Electric field driven flat bands: Enhanced magnetoelectric and electrocaloric effects in frustrated quantum magnets

Richter, Johannes; Ohanyan, Vadim; Schulenburg, J.; Schnack, Jürgen

doi:10.1103/physrevb.105.054420

Cited by 5 publications

(2 citation statements)

References 136 publications

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“…The non-collinear phase has not been much explored to the best of our knowledge; most studies have focused on the dimerized phase, where a valencebond solid (VBS) ground state appears for J ′ = J, which has solitonic excitations [21][22][23]. Flat magnon bands appear at the specific point J ′ /J = 1/2 [28,[33][34][35] and lead to an exceptionally large jump from full saturation to half saturation due to localized magnons [24][25][26][27].…”

Section: Previous Resultsmentioning

confidence: 99%

Quantum spin spiral ground state of the ferrimagnetic sawtooth chain

et al. 2023

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The ferrimagnetic phase of the sawtooth chain with mixed ferromagnetic nearest-neighbour interactions JJ and antiferromagnetic next-nearest-neighbour interactions J'J′ (within the isotropic Heisenberg model) was previously characterized as a phase with commensurate order. In this paper, we demonstrate that the system in fact exhibits an incommensurate quantum spin spiral. Even though the ground state is translationally invariant in terms of the local spin expectations ‹S_i›‹Si#8250;, the spiral can be detected via the connected spin-spin correlations ‹{S_i\cdot S_j}#8250;‹Si⋅Sj#8250;-‹{S_i}#8250;\cdot‹{S_j}#8250;‹Si#8250;⋅‹Sj#8250; between the apical spins. It has a long wavelength that grows with J'J′ and that soon exceeds finite-system sizes typically employed in numerical simulations. A faithful treatment thus requires the use of state-of-the-art simulations for large, periodic systems. In this work, we are able to accurately treat up to L=400L=400 sites (200 unit cells) with periodic boundary conditions using the density-matrix renormaliztion group (DMRG). Exploiting the SU(2) symmetry allows us to directly compute the lowest-energy state for a given total spin. Our results are corroborated by variational uniform matrix product state (VUMPS) calculations, which work directly in the thermodynamic limit at the cost of a lower accuracy.

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Section: Previous Resultsmentioning

confidence: 99%

Quantum spin spiral ground state of the ferrimagnetic sawtooth chain

et al. 2023

Self Cite

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show abstract

“…The non-collinear phase has not been much explored to the best of our knowledge; most studies have focused on the dimerized phase, where a valence-bond solid (VBS) ground state appears for J = J, which has solitonic excitations [22,23,25]. Flat magnon bands appear at the specific point J /J = 1/2 [29,[34][35][36] and lead to an exceptionally large jump from full saturation to half saturation due to localized magnons [24,[26][27][28].…”

Section: Previous Resultsmentioning

confidence: 99%

Quantum spin spiral ground state of the ferrimagnetic sawtooth chain

Rausch¹,

Peschke²,

Plorin³

et al. 2022

Preprint

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The ferrimagnetic phase of the sawtooth chain with mixed ferromagnetic nearest-neighbour interactions J and antiferromagnetic next-nearest-neighbour interactions J (within the isotropic Heisenberg model) was previously characterized as a phase with commensurate order. In this paper, we demonstrate that the system in fact exhibits an incommensurate quantum spin spiral. Even though the ground state is translationally invariant in terms of the local spin expectations Si , the spiral can be detected via the connected spin-spin correlations Si • Sj − Si • Sj between the apical spins. It has a long wavelength that grows with J and that soon exceeds finite-system sizes typically employed in numerical simulations. A faithful treatment thus requires the use of state-of-the-art simulations for large, periodic systems.In this work, we are able to accurately treat L = 400 sites (200 unit cells) with periodic boundary conditions using the density-matrix renormaliztion group (DMRG). This is possible due to the exploitation of the SU(2) symmetry which results in effective bond dimensions of more than 1,000,000. Our results are corroborated by variational uniform matrix product state (VUMPS) calculations, which work directly in the thermodynamic limit at the cost of a lower accuracy.

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Nonergodic one-magnon magnetization dynamics of the antiferromagnetic delta chain

Schlüter

et al. 2023

Phys. Rev. B

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Electric field driven flat bands: Enhanced magnetoelectric and electrocaloric effects in frustrated quantum magnets

Cited by 5 publications

References 136 publications

Quantum spin spiral ground state of the ferrimagnetic sawtooth chain

Quantum spin spiral ground state of the ferrimagnetic sawtooth chain

Quantum spin spiral ground state of the ferrimagnetic sawtooth chain

Nonergodic one-magnon magnetization dynamics of the antiferromagnetic delta chain

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