Finite-size scaling exponents in the interacting boson model

We investigate the finite-size scaling exponents for the critical point at the shape phase transition from U(5) (spherical) to O(6) (deformed -unstable) dynamical symmetries of the Interacting Boson Model, making use of the Holstein-Primakoff boson expansion and the continuous unitary transfor- mati...

Full description

Bibliographic Details
Authors: Dusuel, Sébastien, Vidal, Julien, Arias Carrasco, José Miguel
Format: article
Publication Date:2005
Country:España
Institution:Universidad de Huelva (UHU)
Repository:Arias Montano. Repositorio Institucional de la Universidad de Huelva
Language:English
OAI Identifier:oai:ariasmontano.uhu.es:10272/5523
Online Access:http://hdl.handle.net/10272/5523
Access Level:Open access
Keyword:Interacting boson model
Quantum phase transitions
Description
Summary:We investigate the finite-size scaling exponents for the critical point at the shape phase transition from U(5) (spherical) to O(6) (deformed -unstable) dynamical symmetries of the Interacting Boson Model, making use of the Holstein-Primakoff boson expansion and the continuous unitary transfor- mation 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 prob- ability from the ground state to the first excited state, and determine the corresponding finite-size scaling exponents.