Thermodynamic Property of the<i>Δ</i>-Chain

Nakamura, Tota; Saika, Yohei

doi:10.1143/jpsj.64.695

Cited by 13 publications

(7 citation statements)

References 16 publications

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“…The specific heat was shown to have a double peak in common with the kagomé antiferromagnet. This double peak structure was also observed recently by a Monte Carlo method 22 and by a recursion method. 23 The dispersionless aspect of excitations may be considered to imply immediately their localization and hence very weak size-dependence of various quantities.…”

Section: Introductionsupporting

confidence: 82%

Elementary excitations in the Δ chain

1996

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We clarify elementary excitations in the ∆-chain. They are found to be 'kink'-'antikink' type domain wall excitations to the dimer singlet ground state. The characters of a kink and an antikink are quite different in this system: a kink has no excitation energy and is localized, while an antikink has a finite excitation energy and propagates. The excitation energy of a kink-antikink pair consists of a finite energy gap and a kinetic energy due to the free motion of the antikink. Variational wave functions for an antikink are studied to clarify its propagating states. All the numerical results are explained consistently based on this picture. At finite temperatures, thermally excited antikinks are moving in regions bounded by localized kinks. The origin of the low-temperature peak in the specific heat reported previously is explained and the peak position in the thermodynamic limit is estimated. 65.40.Hq, 75.50.Ee, 75.60.Ch

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Section: Introductionsupporting

confidence: 82%

Elementary excitations in the Δ chain

1996

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“…In this paper, we primarily focus on the sawtooth chain, but we keep the analysis as general as possible to simultaneously treat the frustrated chain and discuss the similarities as well as the differences between the two models. Although the sawtooth chain, as well as variants of it, have been studied theoretically early on [30][31][32][33][34][35][36][37][38][39][40][41][42][43][44], they remain of great interest today [45][46][47][48][49][50][51][52][53]. From an experimental point of view, the situation remains challenging, with only a limited number of compounds being reported up to today to materialize dominant magnetic interactions in a sawtooth pattern.…”

Section: Introductionmentioning

confidence: 99%

Enhancement of magnetization plateaus in low-dimensional spin systems

2020

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We study the low-energy properties and, in particular, the magnetization process of a spin-1/2 Heisenberg J 1 − J 2 sawtooth and frustrated chain (also known as a zigzag ladder) with a spatially modulated g factor. We treat the problem both analytically and numerically while keeping the J 2 /J 1 ratio generic. Numerically, we use complete and Lanczos diagonalization as well as the infinite time-evolving block decimation method. Analytically, we employ (non-)Abelian bosonization. Additionally, for the sawtooth chain, we provide an analytical description in terms of flat bands and localized magnons. By considering a specific pattern for the g-factor modulation for both models, we show that a small inhomogeneity significantly enhances a magnetization plateau at half saturation. For the magnetization of the frustrated chain, we show the destruction of one-third of the full saturation plateau in favor of the creation of a plateau at half saturation. For large values of the inhomogeneity parameter, the existence of an additional plateau at zero magnetization is possible. Here and at higher magnetic fields, the system is locked in the half-saturation plateau, never reaching full saturation.

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“…In this work, we primarily focus on the sawtooth chain, but we keep the analysis as general as possible to simultaneously treat the frustrated chain and discuss the similarities as well as the differences between the two models. Although the sawtooth chain, as well as variants of it, have been studied theoretically early on [25][26][27][28][29][30][31][32][33][34][35][36][37][38][39] they remain of great interest until today [40][41][42][43][44][45]. From an experimental point of view, the situation remains challenging, with only a limited number of compounds being reported until this day to materialize dominant magnetic interactions in a sawtooth pattern.…”

Section: Introductionmentioning

confidence: 99%

Enhancement of magnetization plateaus in low dimensional spin systems

Metavitsiadis,

Psaroudaki,

Brenig

2020

Preprint

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We study the low-energy properties and, in particular, the magnetization process of a spin-1/2 Heisenberg J1 − J2 sawtooth and frustrated chain (also known as zig-zag ladder) with a spatially anisotropic g-factor. We treat the problem both analytically and numerically while keeping the J2/J1 ratio generic. Numerically, we use complete and Lanczos diagonalization as well as the infinite timeevolving block decimation (iTEBD) method. Analytically we employ (non-)Abelian bosonization. Additionally for the sawtooth chain, we provide an analytical description in terms of flat bands and localized magnons. By considering a specific pattern for the g-factor anisotropy for both models, we show that a small anisotropy significantly enhances a magnetization plateau at half saturation. For the magnetization of the frustrated chain, we show the destruction of the 1/3 of the full saturation plateau in favor of the creation of a plateau at half-saturation. For large anisotropies, the existence of an additional plateau at zero magnetization is possible. Here and at higher magnetic fields, the system is locked in the half-saturation plateau, never reaching full saturation.

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Thermodynamic Property of theΔ-Chain

Cited by 13 publications

References 16 publications

Elementary excitations in the Δ chain

Elementary excitations in the Δ chain

Enhancement of magnetization plateaus in low-dimensional spin systems

Enhancement of magnetization plateaus in low dimensional spin systems

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