2019
DOI: 10.1103/physrevlett.122.097204
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Winding Up Quantum Spin Helices: How Avoided Level Crossings Exile Classical Topological Protection

Abstract: A magnetic helix can be wound into a classical Heisenberg chain by fixing one end while rotating the other one. We show that in quantum Heisenberg chains of finite length, the magnetization slips back to the trivial state beyond a finite turning angle. Avoided level crossings thus undermine classical topological protection. Yet, for special values of the axial Heisenberg anisotropy, stable spin helices form again, which are non-locally entangled. Away from these sweet spots, spin helices can be stabilized dyna… Show more

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Cited by 15 publications
(11 citation statements)
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“…From spin helices in one-dimensional ferromagnetic chains we know that classical and quantum systems significantly differ in their behavior. While a classical helix can easily be wound up by rotating one edge magnetic moment [29], quantum spin slippage mostly prevents the creation of quantum helices [30]. In classical two-dimensional ferromagnetic systems with DMI, rotating the boundary magnetization can create classical magnetic skyrmions [18].…”
mentioning
confidence: 99%

Controlled Creation of Quantum Skyrmions

Siegl,
Vedmedenko,
Stier
et al. 2021
Preprint
Self Cite
“…From spin helices in one-dimensional ferromagnetic chains we know that classical and quantum systems significantly differ in their behavior. While a classical helix can easily be wound up by rotating one edge magnetic moment [29], quantum spin slippage mostly prevents the creation of quantum helices [30]. In classical two-dimensional ferromagnetic systems with DMI, rotating the boundary magnetization can create classical magnetic skyrmions [18].…”
mentioning
confidence: 99%

Controlled Creation of Quantum Skyrmions

Siegl,
Vedmedenko,
Stier
et al. 2021
Preprint
Self Cite
“…While the effects of slowly varying parameters on the local and the global topological properties of the system's state have been studied extensively, for gapped quantum condensed-matter systems [2,3,11,12], for discrete quantum systems with degenerate eigenstates [13], for quantum-spin [14][15][16][17] and classical-spin models [4][5][6]18], in the context of classical phase transitions [19,20] and in molecular dynamics [9,21], etc., the feedback of the local topological charge densities on the state of the parameters has not so much been in the focus. This feedback is meaningful, if the "parameters" are actually treated as classical dynamical degrees of freedom with a real-time dynamics that is slow compared to the fast degrees of freedom of the "system".…”
Section: Introductionmentioning
confidence: 99%
“…The latter two cases are known as Z 2 and Z 4 fractional JEs pertaining to contributions from Majoranas and parafermions respectively [39][40][41]. While in this paper, we would like to see how symmetries are transformed between spins and fermions, especially how these fractional JEs affect the spin current transport [42][43][44][45], even under the influence from manybody interactions and quasi-particle poisoning.…”
Section: Introductionmentioning
confidence: 99%