Fate of superconductivity in three-dimensional disordered Luttinger semimetals

@article{Mandal2017FateOS,
  title={Fate of superconductivity in three-dimensional disordered Luttinger semimetals},
  author={Ipsita Mandal},
  journal={arXiv: Strongly Correlated Electrons},
  year={2017}
}
  • Ipsita Mandal
  • Published 23 October 2017
  • Physics
  • arXiv: Strongly Correlated Electrons

Figures from this paper

Ground state of the three-dimensional BCS d -wave superconductor
We determine the mean-field ground state of the three-dimensional rotationally symmetric d-wave (l=2) superconductor at weak coupling. It is a noninert state, invariant under the symmetry C2 only,
Using Disorder to Identify Bogoliubov Fermi-Surface States
We argue that a superconducting state with a Fermi-surface of Bogoliubov quasiparticles, a Bogoliubov Fermi-surface (BG-FS), can be identified by the dependence of physical quantities on disorder. In
Phase transition with trivial quantum criticality in an anisotropic Weyl semimetal
When a metal undergoes continuous quantum phase transition, the correlation length diverges at the critical point and the quantum fluctuation of order parameter is described by a gapless bosonic
d -wave superconductivity and Bogoliubov-Fermi surfaces in Rarita-Schwinger-Weyl semimetals
Quasiparticles appearing in Dirac or Weyl semimetals connect relativistic physics at high energies to ongoing studies of novel condensed matter states. Recently, the standard model of emergent
Optical response of Luttinger semimetals in the normal and superconducting states
We investigate the optical response properties of three-dimensional Luttinger semimetals with the Fermi energy close to a quadratic band touching point. In particular, in order to address recent
Interplay of Topology and Electron-Electron Interactions in Rarita-Schwinger-Weyl semimetals.
TLDR
The effects of strong short-range electron-electron interactions in generic Rarita-Schwinger-Weyl semimetals hosting spin-3/2 electrons with linear dispersion at a fourfold band crossing point are studied for the first time.
Time reversal symmetry breaking and $d$-wave superconductivity of triple-point fermions
We study the possibility of complex tensor (d-wave) superconducting order in three-dimensional semimetals with chiral spin-1/2 triple-point fermions, which have an effective orbital angular momentum
Critical phenomena at the complex tensor ordering phase transition
We investigate the critical properties of the phase transition towards complex tensor order that has been proposed to occur in spin-orbit coupled superconductors. For this purpose we formulate the
...
1
2
...

References

SHOWING 1-10 OF 60 REFERENCES
Superconducting quantum criticality in three-dimensional Luttinger semimetals
We study a simple model of three-dimensional fermions close to a quadratic band touching point, built from the celebrated Luttinger single-particle Hamiltonian and an attractive contact interaction
Superconductivity in two-dimensional disordered Dirac semimetals
In two-dimensional Dirac semimetals, Cooper pairing instability occurs only when the attractive interaction strength $|u|$ is larger than some critical value $|{u}_{c}|$ because the density of states
Disordered and interacting parabolic semimetals in two and three dimensions
A clean noninteracting parabolic semimetal is characterized by quadratic band touching between the conduction and the valence bands at isolated diabolic points in the Brillouin zone and describes a
Higher angular momentum pairing from transverse gauge interactions
= 1=2 and the normal state of optimally doped cuprate superconductors. Our study thus addresses the question of whether or not non-Fermi liquids, like Fermi liquids, are unstable towards the
Nematic quantum criticality in three-dimensional Fermi system with quadratic band touching
We construct and discuss the field theory for tensorial nematic order parameter coupled to gapless four-component fermions at the quadratic band touching point in three (spatial) dimensions. Within a
Superconductivity of disordered Dirac fermions
uctuations suggests that locally superconducting puddles should form at a much higher temperature, and should establish global phase coherence at a temperature that is only exponentially small in
Inflated nodes and surface states in superconducting half-Heusler compounds
The half-Heusler superconductors such as YPtBi are multiorbital systems with both strong spin-orbit coupling and broken inversion symmetry. The spin-orbit coupling allows for the formation of Cooper
Disorder-driven destruction of a non-Fermi liquid semimetal studied by renormalization group analysis
We investigate the interplay of Coulomb interactions and short-range-correlated disorder in three-dimensional systems where absent disorder the noninteracting band structure hosts a quadratic band
Cooper pairing in non-Fermi liquids
States of matter with a sharp Fermi surface but no well-defined Landau quasiparticles arise in a number of physical systems. Examples include (i) quantum critical points associated with the onset of
...
1
2
3
4
5
...