Quantum phase transitions in Bose-Fermi systems

D. Petrellis; A. Leviatan; F. Iachello

doi:10.1016/j.aop.2010.12.001

Quantum phase transitions in Bose-Fermi systems

D. Petrellis, A. Leviatan^*, F. Iachello

^*Corresponding author for this work

Racah Institute of Physics

Research output: Contribution to journal › Article › peer-review

41 Scopus citations

Abstract

Quantum phase transitions in a system of N bosons with angular momentum L=. 0, 2 (. s,. d) and a single fermion with angular momentum j are investigated both classically and quantum mechanically. It is shown that the presence of the odd fermion strongly influences the location and nature of the phase transition, especially the critical value of the control parameter at which the phase transition occurs. Experimental evidence for the U(5)-SU(3) (spherical to axially-deformed) transition in odd-even nuclei is presented.

Original language	English
Pages (from-to)	926-957
Number of pages	32
Journal	Annals of Physics
Volume	326
Issue number	4
DOIs	https://doi.org/10.1016/j.aop.2010.12.001
State	Published - Apr 2011

Bibliographical note

Funding Information:
We thank C.E. Alonso, J.M. Arias, M. Böyükata, M.A. Caprio, L. Fortunato and especially, A. Vitturi for many useful discussions on their work in QPT in Bose–Fermi systems. This work was performed in part under DOE Grant No. DE-FG-02–91ER40608 and in part by a grant from the US-Israel Binational Science Foundation.

Keywords

Algebraic models
Bose-Fermi systems
Interacting boson-fermion model (IBFM)
Quantum shape-phase transitions

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10.1016/j.aop.2010.12.001

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title = "Quantum phase transitions in Bose-Fermi systems",

abstract = "Quantum phase transitions in a system of N bosons with angular momentum L=. 0, 2 (. s,. d) and a single fermion with angular momentum j are investigated both classically and quantum mechanically. It is shown that the presence of the odd fermion strongly influences the location and nature of the phase transition, especially the critical value of the control parameter at which the phase transition occurs. Experimental evidence for the U(5)-SU(3) (spherical to axially-deformed) transition in odd-even nuclei is presented.",

keywords = "Algebraic models, Bose-Fermi systems, Interacting boson-fermion model (IBFM), Quantum shape-phase transitions",

author = "D. Petrellis and A. Leviatan and F. Iachello",

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doi = "10.1016/j.aop.2010.12.001",

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AB - Quantum phase transitions in a system of N bosons with angular momentum L=. 0, 2 (. s,. d) and a single fermion with angular momentum j are investigated both classically and quantum mechanically. It is shown that the presence of the odd fermion strongly influences the location and nature of the phase transition, especially the critical value of the control parameter at which the phase transition occurs. Experimental evidence for the U(5)-SU(3) (spherical to axially-deformed) transition in odd-even nuclei is presented.

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KW - Bose-Fermi systems

KW - Interacting boson-fermion model (IBFM)

KW - Quantum shape-phase transitions

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Quantum phase transitions in Bose-Fermi systems

Abstract

Bibliographical note

Keywords

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