
dc.identifierPhys. Rev. B 66, 184416 (2002)
dc.identifierdoi:10.1103/PhysRevB.66.184416
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/97075
dc.subjectStrongly Correlated Electrons
dc.subjectMesoscale and Nanoscale Physics
dc.titleChern-Simons Theory for Magnetization Plateaus of Frustrated $J_1$-$J_2$ Heisenberg model
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