The critical properties of one-dimensional quantum Ising models with near-neighbor exclusion (hard rods) are studied by finite-size scaling and conformal invariance. For dimers (rods with length m=2) the system exhibits an Ising-type critical point, while for m3 the system undergoes a first-order phase transition. The operator content of the critical Hamiltonian of hard dimers has been determined for different boundary conditions and identification with the sectors of the Ising model has been done. Using our results, we propose a phase diagram for the quantum Ising model with multispin interaction in the presence of transverse and longitudinal fields.
ASJC Scopus subject areas
- Condensed Matter Physics