Quantum critical point shifts under superconductivity: the pnictides and the cuprates

Abstract

We compare the position of an ordering transition in a metal to that in a superconductor. For the spin density wave (SDW) transition, we find that the quantum critical point shifts by order |Delta|, where Delta is pairing amplitude, so that the region of SDW order is smaller in the superconductor than in the metal. This shift is larger than the ~ |Delta|^2 shift predicted by theories of competing orders which ignore Fermi surface effects. For Ising-nematic order, the shift from Fermi surface effects remains of order |Delta|^2. We discuss implications of these results for the phase diagrams of the cuprates and the pnictides. We conclude that recent observations imply that the Ising-nematic order is tied to the square of the SDW order in the pnictides, but not in the cuprates.

arXiv comment11 pages, 8 figures

References in corpus (38)

• Unconventional sign-reversing superconductivity in LaFeAsO_(1-x)F_x
• Theory of Electron Nematic Order in LaOFeAs
• An Intrinsic Bond-Centered Electronic Glass with Unidirectional Domains in Underdoped Cuprates
• Intra-unit-cell electronic nematicity of the high-Tc copper-oxide pseudogap states
• Broken rotational symmetry in the pseudogap phase of a high-Tc superconductor
• Effects of Co substitution on thermodynamic and transport properties and anisotropic $H_{c2}$ in Ba(Fe${}_{1-x}$Co${}_x$)${}_2$As${}_2$ single crystals
• Antiferromagnetic Order Induced by an Applied Magnetic Field in a High-Temperature Superconductor
• Electronic liquid crystal state in the high-temperature superconductor YBCO(6.45)
• Ising and Spin orders in Iron-based Superconductors
• Quantum phase transitions of metals in two spatial dimensions: II. Spin density wave order
• Anomalous suppression of the orthorhombic distortion in superconducting Ba[Fe(1-x)Cox]2As2
• Pairing Symmetry in a Two-Orbital Exchange Coupling Model of Oxypnictides
• Charge density wave origin of cuprate checkerboard visualized by scanning tunneling microscopy
• Spin ordering quantum transitions of superconductors in a magnetic field
• Contrasting Spin Dynamics Between Underdoped and Overdoped Ba(Fe[1-x]Co[x])2As2
• Unconventional pairing in the iron arsenide superconductors
• Unconventional superconductivity and antiferromagnetic quantum critical behavior in the isovalent-doped BaFe2(As1-xPx)2
• Quantum phase transitions in d-wave superconductors
• Competing orders in a magnetic field: spin and charge order in the cuprate superconductors
• Spin susceptibility, phase diagram, and quantum criticality in the electron-doped high Tc Superconductor Ba[Fe(1-x)Co(x)]2As2
• Tuning competing orders in La2-xSrxCuO4 cuprate superconductors by the application of an external magnetic field
• Algebraic charge liquids
• Two-gap superconductivity in Ba_1-xK_xFe_2As_2: A complementary study of the magnetic penetration depth by \muSR and ARPES
• Renormalization group theory of nematic ordering in d-wave superconductors
• Theory of the nodal nematic quantum phase transition in superconductors
• Evidence for two-gap superconductivity in (Ba,K)Fe_2As_2 by directional point contact Andreev reflection spectroscopy
• Competition between spin density wave order and superconductivity in the underdoped cuprates
• Where is the quantum critical point in the cuprate superconductors?
• Field-induced transition between magnetically disordered and ordered phases in underdoped La(2-x)SrxCuO4
• Fluctuating spin density waves in metals
• Evidence for an incommensurate magnetic resonance in La(2-x)Sr(x)CuO(4)
• Renormalization group analysis of quantum critical points in d-wave superconductors
• Hole dynamics in an antiferromagnet across a deconfined quantum critical point
• Field-induced soft-mode quantum phase transition in La${}_{1.855}$Sr${}_{0.145}$CuO${}_4$
• Paired electron pockets in the hole-doped cuprates
• The Electronic Phase Diagram of the Iron-based High Tc Superconductor Ba(Fe(1-x)Co(x))2As2 Under Hydrostatic Pressure (0 < x <0.099)
• Nodal quasiparticles and the onset of spin density wave order in the cuprates
• Spin-density-wave order in cuprates

Cited by in corpus (30)

• A Common Thread: the pairing interaction for the unconventional superconductors
• Energy gaps in high-transition temperature cuprate superconductors
• Phase competition in trisected superconducting dome
• Charge-density-wave order with momentum $(2Q,0)$ and $(0,2Q)$ within the spin-fermion model: continuous and discrete symmetry breaking, preemptive composite order, and relation to pseudogap in hole-doped cuprates
• Sign-problem-free quantum Monte Carlo of the onset of antiferromagnetism in metals
• Charge Nematicity and Electronic Raman Scattering in Iron-based Superconductors
• Direct spectroscopic evidence for phase competition between the pseudogap and superconductivity in Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$
• Instabilities near the onset of spin density wave order in metals
• Critical Quadrupole Fluctuations and Collective Modes in Iron Pnictide Superconductors
• Quantum critical properties of a metallic spin density wave transition
• Electron scattering, charge order, and pseudogap physics in La${}_{1.6-x}$Nd${}_{0.4}$Sr${}_x$CuO${}_4$: An angle resolved photoemission spectroscopy study
• Phase diagram of iron-pnictides if doping acts as a disorder
• Enhancement of the London penetration depth in pnictides at the onset of SDW order under superconducting dome
• Stability of Quantum Critical Points in the Presence of Competing Orders
• How many quantum phase transitions exist inside the superconducting dome of the iron pnictides?
• Competition between superconductivity and nematic order : anisotropy of superconducting coherence length
• Locating the pseudogap closing point in cuprate superconductors: absence of entrant or reentrant behavior
• Suppression of superconductivity at nematic critical point in underdoped cuprates
• Monte Carlo study of the pseudogap and superconductivity emerging from quantum magnetic fluctuations
• Quasiclassical description of a superconductor with a spin density wave
• Topological Phase Transitions in Line-nodal Superconductors
• Exotic Superconductivity Through Bosons in a Dynamical Cluster Approximation
• Controlling competing orders via non-equilibrium acoustic phonons: emergence of anisotropic electronic temperature
• Competition between superconductivity and nematic order in high-$T_c$ superconductor
• Impact of ordering competition on the global phase diagram of iron pnictides
• Strong Correlation between Anomalous Quasiparticle Scattering and Unconventional Superconductivity in Hidden Order Phase of URu${}_2$Si${}_2$
• Two-loop disorder effects on the nematic quantum criticality in $d$-wave superconductors
• Observation of pseudogap in MgB2
• Quantum criticality of fermion velocities and critical temperature nearby a putative quantum phase transition in the $d$-wave superconductors
• Competing Orders and Anomalies