Phase diagram of weakly coupled Heisenberg spin chains subject to a uniform Dzyaloshinskii-Moriya interaction

Jin, Wen; Starykh, Oleg A.

doi:10.1103/physrevb.95.214404

Cited by 14 publications

(9 citation statements)

References 55 publications

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“…The SU(2) symmetry of the exchange interaction turned out to make the coexistence of the Néel and dimer order possible in the ground state. The coexistence of these orders are nontrivial and already interesting [30][31][32]. More interestingly, the dimer order grows in association with the uniform magnetic field (Figs.…”

Section: Discussionmentioning

confidence: 93%

“…The transverse Néel order (−1) j S x j ≈ cos( √ 2πθ) and the transverse dimer order cos( √ 2πφ) seem to compete with each other since φ and θ are noncommutative. However, this competition is an artifact of the Abelian bosonization and these orders are cooperative [30][31][32].…”

Section: B Non-abelian Bosonizationmentioning

confidence: 99%

“…As far as only either the R part or the L part is concerned, I cannot distinguish the Zeeman energy and the uniform DM interaction. A chiral rotation can combine the uniform DM interaction (6.6) and the Zeeman energy (6.7) [30][31][32].…”

Section: Uniform Dm Interactionmentioning

confidence: 99%

“…A chiral rotation can combine the uniform DM interaction (6.6) and the Zeeman energy (6.7) [30][31][32].…”

Section: Uniform Dm Interactionmentioning

confidence: 99%

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Field-induced dimer orders in quantum spin chains

Furuya

2020

Phys. Rev. B

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Field-induced excitation gaps in quantum spin chains are an interesting phenomenon related to confinements of topological excitations. In this paper, I present a novel type of this phenomenon. I show that an effective magnetic field with a fourfold screw symmetry induces the excitation gap accompanied by dimer orders. The dimer order parameter and the excitation gap exhibit characteristic power-law dependence on the fourfold screw-symmetric field. Moreover, the field-induced dimer order and the field-induced Néel order coexist when the external uniform magnetic field, the fourfold screw-symmetric field, and the twofold staggered field are applied. This situation is in close connection with a compound [Cu(pym)(H2O)4]SiF6 · H2O [J. Liu et al., Phys. Rev. Lett. 122, 057207 (2019)]. In this paper, I discuss a mechanism of field-induced dimer orders by using a density-matrix renormalization group method, a perturbation theory, and quantum field theories. arXiv:2002.07387v2 [cond-mat.str-el] 22 Apr 2020

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Section: Discussionmentioning

confidence: 93%

Section: B Non-abelian Bosonizationmentioning

confidence: 99%

Section: Uniform Dm Interactionmentioning

confidence: 99%

“…A chiral rotation can combine the uniform DM interaction (6.6) and the Zeeman energy (6.7) [30][31][32].…”

Section: Uniform Dm Interactionmentioning

confidence: 99%

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Field-induced dimer orders in quantum spin chains

Furuya

2020

Phys. Rev. B

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“…The material of our study is bromotinoite K 2 CuSO 4 Br 2 , a synthetic analogue of the natural mineral chlorotionite [26]. It provides an outstanding realization of the S = 1/2 Heisenberg chain antiferromagnet perturbed by a small uniform DM interaction D [27][28][29]. The presence of the spinon continuum was directly confirmed through the inelastic neutron scattering studies of K 2 CuSO 4 Br 2 [27,28].…”

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confidence: 86%

Electron Spin Resonance of the Interacting Spinon Liquid

Povarov,

Soldatov,

Wang

et al. 2021

Preprint

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Quasiparticles of the Heisenberg spin-1/2 chain -spinons -represent the best experimentally accessible example of fractionalized excitations known to date. Dynamic spin response of the spin chain is typically dominated by the broad multi-spinon continuum that often masks subtle features, such as edge singularities, induced by the interaction between spinons. This, however, is not the case in the small momentum region of the magnetized spin chain where strong interaction between spinons leads to qualitative changes to the response. Here we report experimental verification of the recently predicted collective modes of spinons in a model material K2CuSO4Br2 by means of the electron spin resonance (ESR). We exploit the unique feature of the material -the uniform Dzyaloshinskii-Moriya interaction between chain's spins -in order to access small momentum regime of the dynamic spin susceptibility. By measuring interaction-induced splitting between the two components of the ESR doublet we directly determine the magnitude of the marginally irrelevant backscattering interaction between spinons for the first time. We find it to be in an excellent agreement with the predictions of the effective field theory. Our results point out an intriguing similarity between the one-dimensional interacting liquid of neutral spinons and the Landau Fermi liquid of electrons.

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