Quantum-statistical mechanics of non-linear excitations in the one-dimensional antiferromagnet

Pires, A.S.T.; Talim, Sérgio Luiz

doi:10.1007/bf01307286

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Small Oscillations About Soliton Configuration1

Quantum Corrections1

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1993

1999

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Cited by 6 publications

(2 citation statements)

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“…To solve them we write xzY t f q z e Àiwt , hzY t g q z e Àiwt . Substituting this ansatz into the field equations, the equation for x has the form of a usual Schro È dinger equation whose eigenfunctions and eigenvalues are exactly known [5,6]. It has one discrete level followed by a continuum.…”

Section: Small Oscillations About Soliton Configurationmentioning

confidence: 99%

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Quantized Topological Solitons in Antiferromagnets on an Infinite Cylinder

Silva

Pereira

1999

phys. stat. sol. (b)

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We semiclassically quantize static topological solitons which exist within a continuum Heisenberg model of an antiferromagnet on an infinite rigid cylinder. It is shown that the energy of a quantized fundamental soliton and the spin‐wave spectrum are strongly dependent on the geometry of isotropic spin systems. This dependence implies that the spin‐wave gap increases and the energy of a quantized soliton decreases as the radius of the cylinder decreases. Our calculations may have relevance for the recently synthesized carbon nanotubes or cylindrically wrapped thin films of magnetic materials with antiferromagnetic order.

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Section: Small Oscillations About Soliton Configurationmentioning

confidence: 99%

“…To calculate the contribution of the other states, which remain in the continuum in the presence of a soliton, we consider an infinite cylinder and then, the discrete sum in (6) becomes an integral. Thus, the total energy of a quantized fundamental soliton is given by [6,7] …”

Section: Quantum Correctionsmentioning

confidence: 99%