Boundaries, cusps, and discontinuities in the multimagnon continua of one-dimensional quantum spin systems

Barnes, T.

doi:10.1103/physrevb.67.024412

Cited by 17 publications

(3 citation statements)

References 19 publications

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“…The appearance of a splitting around the zone center reflects additional interactions. Such a splitting can potentially arise within a bound state when the potential that binds together the two interacting magnons (and which does not act upon the delocalized two-particle states of the continuum [67]) possesses a Q-dependence [46]. Given the existence of significant inter-chain exchange interactions with components along H and L, we ascribe these as the likely origin.…”

Section: Discussionmentioning

confidence: 97%

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Refined Spin Wave Model and Multi-magnon Bound States in $Li_{2}CuO_{2}$

Zoghlin¹,

Stone²,

Wilson³

2023

Preprint

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Here we report a study of the spin dynamics in the ferromagnetic chain compound Li2CuO2. Inelastic neutron scattering measurements allow for the spin Hamiltonian to be determined using a J1 − J2 XXZ-Heisenberg spin chain model with weak inter-chain interactions. The primary exchange parameters determined from our data are qualitatively consistent with those of W. E. A. Lorentz et al. Europhys. Lett. 88, 37002 (2009), and our data allow for the resolution of additional inter-chain exchange interactions. We also observe the formation of two-and three-magnon bound states, stabilized by the weak, Ising-like exchange anisotropy of the nearestneighbor intra-chain interaction. While the two-magnon bound state exists only in the magnetically ordered phase of this material, the three-magnon state persists in a finite temperature regime above TN , indicating an unconventional character. Our results establish Li2CuO2as an experimental platform for the study of exchange anisotropy-stabilized bound states in a ferromagnetic chain.

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Section: Discussionmentioning

confidence: 97%

“…8(a), left) and L is indicative of a bound state superimposed onto the continuum scattering. Naively, the intensity of a two-magnon continuum is expected to be peaked at the magnetic zone center [66] with structure possible near the zone boundary [67]. The appearance of a splitting around the zone center reflects additional interactions.…”

Section: Discussionmentioning

confidence: 99%

Refined Spin Wave Model and Multi-magnon Bound States in $Li_{2}CuO_{2}$

Zoghlin¹,

Stone²,

Wilson³

2023

Preprint

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“…We can construct a continuum of two-particle states by combining one-particle states with individual momenta κ 1 and κ 2 ; the total momentum and energy of this two-particle state is q = κ 1 + κ 2 and ω = ∆(κ 1 ) + ∆(κ 2 ). The density of states within this two-particle continuum is not uniform but given by [367]…”

Section: Divergences In the Density Of Statesmentioning

confidence: 99%

Tensor Network States and Effective Particles for Low-Dimensional Quantum Spin Systems

Vanderstraeten

2017

Springer Theses

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Zo hoort de theoretische fysica te zijn, geen verpleeghuis voor kreupelen, maar een speelplaats voor gezonde, vitale, bloeiende, lachende, vrolijke losbollen, welgeschapen, complete wezens die tevreden zijn met zichzelf, die ieder voor zich het ideaalbeeld zijn van hun moeder en de kracht van hun vaders lendenen, niet de misgeboorten van vage wensen, niet de nageboorte die met de naweeën komt. Het onderhavige werk is het resultaat van vier jaar vertoeven op deze speelplaats die theoretische fysica heet, en ik heb het steeds als een voorrecht ervaren aan dit mooie project te mogen meewerken. Dit voorwoord is de ideale plaats om de mensen te bedanken die het mij hebben mogelijk gemaakt om van dit voorrecht te genieten. Eerst en vooral dien ik mijn promotoren-duo te bedanken, die mij op deze ontdekking doorheen de kwantumveeldeeltjesfysica hebben begeleid. Zonder Jutho was ik waarschijnlijk nooit terecht gekomen in deze prachtige wetenschap, en hij heeft zich nooit enige moeite gespaard om mij verder te helpen als ik ergens vastzat. Frank ben ik dankbaar voor zijn vertrouwen, enthousiasme en onafgebroken toevoer van suggesties en ideeën, die mij hebben toegelaten om mijn eigen weg te zoeken doorheen het kwantumdoolhof. Natuurlijk gaat ook mijn dank uit naar alle 'vrolijke losbollen' van de Gentse kwantumgroep:

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Low‐temperature spin transport in the S = 1 one‐ and two‐dimensional antiferromagnets with Dzyaloshinskii–Moriya interaction

Lima

2012

Physica Status Solidi (b)

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We present a study of the spin transport at low‐temperature in the quantum S = 1 one‐ and two‐dimensional Heisenberg antiferromagnet with the Dzyaloshinskii–Moriya interaction (DM). The spin conductivity is calculated using the Schwinger boson representation and the Kubo formalism of transport in the one‐dimensional case and using the self‐consistent harmonic approximation and the Kubo formalism in the two‐dimensional case. The objective is to determine the regular part of the spin conductivity and the Drude weight DS. This determines if the spin transport has a ballistic or diffusive character. We calculate the regular part of the spin conductivity, σreg(ω), as function of the frequency at T = 0 only and the Drude weight at zero and finite temperatures. We obtained that the spin transport is governed by the multimagnon processes in all cases analyzed since the symmetry of the isotropic Heisenberg antiferromagnetic model is broken with the addition of the DM term.

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Boundaries, cusps, and discontinuities in the multimagnon continua of one-dimensional quantum spin systems

Cited by 17 publications

References 19 publications

Refined Spin Wave Model and Multi-magnon Bound States in $Li_{2}CuO_{2}$

Refined Spin Wave Model and Multi-magnon Bound States in $Li_{2}CuO_{2}$

Tensor Network States and Effective Particles for Low-Dimensional Quantum Spin Systems

Low‐temperature spin transport in the S = 1 one‐ and two‐dimensional antiferromagnets with Dzyaloshinskii–Moriya interaction

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