Destruction of valence-bond order in a<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>S</mml:mi><mml:mo>=</mml:mo><mml:mfrac><mml:mn>1</mml:mn><mml:mn>2</mml:mn></mml:mfrac></mml:mrow></mml:math>sawtooth chain with a Dzyaloshinskii-Moriya term

Hao, Zhihao; Wan, Yuan; Rousochatzakis, Ioannis; Wildeboer, Julia; Seidel, Alexander; Mila, Frédéric; Tchernyshyov, Oleg

doi:10.1103/physrevb.84.094452

Cited by 17 publications

(22 citation statements)

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“…29,50). For historical reasons and following standard practice [63][64][65][66][67] , we set Ŵ ij = 0 in these calculations. In all the considered cases, the field-induced chiral phase persisted up to magnetizations of at least ∼ 20% of the saturation magnetization.…”

Section: Methods Numerical Calculations the Hamiltonianmentioning

confidence: 99%

Two coupled chains are simpler than one: field-induced chirality in a frustrated spin ladder

Pikulski

Shiroka

Casola

et al. 2020

Sci Rep

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Although the frustrated (zigzag) spin chain is the Drosophila of frustrated magnetism, our understanding of a pair of coupled zigzag chains (frustrated spin ladder) in a magnetic field is still lacking. We address this problem through nuclear magnetic resonance (NMR) experiments on BiCu$$_2$$ 2 PO$$_6$$ 6 in magnetic fields up to 45 T, revealing a field-induced spiral magnetic structure. Conjointly, we present advanced numerical calculations showing that even a moderate rung coupling dramatically simplifies the phase diagram below half-saturation magnetization by stabilizing a field-induced chiral phase. Surprisingly for a one-dimensional model, this phase and its response to Dzyaloshinskii-Moriya (DM) interactions adhere to classical expectations. While explaining the behavior at the highest accessible magnetic fields, our results imply a different origin for the solitonic phases occurring at lower fields in BiCu$$_2$$ 2 PO$$_6$$ 6 . An exciting possibility is that the known, DM-mediated coupling between chirality and crystal lattice may give rise to a new kind of spin-Peierls instability.

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Section: Methods Numerical Calculations the Hamiltonianmentioning

confidence: 99%

Two coupled chains are simpler than one: field-induced chirality in a frustrated spin ladder

Pikulski

Shiroka

Casola

et al. 2020

Sci Rep

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“…Using the vacuum expectation value of the φ field (46) one easily obtains that in the ground state, the system is characterized by the LRO pattern of the on-site staggered magnetization with amplitude…”

Section: B the Ll Sectormentioning

confidence: 99%

Magnetic phase diagram of a spin-1/2 XXZ chain with modulated Dzyaloshinskii-Moriya interaction

Japaridze,

Cheraghi,

Mahdavifar

2021

Preprint

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We consider the ground-state phase diagram of a one-dimensional spin-1/2 XXZ chain with spatially modulated Dzyaloshinskii-Moriya interaction in the presence of applied along with the ẑ axis alternating magnetic field. The model is studied using the continuum-limit bosonization approach and the finite system exact numerical technique. In the absence of the magnetic field, the groundstate phase diagram of the model includes besides the ferromagnetic and gapless Luttiger-Liquid (LL) phases two gapped phases, the composite (C1) phase characterized by the coexistence of the long-range-ordered (LRO) alternating dimerization and the spin chirality patterns, and the composite (C2) phase characterized in addition to the coexisting spin dimerization and alternating chirality patterns, by the presence of LRO antiferromagnetic order. In the case of two-letter gapped phases, in the case of a uniform magnetic field, the commensurate-incommensurate type quantum phase transitions (QPT) from a gapful phase into the gapless phase have been identified and described using the bosonization treatment and finite chain exact diagonalizations studies. The upper critical magnetic field corresponding to the transition into a fully polarized state has been also determined. It has been shown that the very presence of the staggered component of the magnetic field vapes out the composite (C1) in favour of the composite gapped (C2) phase.

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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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Destruction of valence-bond order in aS=12sawtooth chain with a Dzyaloshinskii-Moriya term

Cited by 17 publications

References 50 publications

Two coupled chains are simpler than one: field-induced chirality in a frustrated spin ladder

Two coupled chains are simpler than one: field-induced chirality in a frustrated spin ladder

Magnetic phase diagram of a spin-1/2 XXZ chain with modulated Dzyaloshinskii-Moriya interaction

Enhancement of magnetization plateaus in low-dimensional spin systems

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