An Intersecting Loop Model as a Solvable Super Spin Chain

Details An Intersecting Loop Model as a Solvable Super Spin Chain An Intersecting Loop Model as a Solvable Super Spin Chain

1997-09-04

arxiv.org/abs/cond-mat/9709051v1

Phys.Rev.Lett. 81 (1998) 504-507

Physics

Condensed Matter

Statistical Mechanics

latex file, 7 pages

Scientific paper

10.1103/PhysRevLett.81.504

In this paper we investigate an integrable loop model and its connection with a supersymmetric spin chain. The Bethe Ansatz solution allows us to study some properties of the ground state. When the loop fugacity $q$ lies in the physical regime, we conjecture that the central charge is $c=q-1$ for $q$ integer $< 2$. Low-lying excitations are examined, supporting a superdiffusive behavior for $q=1$. We argue that these systems are interesting examples of integrable lattice models realizing $c \leq 0$ conformal field theories.

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