English

Finite-size scaling exponents in the interacting boson model

Statistical Mechanics 2007-05-23 v2 Nuclear Theory Quantum Physics

Abstract

We investigate the finite-size scaling exponents for the critical point at the shape phase transition from U(5) (spherical) to O(6) (deformed γ\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 dd-boson number in the ground state and the E2E2 transition probability from the ground state to the first excited state, and determine the corresponding finite-size scaling exponents.

Keywords

Cite

@article{arxiv.cond-mat/0503240,
  title  = {Finite-size scaling exponents in the interacting boson model},
  author = {S. Dusuel and J. Vidal and J. M. Arias and J. Dukelsky and J. E. Garcia-Ramos},
  journal= {arXiv preprint arXiv:cond-mat/0503240},
  year   = {2007}
}

Comments

4 pages, 3 figures, published version

R2 v1 2026-07-22T11:14:42.459Z