Exactly solvable spin- quantum chains with multispin interactions |
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Authors: | Loïc Turban |
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Institution: | 2. Université de Nancy I, BP 239, F-54506 Vandoeuvre les Nancy, France |
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Abstract: | A generalized spin- quantum chain with m (n) spin interactions for the z (x) component of the spins is shown to be self-dual. Through duality, the m arbitrary, n = 2 version of the model is transformed into m independent Ising chains in a transverse field, allowing us to get the exact values of the critical exponents for any m (v = s = z = 1; β = m/8; nx = m/4) and the spectrum. The anisotropic XY chain is a particular case with = 2. |
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