Quantum vs. Classical Magnetization Plateaus of S=1/2 Frustrated Heisenberg Chains

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dc.creatorHida, Kazuo
dc.creatorAffleck, Ian
dc.date2005-01-28
dc.date2005-04-02
dc.date.accessioned2026-07-07T03:03:29Z
dc.date.available2026-07-07T03:03:29Z
dc.descriptionThe competition between quantum and classical magnetization plateaus of S=1/2 frustrated Heisenberg chains with modified exchange couplings is investigated. The conventional S=1/2 frustrated Heisenberg chains is known to exhibit a 3-fold degenerate udu-type classical plateau at 1/3 of the saturation magnetization accompanied by the spontaneous Z_3 translational symmetry breakdown. The stability of this plateau phase against period 3 exchange modulation which favors the 00u-type quantum plateau state (00= singlet dimer) is studied by bosonization, renormalization group and numerical diagonalization methods. The ground state phase diagram and the spin configuration in each phase are numerically determined. The translationally invariant Valence Bond Solid-type model with 4-spin and third neighbor interactions, which has the exact 00u-type quantum plateau state, is also presented. The phase transition to the classical udu-type ground state is also observed by varying the strength of 4-spin and third neighbor interactions. The relation between these two types of models with quantum plateau states is discussed.
dc.description10 pages, 21 figures; An analysis of the phase transition between quantum and classical plateau states in translationally invariant models is added
dc.identifierhttps://arxiv.org/abs/cond-mat/0501697
dc.identifierhttp://arxiv.org/abs/cond-mat/0501697
dc.identifierJ. Phys. Soc. Jpn. 74, 1849 (2005)
dc.identifierdoi:10.1143/JPSJ.74.1849
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/25768
dc.subjectStrongly Correlated Electrons
dc.subjectStatistical Mechanics
dc.titleQuantum vs. Classical Magnetization Plateaus of S=1/2 Frustrated Heisenberg Chains
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