# Scaling behaviour and superconducting instability in anisotropic non-Fermi liquids

@article{Mandal2016ScalingBA, title={Scaling behaviour and superconducting instability in anisotropic non-Fermi liquids}, author={Ipsita Mandal}, journal={arXiv: Strongly Correlated Electrons}, year={2016} }

We study the scaling behaviour of the optical conductivity $(\sigma)$, free energy density $(F)$ and shear viscosity of the quantum critical point associated with spin density wave phase transition for a two-dimensional metallic system with $C_2$ symmetry. A non-Fermi liquid behaviour emerges at two pairs of isolated points on the Fermi surface due to the coupling of a bosonic order parameter to fermionic excitations at those so-called "hot-spots". We find that near the hot-spots, $\sigma$ and…

## 12 Citations

Non-Fermi liquid at the FFLO quantum critical point

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When a 2D superconductor is subjected to a strong in-plane magnetic field, Zeeman polarization of the Fermi surface can give rise to inhomogeneous FFLO order with a spatially modulated gap. Further…

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We derive the quantum Boltzmann equation (QBE) by using generalized Landau-interaction parameters, obtained through the nonequilibrium Green’s function technique. This is a generalization of the…

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Superconducting instability can occur in three-dimensional quadratic band crossing semimetals only at a finite coupling strength due to the vanishing of density of states at the quadratic band…

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Raman response and shear viscosity in the non-Fermi liquid phase of Luttinger semimetals

- Physics
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Luttinger semimetals represent materials with strong spin-orbit coupling, harbouring doubly degenerate quadratic band touchings at the Brillouin zone center. In the presence of Coulomb interactions,…

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- PhysicsAnnals of Physics
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Luttinger semimetals include materials like gray tin ($\alpha$-Sn) and mercury telluride, which are three-dimensional gapless semiconductors having a quadratic band crossing point (QBCP). Due to a…

Floquet scattering of quadratic band-touching semimetals through a time-periodic potential well

- Physics, MedicineJournal of physics. Condensed matter : an Institute of Physics journal
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To analyze the time-periodic Hamiltonian, this work assumes a non-adiabatic limit where the Floquet theorem is applicable, and chalk out the transmission and shot noise spectra of the QBT semimetals.

Transport in the non-Fermi liquid phase of isotropic Luttinger semimetals

- PhysicsPhysical Review B
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Luttinger semimetals have quadratic band crossings at the Brillouin zone-center in three spatial dimensions. Coulomb interactions in a model that describes these systems stabilize a non-trivial fixed…

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