Pomeranchuk and topological Fermi surface instabilities from central interactions

  title={Pomeranchuk and topological Fermi surface instabilities from central interactions},
  author={Jorge Quintanilla and A. J. Schofield},
  journal={Physical Review B},
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… 
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
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
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
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
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
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
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
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
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
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


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
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.
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