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… 
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References

SHOWING 1-10 OF 50 REFERENCES
Cure to the Landau–Pomeranchuk and associated long-wavelength Fermi-surface instabilities on the lattice
The cure to the l = 1 Landau–Pomeranchuk instabilities in translationally invariant fermions is shown to be a state with an anisotropic gap at the Fermi surface. For higher l and for fermions on a
Heat bath approach to Landau damping and Pomeranchuk quantum critical points
We study the problem of the damping of collective modes close to a Pomeranchuk quantum critical point in a Fermi liquid. In analogy with problems in dissipative open quantum systems, we derive the
d-wave superconductivity and pomeranchuk instability in the two-dimensional hubbard model
TLDR
The flow of effective interactions and susceptibilities confirms the expected existence of a d-wave pairing instability driven by antiferromagnetic spin fluctuations and finds that strong forward scattering interactions develop which may lead to a Pomeranchuk instability breaking the tetragonal symmetry of the Fermi surface.
Strongly correlated fermions with nonlinear energy dispersion and spontaneous generation of anisotropic phases
Using the bosonization approach, we study fermionic systems with a nonlinear dispersion relation in dimension $dg~2.$ We explicitly show how the band curvature gives rise to interaction terms in the
Ground-state instability in systems of strongly interacting fermions
The stability of a fermion system is analyzed for a model repulsive pair interaction potential. The possibility of different types of restructuring of the Fermi ground state (at sufficiently great
Nonperturbative behavior of the quantum phase transition to a nematic Fermi fluid
We discuss shape (Pomeranchuk) instabilities of the Fermi surface of a two-dimensional Fermi system using bosonization. We consider in detail the quantum critical behavior of the transition of a
Pomeranchuk and other instabilities in the t-t' Hubbard model at the Van Hove filling
We present a stability analysis of the two-dimensional t-t' Hubbard model for various values of the next-nearest-neighbor hopping t', and electron concentrations close to the Van Hove filling by
Soft fermi surfaces and breakdown of Fermi-liquid behavior.
TLDR
It is shown that critical Fermi surface fluctuations near a d-wave Pomeranchuk instability in two dimensions lead to large anisotropic decay rates for single-particle excitations, which destroy FermI-liquid behavior over the whole surface except at the Brillouin zone diagonal.
Quantum theory of a nematic Fermi fluid
We develop a microscopic theory of the electronic nematic phase proximate to an isotropic Fermi liquid in both two and three dimensions. Explicit expressions are obtained for the small amplitude
Formation of an electronic nematic phase in interacting fermion systems
We study the formation of an electronic nematic phase characterized by a broken point-group symmetry in interacting fermion systems within the weak coupling theory. As a function of interaction
...
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