Critical theory of Pomeranchuk transitions via high-dimensional bosonization
Abstract
We use high-dimensional bosonization to derive an effective field theory that describes the Pomeranchuck transition in isotropic two-dimensional Fermi liquids. We find that the transition is triggered by the softening of an eigenmode that leads to spontaneous Fermi surface distortion. The resultant theory in terms of this critical mode has dynamical critical exponent $z = 2$ and the upper critical dimension is $d_c = 4-z= 2$. As a result the system is at the upper critical dimension in 2D, resulting in a Gaussian fixed point with a marginally irrelevant quartic perturbation.
Fields of Study & Subjects
Topological Materials and Phenomena
Physics of Superconductivity and Magnetism
Organic and Molecular Conductors Research
Publication details
- Journal / source
- Physical review. B./Physical review. B
- Volume
- 113
- Issue
- 24
- Publication date
- 8 June 2026
- Language
- EN