Experimental observables near a nematic quantum critical point in the pnictide and cuprate superconductors

Abstract

The newly discovered high temperature superconductor SmFeAs(O1-xFx) shows a clear nematic transition where the square lattice of Fe ions has a rectangular distortion. Similar nematic ordering has also been observed in the cuprate superconductors. We provide a detailed theory of experimental observables near such a nematic transition: we calculate the scaling of specific heat, local density of states (LDOS) and NMR relaxation rate 1/T_1T.

7 pages, 7 figures

References in corpus (19)

• Superconductivity at 38 K in the iron arsenide (Ba1-xKx)Fe2As2
• Magnetic Order versus superconductivity in the Iron-based layered La(O1-xFx)FeAs systems
• Superconductivity at 43 K in Samarium-arsenide Oxides $SmFeAs{O}_{1-x}{F}_x$
• Spin density wave anomaly at 140 K in the ternary iron arsenide BaFe2As2
• Superconductivity and Phase Diagram in the Iron-based Arsenic-oxides ReFeAsO1-delta (Re = rare earth metal) without F-Doping
• Theory of Electron Nematic Order in LaOFeAs
• Pressure induced superconductivity in CaFe${}_2$As${}_2$
• Ising and Spin orders in Iron-based Superconductors
• Quantum Theory of a Nematic Fermi Fluid
• Superconductivity at 52 K in iron-based F-doped layered quaternary compound Pr[O1-xFx]FeAs
• Anisotropic thermodynamic and transport properties of single crystalline (Ba${}_{1-x}$K${}_x$)Fe${}_2$As${}_2$ (x = 0 and 0.45)
• Lattice and magnetic instabilities in CaFe2As2: A single crystal neutron diffraction study
• Phase transitions in LaFeAsO: structural, magnetic, elastic, and transport properties, heat capacity and Mossbauer spectra
• Magnetic and structural transitions in layered FeAs systems: AFe2As2 versus RFeAsO compounds
• Structural transition and anisotropic properties of single crystalline SrFe2As2
• Magnetic Order of the Iron Spins in NdOFeAs
• Renormalization group theory of nematic ordering in d-wave superconductors
• Theory of the nodal nematic quantum phase transition in superconductors
• Scanning tunneling spectroscopy of SmFeAsO0.85: Possible evidence for d-wave order parameter symmetry

Cited by in corpus (40)

• High-temperature superconductivity in iron-based materials
• Renormalization group analysis of competing orders and the pairing symmetry in Fe-based superconductors
• Dispersive Spin Fluctuations in the near optimally-doped superconductor Ba(Fe1-xCox)2As2 ($x$=0.065)
• Global Phase Diagram for Magnetism and Lattice Distortion of Fe-pnictide Materials
• Superconductivity from orbital nematic fluctuations
• Avoided Valence Transition in a Plutonium Superconductor
• Disorder effects at a nematic quantum critical point in d-wave cuprate superconductor
• Heat capacity measurements on FeAs-based compounds: a thermodynamic probe of electronic and magnetic states
• Influence of Coulomb interaction on the anisotropic Dirac cone in graphene
• Electronic Raman scattering from orbital nematic fluctuations
• Properties of a diagonal 2-orbital ladder model of the Fe-pnictide superconductors
• Suppression of superconductivity at nematic critical point in underdoped cuprates
• Anomalous Scaling of the Penetration Depth in Nodal Superconductors
• Classification of nematic order in 2+1D: Dislocation melting and $O(2)/Z_N$ lattice gauge theory
• Spin nematic fluctuations near a spin-density-wave phase
• Self-masking of spontaneous symmetry breaking in layer materials
• Role of four-fermion interaction and impurity in the states of two-dimensional semi-Dirac materials
• Velocity renormalization of nodal quasiparticles in d-wave superconductors
• A Twisted Ladder: relating the Fe superconductors to the high $T_c$ cuprates
• Condition for the emergence of a bulk Fermi arc in disordered Dirac-fermion systems
• Fe-based superconductors: unity or diversity?
• Competition between superconductivity and nematic order in high-$T_c$ superconductor
• Structure of the pairing gap from orbital nematic fluctuations
• Unconventional behavior of Dirac fermions in three-dimensional gauge theory
• Effects of random potentials in three-dimensional quantum electrodynamics
• Fermion-fermion interaction driven instability and criticality of quadratic band crossing systems with the breaking of time-reversal symmetry
• Theoretical insights into electronic nematic order, bond-charge orders, and plasmons in cuprate superconductors
• Coulomb interaction and semimetal-insulator transition in graphene
• Probing the d_{x2-y2}-wave Pomeranchuk instability by ultrasound
• Holographic RG flows with nematic IR phases
• Two-loop disorder effects on the nematic quantum criticality in $d$-wave superconductors
• Additional electron pairing in a d-wave superconductor driven by nematic order
• Quantum criticality of fermion velocities and critical temperature nearby a putative quantum phase transition in the $d$-wave superconductors
• Unconventional non-Fermi liquid state caused by nematic criticality in cuprates
• Uniaxial "nematic-like" electronic structure and Fermi surface of untwinned CaFe2As2
• Incommensurate magnetic states induced by ordering competition in $\mathrm{B}{\mathrm{a}}_{1-\mathrm{x}}\mathrm{N}{\mathrm{a}}_{\mathrm{x}}\mathrm{F}{\mathrm{e}}_2\mathrm{A}{\mathrm{s}}_2$
• Quantum critical phenomena of the excitonic insulating transition in two dimensions
• Renormalization of fermion velocity in finite temperature QED_{3}
• Critical behavior around the fixed points driven by fermion-fermion interactions and disorders in the nodal-line superconductors
• Theory of Quantum Phase Transition in Iron-based Superconductors with Half-Dirac Nodal Electron Fermi Surface