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Phys. Rev. Lett. 92, 212501 (2004) [4 pages]

Quantum Phase Transitions in Mesoscopic Systems

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F. Iachello1 and N. V. Zamfir2
1Center for Theoretical Physics, Sloane Physics Laboratory, Yale University, New Haven, Connecticut 06520-8120, USA
2WNSL, Yale University, New Haven, Connecticut 06520-8124, USA

Received 11 November 2003; published 26 May 2004

Quantum phase transitions in mesoscopic systems are studied. It is shown that the main features of phase transitions, defined for infinite number of particles, N→∞, persist even for moderate N∼10. A Landau analysis of first order transitions is done and a “critical” exponent at the spinodal point is defined. Two order parameters are introduced to distinguish first from second order transitions. Applications to atomic nuclei, molecules, atomic clusters, and finite polymers are mentioned. Experimental evidence in atomic nuclei is presented.

© 2004 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.92.212501
DOI:
10.1103/PhysRevLett.92.212501
PACS:
21.60.Fw, 05.70.Fh, 21.10.Re, 27.70.+q