Superconductivity near a nematoelastic quantum critical point

Abstract

We study the pairing instability of a two-dimensional metallic system induced by Ising-nematic quantum fluctuations in the presence of an unavoidable relevant coupling of the nematic order parameter to the elastic modes (acoustic phonons) of the lattice. We find that this nematoelastic coupling ${\lambda }_{\mathrm{latt}}$ leads to a decrease of both the superconducting (SC) critical temperature $T_c$ and the gap function $\Delta$, regardless of the gap symmetry. Interestingly, we show that ${\lambda }_{\mathrm{latt}}$ provides a knob that allows us to investigate the emergence of the SC phase at low temperatures, as an instability from either a non-Fermi liquid or a Fermi liquid normal state. The phase transitions between the SC and these normal states are characterized by different critical exponents, which may also vary for each gap symmetry. Finally, we argue that these results might explain the dependence of $T_c$ in the vicinity of the nematic quantum critical point exhibited by the compound FeSe${}_{1-x}$S${}_x$.

arXiv comment6 pages, 4 figures

References in corpus (36)

• Nematic order in iron superconductors - who is in the driver's seat?
• Evidence for an electron nematic phase transition in underdoped iron pnictide superconductors
• Nematic Fermi Fluids in Condensed Matter Physics
• Broken rotational symmetry in the pseudogap phase of a high-Tc superconductor
• Electronic liquid crystal state in the high-temperature superconductor YBCO(6.45)
• Nematic and meta-nematic transitions in the iron pnictides
• Quantum phase transitions of metals in two spatial dimensions: II. Spin density wave order
• Quantum phase transitions of metals in two spatial dimensions: I. Ising-nematic order
• Nematicity and Competing Orders in Superconducting Magic-Angle Graphene
• Low energy effective theory of Fermi surface coupled with U(1) gauge field in 2+1 dimensions
• Effects of nematic fluctuations on the elastic properties of iron arsenide superconductors
• Enhancement of superconductivity near a nematic quantum critical point
• Are non-Fermi-liquids stable to Cooper pairing?
• Thermodynamic evidence for nematic phase transition at the onset of pseudogap in YBa${}_2$Cu${}_3$O${}_y$
• Nematic quantum critical point without magnetism in FeSe1-xSx superconductors
• Superconductivity and non-Fermi liquid behavior near a nematic quantum critical point
• Recent Developments in Non-Fermi Liquid Theory
• Ising nematic quantum critical point in a metal: a Monte Carlo study
• Transport near the Ising-nematic quantum critical point of metals in two dimensions
• Electronic in-plane symmetry breaking at field-tuned quantum criticality in CeRhIn5
• Interplay of magnetic and structural transitions in Fe-based pnictide superconductors
• Monte Carlo Studies of Quantum Critical Metals
• Global Phase Diagram for Magnetism and Lattice Distortion of Fe-pnictide Materials
• Lattice effects on nematic quantum criticality in metals
• Quenched nematic criticality separating two superconducting domes in an iron-based superconductor under pressure
• A controlled expansion for certain non-Fermi liquid metals
• Scattering mechanisms and electrical transport near an Ising nematic quantum critical point
• Elastic coupling and spin-driven nematicity in iron-based superconductors
• New Superconductivity Dome in LaFeAsO${}_{1-x}$F${}_x$ Accompanied by Structural Transition
• Superconductivity near a nematic quantum critical point -- the interplay between hot and lukewarm regions
• Pairing instability near a lattice-influenced nematic quantum critical point
• Anomalous high-magnetic field electronic state of the nematic superconductors FeSe${}_{1-x}$S${}_x$
• Resistivity near a nematic quantum critical point: Impact of acoustic phonons
• Lattice-Shifted Nematic Quantum Critical Point in FeSe${}_{1-x}$S${}_x$
• DC resistivity near a nematic quantum critical point: Effects of weak disorder and acoustic phonons
• The Effect of Repulsion on Superconductivity at Low Density

Cited by in corpus (2)

• Microscopic origin of the nemato-elastic coupling and dynamics of hybridized collective nematic-phonon excitations
• Superconductivity near an Ising nematic quantum critical point in two dimensions