Finite-size scaling exponents in the interacting boson model

S. Dusuel, J. Vidal, J. M. Arias, J. Dukelsky, J. E. Garcia-Ramos

Published 2005-03-10, updated 2005-07-15Version 2

We investigate the finite-size scaling exponents for the critical point at the shape phase transition from U(5) (spherical) to O(6) (deformed $\gamma$-unstable) dynamical symmetries of the Interacting Boson Model, making use of the Holstein-Primakoff boson expansion and the continuous unitary transformation technique. We compute exactly the leading order correction to the ground state energy, the gap, the expectation value of the $d$-boson number in the ground state and the $E2$ transition probability from the ground state to the first excited state, and determine the corresponding finite-size scaling exponents.