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Phys. Rev. Lett. 35, 1678–1681 (1975)

Critical Behavior at the Onset of k⃗-Space Instability on the λ Line

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R. M. Hornreich
Department of Electronics, The Weizmann Institute of Science, Rehovot, Israel

Marshall Luban
Department of Physics, Bar-Ilan University, Ramat-Gan, Israel, and Department of Electronics, The Weizmann Institute of Sceince, Rehovot, Israel

S. Shtrikman*
Department of Electronics, The Weizmann Institute of Science, Rehovot, Israel

Received 28 July 1975; published in the issue dated 22 December 1975

We calculate the critical behavior of systems having a multicritical point of a new type, hereafter called a Lifshitz point, which separates ordered phases with k⃗=0 and k⃗≠0 along the λ line. For anisotropic systems, the correlation function is described in terms of four critical exponents, whereas for isotropic systems two exponents suffice. Critical exponents are calculated using an ε-type expansion.

© 1975 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.35.1678
DOI:
10.1103/PhysRevLett.35.1678
PACS:

*Work supported in part by the Commission for Basic Research of the Israel Academy of Sciences and Humanities.

 
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