Abstract The quantum corrections are calculated to the energy of the soliton in the easy‐plane ferromagnetic spin chain with two anisotropies. A semiclassical continuum approximation is used which allows to treat the leading order deviations from idealized classical behavior. The soliton density at finite temperatures is also calculated.

physica status solidi (b)Feb 1, 19881 citation

Quasi-soliton scattering in quantum spin chains

Davide Fioretto, Rogier Vljim, Martin Ganahl +4 more

Bulletin of the American Physical SocietyMar 18, 20160 citations

The European Physical Journal B

Soliton energy in an easy-plane quantum spin chain

Peter S. Riseborough

Published Dec 1, 1984• 7 citations

Publisher

DOI: 10.1007/bf01470418

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Soliton energy in an easy-plane quantum spin chain

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We investigate the quantum corrections to the energy of the static soliton in the $\mathrm{XY}$ -like ferromagnetic spin chain in a symmetry-breaking external field. We apply a semiclassical continuum approximation which allows us to treat the leading-order deviations from idealized planar behavior. The equivalent quantum-field theory, an extension of the quantum sine-Gordon theory, is renormalized and its soliton energy is shown to depend strongly on this deviation. The quantum-field-theoretical renormalization, however, does not affect the energy of the magnetic soliton, which is calculated to leading order in $\frac{1}{S}$ , where $S$ is the spin length. The sine-Gordon limit is found applicable only for very large anisotropies; for realistic anisotropies, the reduction of the soliton energy owing to quantum effects is enhanced and depends only on $S$ . A quantitative calculation for the $S=1$ system CsNi ${\mathrm{F}}_{3}$ is likely to require higher-order terms in $\frac{1}{S}$ .We investigate the quantum corrections to the energy of the static soliton in the $\mathrm{XY}$-like ferromagnetic spin chain in a symmetry-breaking external field. We apply a semiclassical continuum approximation which allows us to treat the leading-order deviations from idealized planar behavior. The equivalent quantum-field theory, an extension of the quantum sine-Gordon theory, is renormalized and its soliton energy is shown to depend strongly on this deviation. The quantum-field-theoretical renormalization, however, does not affect the energy of the magnetic soliton, which is calculated to leading order in $\frac{1}{S}$, where $S$ is the spin length. The sine-Gordon limit is found applicable only for very large anisotropies; for realistic anisotropies, the reduction of the soliton energy owing to quantum effects is enhanced and depends only on $S$. A quantitative calculation for the $S=1$ system CsNi${\mathrm{F}}_{3}$ is likely to require higher-order terms in $\frac{1}{S}$.

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Soliton Energy in a Quantum Ferromagnet with Two Anisotropies

Sérgio Luiz Talim, Antonio S. T. Pires

physica status solidi (b)Feb 1, 19881 citation

Quasi-soliton scattering in quantum spin chains

Davide Fioretto, Rogier Vljim, Martin Ganahl +4 more

Bulletin of the American Physical SocietyMar 18, 20160 citations

We investigate the quantum corrections to the energy of the static soliton in the

\mathrm{XY}

-like ferromagnetic spin chain in a symmetry-breaking external field. We apply a semiclassical continuum approximation which allows us to treat the leading-order deviations from idealized planar behavior. The equivalent quantum-field theory, an extension of the quantum sine-Gordon theory, is renormalized and its soliton energy is shown to depend strongly on this deviation. The quantum-field-theoretical renormalization, however, does not affect the energy of the magnetic soliton, which is calculated to leading order in

\frac{1}{S}

, where

S

is the spin length. The sine-Gordon limit is found applicable only for very large anisotropies; for realistic anisotropies, the reduction of the soliton energy owing to quantum effects is enhanced and depends only on

S

. A quantitative calculation for the

S=1

system CsNi

{\mathrm{F}}_{3}

is likely to require higher-order terms in

\frac{1}{S}