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Phys. Rev. Lett. 98, 257203 (2007) [4 pages]

Critical Behavior of CP1 at θ=π, Haldane’s Conjecture, and the Relevant Universality Class

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Vicente Azcoiti1, Giuseppe Di Carlo2, and Angelo Galante3
1Departamento de Física Teórica, Universidad de Zaragoza, Cl. Pedro Cerbuna 12, E-50009 Zaragoza, Spain
2INFN, Laboratori Nazionali del Gran Sasso, 67010 Assergi, (L’Aquila) Italy
3Dipartimento di Fisica, ITIS “E. Mattei”, via S. Rocco, 66054 Vasto, Italy

Received 18 July 2006; published 20 June 2007

Using an approach to analyze the θ dependence of systems with a θ term we recently proposed, the critical behavior of CP1 at θ=π is studied. We find a region outside the strong coupling regime where Haldane’s conjecture is verified. The critical line, however, does not belong to the universality class of the Wess-Zumino-Novikov-Witten model at topological coupling k=1 since it shows continuously varying critical exponents.

© 2007 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.98.257203
DOI:
10.1103/PhysRevLett.98.257203
PACS:
75.10.Jm, 11.15.Ha