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Critical Behavior at the Onset ofk→-Space Instability on theλLine
Abstract
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 $\stackrel{\ensuremath{\rightarrow}}{\mathrm{k}}=0$ and $\stackrel{\ensuremath{\rightarrow}}{\mathrm{k}}\ensuremath{\ne}0$ along the $\ensuremath{\lambda}$ 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 $\ensuremath{\epsilon}$-type expansion.
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Citations
Cited by
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Cross, M. C., & Hohenberg, P. C. (1993) · Reviews of Modern Physics · doi:10.1103/revmodphys.65.851 · Cited by 7,859
Origin of the scattering peak in microemulsions
Teubner, M., & Strey, R. (1987) · The Journal of Chemical Physics · doi:10.1063/1.453006 · Cited by 962
Membranes at quantum criticality
Hořava, P. (2009) · Journal of High Energy Physics · doi:10.1088/1126-6708/2009/03/020 · Cited by 731
Brando, M., Belitz, D., Grosche, F. M., & Kirkpatrick, T. R. (2016) · Reviews of Modern Physics · doi:10.1103/revmodphys.88.025006 · Cited by 347
Metadata
- Authors
- Hornreich, R. M., Luban, M., & Shtrikman, S.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1975-12-22
- Volume
- 35
- Issue
- 25
- Pages
- 1678-1681
- ISSN
- 0031-9007 (ISSN-L)
- OpenAlex
- W1568948019
- Cited by
- 842
- References
- 0
- FWCI
- 13.36
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: Critical Behavior at the Onset ofk→-Space Instability on theλLine. https://app.cochat.ai/papers/10.1103/physrevlett.35.1678
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- Hornreich, R. M., Luban, M., & Shtrikman, S. (1975). Critical Behavior at the Onset ofk→-Space Instability on theλLine. Physical Review Letters. https://doi.org/10.1103/physrevlett.35.1678
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