Deconfinement of spinons in frustrated spin systems: Spectral perspective

Yu, Shun-Li; Wang, Wei; Dong, Zhao-Yang; Yao, Zhonghua; Li, Jianxin

doi:10.1103/physrevb.98.134410

Cited by 36 publications

(33 citation statements)

References 49 publications

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“…Besides, a distinct continuum of excitations arises in the transverse dynamical structure factor (DSF) at k = (π, 0) which has the form of a high-energy tail of the one-magnon peak (similar features were observed also in layered cuprates [19][20][21] ). This continuum was ascribed to a magnon instability at k = (π, 0) with respect to a decay either on two spinons 12,16,22,23 or on a Higgs excitation and another magnon 17,18,24 .…”

Section: Introductionmentioning

confidence: 99%

Novel elementary excitations in spin-1/2 antiferromagnets on the triangular lattice

Syromyatnikov

2021

Preprint

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We discuss spin-1 2 Heisenberg antiferromagnet on the triangular lattice using the recently proposed bond-operator technique (BOT). We use the variant of BOT which takes into account all spin degrees of freedom in the magnetic unit cell containing three spins. Apart from conventional magnons known from the spin-wave theory (SWT), there are novel high-energy collective excitations in BOT which are built from high-energy excitations of the magnetic unit cell. We obtain also another novel high-energy quasiparticle which has no counterpart not only in the SWT but also in the harmonic approximation of BOT. All observed elementary excitations produce visible anomalies in dynamical spin correlators. We show that quantum fluctuations considerably change properties of conventional magnons predicted by the SWT. The effect of a small easy-plane anisotropy is discussed. The anomalous spin dynamics with multiple peaks in the dynamical structure factor is explained that was observed recently experimentally in Ba3CoSb2O9 and which the SWT could not describe even qualitatively.

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Section: Introductionmentioning

confidence: 99%

Novel elementary excitations in spin-1/2 antiferromagnets on the triangular lattice

Syromyatnikov

2021

Preprint

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“…[29] for magnons and spinons coexisting in the quasi-1D limit. The problem of partially confined spinons has recently received considerable attention in some of the paradigm Heisenberg models within frustrated quantum magnetism [41][42][43][44][45], and SeCuO 3 presents a materials example of this complex situation. While a detailed analysis lies beyond the scope of the present study, the locations of continuum scattering in Fig.…”

Section: Table I Superexchange Interaction Parameters Within Thementioning

confidence: 99%

Triplons, magnons, and spinons in a single quantum spin system:SeCuO3

et al. 2021

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Quantum magnets display a wide variety of collective excitations, including spin waves (magnons), coherent singlet-triplet excitations (triplons), and pairs of fractional spins (spinons). These modes differ radically in nature and properties, and in all conventional analyses any given material is interpreted in terms of only one type. We report inelastic neutron scattering measurements on the spin-1/2 antiferromagnet SeCuO 3 , which demonstrate that this compound exhibits all three primary types of spin excitation. Cu 1 sites form strongly bound dimers while Cu 2 sites form a network of spin chains, whose weak three-dimensional (3D) coupling induces antiferromagnetic order. We perform quantitative modeling to extract all of the relevant magnetic interactions and show that magnons of the Cu 2 system give a lower bound to the spinon continua, while the Cu 1 system hosts a band of high-energy triplons at the same time as frustrating the 3D network.

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“…The dynamical VMC is useful to examine the S αα (q, ω) of spin liquids. It has been applied to the Heisenberg model on kagome lattice [6,7], and to Heisenberg model with first-(J 1 ) and second-neighbor (J 2 ) interactions on one-dimensional chains [8] and on square [9,10], triangular [11], and honeycomb [12] lattices. Furthermore, it has been used to get spectral properties of correlated electrons in Refs.…”

Section: Introductionmentioning

confidence: 99%

The dynamical structure factor of the SU(3) Heisenberg chain: The variational Monte Carlo approach

Vörös,

Penc

2021

Preprint

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We compute the dynamical spin structure factor S(k, ω) of the SU(3) Heisenberg chain variationally using a truncated Hilbert space spanned by the Gutzwiller projected particle-hole excitations of the Fermi sea, introduced in [B. Dalla Piazza et al., Nature Physics 11, 62 (2015)], with a modified importance sampling. We check the reliability of the method by comparing the S(k, ω) to exact diagonalization results for 18 sites and to the two-soliton continuum of the Bethe Ansatz for 72 sites. We get an excellent agreement in both cases. Detailed analysis of the finite-size effects shows that the method captures the critical Wess-Zumino-Witten SU(3)1 behavior and reproduces the correct exponent, with the exception of the size dependence of the weight of the bottom of the conformal tower. We also calculate the single-mode approximation for the SU(N ) Heisenberg model and determine the velocity of excitations. Finally, we apply the method to the SU(3) Haldane-Shastry model and find that the variational method gives the exact wave function for the lowest excitation at k = ±2π/3.

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Deconfinement of spinons in frustrated spin systems: Spectral perspective

Cited by 36 publications

References 49 publications

Novel elementary excitations in spin-1/2 antiferromagnets on the triangular lattice

Novel elementary excitations in spin-1/2 antiferromagnets on the triangular lattice

Triplons, magnons, and spinons in a single quantum spin system:SeCuO3

The dynamical structure factor of the SU(3) Heisenberg chain: The variational Monte Carlo approach

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