Exactly solvable spin {1}/{2} quantum chains with multispin interactions
Abstract
A generalized spin {1}/{2} quantum chain with m ( n) spin interactions for the z ( x) component of the spins is shown to be selfdual. 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; n_{x} = m/4) and the spectrum. The anisotropic XY chain is a particular case with = 2.
 Publication:

Physics Letters A
 Pub Date:
 September 1984
 DOI:
 10.1016/03759601(84)907515
 Bibcode:
 1984PhLA..104..435T