# Pomeranchuk and topological Fermi surface instabilities from central interactions

@article{Quintanilla2006PomeranchukAT, title={Pomeranchuk and topological Fermi surface instabilities from central interactions}, author={Jorge Quintanilla and A. J. Schofield}, journal={Physical Review B}, year={2006}, volume={74}, pages={115126} }

We address at the mean field level the emergence of a Pomeranchuk instability in a uniform Fermi liquid with central particle-particle
interactions. We find that Pomeranchuk instabilities with all symmetries
except l=1 can take place if the interaction is repulsive and has
a finite range r(0) of the order of the interparticle distance. We
demonstrate this by solving the mean field equations analytically
for an explicit model interaction, as well as numerical results for
more…

## 42 Citations

REENTRANT BEHAVIOR IN LANDAU–FERMI LIQUIDS WITH SPIN-SPLIT POMERANCHUK INSTABILITIES

- Physics
- 2012

We study the effects of spin-antisymmetric interactions on the stability of a Landau–Fermi liquid on the square lattice, using the generalized Pomeranchuk method for two-dimensional lattice systems.…

Fermi surface instabilities of symmetry-breaking and topological types on the surface of a three-dimensional topological insulator

- PhysicsPhysical Review B
- 2018

The emergence of the Pomeranchuk instability (PI) in a Helical Fermi liquid (HFL) residing on the surface of a three-dimensional topological insulator (3D TI) is addressed at the mean-field level. An…

Pomeranchuk instabilities in multicomponent lattice systems at finite Temperature

- Physics
- 2010

In the present paper we extend the method to detect Pomeranchuk instabilities in lattice systems developed in previous works to study more general situations. The main result presented here is the…

Nematic phase in a two-dimensional Hubbard model at weak coupling and finite temperature

- PhysicsPhysical Review B
- 2018

We apply the self-consistent renormalized perturbation theory to the Hubbard model on the square lattice at finite temperatures to study the evolution of the Fermi surface (FS) as a function of…

Adaptation of the Landau-Migdal quasiparticle pattern to strongly correlated Fermi systems

- Physics
- 2011

A quasiparticle pattern advanced in Landau’s first article on Fermi-liquid theory is adapted to elucidate the properties of a class of strongly correlated Fermi systems characterized by a Lifshitz…

Multiscale quantum criticality: Pomeranchuk instability in isotropic metals

- Physics
- 2009

As a paradigmatic example of multiscale quantum criticality, we consider the Pomeranchuk instability of an isotropic Fermi liquid in two spatial dimensions, $d=2$. The corresponding Ginzburg-Landau…

Conditions for l=1 Pomeranchuk instability in a Fermi liquid

- Physics
- 2018

We perform a microscropic analysis of how the constraints imposed by conservation laws affect $q=0$ Pomeranchuk instabilities in a Fermi liquid. The conventional view is that these instabilities are…

Symmetry-breaking Fermi surface deformations from central interactions in two dimensions

- Physics
- 2008

We present a mean-field theory of the Pomeranchuk instability in two dimensions, starting from a generic central interaction potential described in terms of a few microscopic parameters. For a…

Topological crossovers near a quantum critical point

- Physics
- 2011

We study the temperature evolution of the single-particle spectrum ε-(p) and quasiparticle momentum distribution n(p) of homogeneous strongly correlated Fermi systems beyond a point where the…

Fermi surface instabilities at finite temperature

- Physics
- 2013

We present a new method to detect Fermi surface instabilities for interacting systems at finite temperature. We first apply it to a list of cases studied previously, recovering already known results…

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