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Universal relation between the dispersion curve and the ground-state correlation length in 1D antiferromagnetic quantum spin systems

Autor: Okunishi, K., Akutsu, Y., Akutsu, N., Yamamoto, T.

Publikováno v: Phys. Rev. B 64, 104432 (2001)

We discuss an universal relation $\epsilon(i\kappa)=0$ with ${\rm Re} \kappa=1/\xi$ in 1D quantum spin systems with an excitation gap, where $\epsilon(k)$ is the dispersion curve of the low-energy excitation and $\xi$ is the correlation length of the

Externí odkaz: http://arxiv.org/abs/cond-mat/0107021

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Universality of the Tangential Shape Exponent at the Facet Edge of a Crystal

Autor: Akutsu, Y., Akutsu, N., Yamamoto, T.

Below the roughening temperature, the equilibrium crystal shape (ECS) is composed of both facets and a smoothly curved surface. As for the ``normal'' profile (perpendicular to the facet contour), the ECS has the exponent 3/2 which is characteristic o

Externí odkaz: http://arxiv.org/abs/cond-mat/9803189

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