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Physica A Statistical Mechanics and its Applications

Spectral density approach for the damping of fermion elementary excitations in an anisotropic spin- linear chain

L. S. Campana, Alvaro Caramico D’Auria, M. D’Ambrosio, L. De Cesare, Ugo Esposito

Published Jan 1, 1984• 5 citations
Publisher
DOI
10.1016/0378-4371(84)90116-x

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Abstract An integrable anisotropic Heisenberg spin chain with nearest-neighbour couplings, next-nearest-neighbour couplings and scalar chirality terms is constructed. After proving the integrability, we obtain the exact solution of the system. The ground state and the elementary excitations are also studied. It is shown that the spinon excitation of the present model possesses a novel triple arched structure. The elementary excitation is gapless if the anisotropic parameter is real while the elementary excitation has an enhanced gap by the next-nearest-neighbour and chiral three-spin interactions if the anisotropic parameter is imaginary. The method of this paper provides a general way to construct integrable models with next-nearest-neighbour interactions.