Impact of quantum phase transitions on excited-level dynamics

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 78, Issue 3, 2008, Pages

  Cejnar, Pavel ^a   Stránský, Pavel ^a  

^a CHARLES UNIVERSITY   (Czech Republic)

Author keywords

[No Author keywords available]

Indexed keywords

ELECTRON TUNNELING;

CRITICAL PARAMETERS; EXCITED LEVELS; HIGHER DIMENSIONS; QUANTUM PHASE TRANSITIONS; SECOND ORDERS; STATE TRANSITIONS; TWO-DIMENSIONAL SYSTEMS;

PHASE TRANSITIONS;

EID: 53449084478     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.78.031130     Document Type: Article

References (31)

1. J. Hertz, Phys. Rev. B PLRBAQ 0556-2805 10.1103/PhysRevB.14.1165 14, 1165 (1976).
2. R. Gilmore and D. H. Feng, Nucl. Phys. A NUPABL 0375-9474 10.1016/0375-9474(78)90260-9 301, 189 (1978).
3. R. Gilmore, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.524137 20, 891 (1979).
4. S. Sachdev, Quantum Phase Transitions (Cambridge University Press, Cambridge, 1999).
5. M. Vojta, Rep. Prog. Phys. RPPHAG 0034-4885 10.1088/0034-4885/66/12/R01 66, 2069 (2003).
6. D. Belitz, T. R. Kirkpatrick, and T. Vojta, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.77.579 77, 579 (2005).
7. P. Cejnar and J. Jolie, arXiv:0807.3467, Prog. Part. Nucl. Phys. PPNPDB 0146-6410 (to be published).
8. A. E. L. Dieperink, O. Scholten, and F. Iachello, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.44.1747 44, 1747 (1980).
9. W.-M. Zhang, D. H. Feng, and J. N. Ginocchio, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.59.2032 59, 2032 (1987).
10. A. Volya and V. Zelevinsky, Phys. Lett. B PYLBAJ 0370-2693 10.1016/j.physletb.2003.08.076 574, 27 (2003).
11. D. J. Rowe, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93. 122502 93, 122502 (2004).
12. C. Emary and T. Brandes, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.044101 90, 044101 (2003).
13. S. Heinze, P. Cejnar, J. Jolie, and M. Macek, Phys. Rev. C PRVCAN 0556-2813 10.1103/PhysRevC.73.014306 73, 014306 (2006);
14. M. Macek, P. Cejnar, J. Jolie, and S. Heinze, Phys. Rev. C PRVCAN 0556-2813 10.1103/PhysRevC.73.014307 73, 014307 (2006).
15. P. Cejnar, M. Macek, S. Heinze, J. Jolie, and J. Dobeš, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/39/31/L01 39, L515 (2006).
16. P. Cejnar, S. Heinze, and M. Macek, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99.100601 99, 100601 (2007).
17. M. A. Caprio, P. Cejnar, and F. Iachello, Ann. Phys. (N.Y.) APNYA6 0003-4916 10.1016/j.aop.2007.06.011 323, 1106 (2008).
18. L. E. Reichl, A Modern Course in Statistical Physics (Wiley, New York, 1998).
19. F. Iachello, Lie Algebras and Applications, Lecture Notes in Physics, Vol. 708 (Springer, Berlin, 2006).
20. A. Frank and P. Van Isacker, Algebraic Methods in Molecular and Nuclear Structure Physics (Wiley, New York, 1994).
21. P. Cejnar and F. Iachello, J. Phys. A JPHAC5 0305-4470 10.1088/1751-8113/40/4/001 40, 581 (2007).
22. I. Stewart, Rep. Prog. Phys. RPPHAG 0034-4885 10.1088/0034-4885/45/2/002 45, 185 (1982).
23. H. J. Lipkin, N. Meshkov, and N. Glick, Nucl. Phys. NUPHA7 0029-5582 10.1016/0029-5582(65)90862-X 62 188 (1965);
24. H. J. Lipkin, N. Meshkov, and N. Glick, Nucl. Phys. NUPHA7 0029-5582 62, 199 (1965);
25. H. J. Lipkin, N. Meshkov, and N. Glick, Nucl. Phys. NUPHA7 0029-5582 10.1016/0029-5582(65)90862-X 62, 211 (1965).
26. J. Vidal, J. M. Arias, J. Dukelsky, and J. E. García-Ramos, Phys. Rev. C PRVCAN 0556-2813 10.1103/PhysRevC.73.054305 73, 054305 (2006).
27. J. R. Cary and P. Rusu, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.45.8501 45, 8501 (1992).
28. F. Leyvraz and W. D. Heiss, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.050402 95, 050402 (2005).
29. F. Pérez-Bernal and F. Iachello, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.77.032115 77, 032115 (2008).
30. A. Bohr and B. Mottelson, Nuclear Structure, Vol. 2 (World Scientific, Singapore, 1998).
31. P. Stránský (unpublished).