Order parameter fluctuation and ordering competition in $\mathrm{B}{\mathrm{a}}_{1-\mathrm{x}}{\mathrm{K}}_{\mathrm{x}}\mathrm{F}{\mathrm{e}}_2\mathrm{A}{\mathrm{s}}_2$

Abstract

The competition among superconductivity, stripe-type magnetic order, and a new type of $C_4$ symmetric magnetic order in $\mathrm{B}{\mathrm{a}}_{1-\mathrm{x}}{\mathrm{K}}_{\mathrm{x}}\mathrm{F}{\mathrm{e}}_2\mathrm{A}{\mathrm{s}}_2$ is theoretically studied, focusing on its impact on the global phase diagram. By carrying out a renormalization group analysis of an effective field theory, we obtain the energy-scale dependent flows of all the model parameters, and then apply the results to understand the observed phase diagram. On the basis of the renormalization group analysis, we show that the critical line of nematic order has a negative slope in the superconducting dome and superconductivity is suppressed near the magnetic quantum critical point, which are both consistent with recent experiments. Moreover, we find that, although the observed $C_4$ symmetric magnetic state could be a charge-spin density wave or a spin-vortex crystal at high temperatures, charge-spin density wave is the only stable $C_4$ magnetic state in the low-temperature regime. Therefore, ordering competition provides a method to distinguish these two candidate $C_4$ magnetic states.

8 pages, 5 figures

References in corpus (70)

• Superconductivity in Iron Compounds
• High-temperature superconductivity in iron-based materials
• Renormalization Group Approach to Interacting Fermions
• Nematic order in iron superconductors - who is in the driver's seat?
• Gap symmetry and structure of Fe-based superconductors
• Antiferromagnetic order and spin dynamics in iron-based superconductors
• Magnetism, superconductivity, and pairing symmetry in Fe-based superconductors
• Theory of Electron Nematic Order in LaOFeAs
• Magnetism and its microscopic origin in iron-based high-temperature superconductors
• Ising and Spin orders in Iron-based Superconductors
• Nematic and meta-nematic transitions in the iron pnictides
• Anomalous suppression of the orthorhombic distortion in superconducting Ba[Fe(1-x)Cox]2As2
• Amplitude / Higgs Modes in Condensed Matter Physics
• Preemptive nematic order, pseudogap, and orbital order in the iron pnictides
• Normal-State Spin Dynamics and Temperature-Dependent Spin Resonance Energy in an Optimally Doped Iron Arsenide Superconductor
• Effects of nematic fluctuations on the elastic properties of iron arsenide superconductors
• The `Higgs' Amplitude Mode at the Two-Dimensional Superfluid-Mott Insulator Transition
• Energy gaps in high-transition temperature cuprate superconductors
• The Unexpected Properties of Alkali Metal Iron Selenide Superconductors
• Phase competition in trisected superconducting dome
• Competing order and nature of the pairing state in the iron pnictides
• In-plane electronic anisotropy of underdoped "122" Fe-arsenide superconductors revealed by measurements of detwinned single crystals
• Unconventional pairing in the iron arsenide superconductors
• Visibility of the Amplitude (Higgs) Mode in Condensed Matter
• Phase Diagram of Ba1-xKxFe2As2
• Magnetically-Driven Suppression of Nematic Order in an Iron-Based Superconductor
• Superconductivity-induced reentrance of orthorhombic distortion in Ba1-xKxFe2As2
• Magnetic degeneracy and hidden metallicity of the spin density wave state in ferropnictides
• Superconductivity and spin-density-waves in multi-band metals
• Character of the structural and magnetic phase transitions in the parent and electron doped BaFe2As2 compounds
• Low-energy microscopic models for iron-based superconductors: a review
• Double-Q spin-density wave in iron arsenide superconductors
• Interplay between magnetism and superconductivity in Fe-pnictides
• Direct spectroscopic evidence for phase competition between the pseudogap and superconductivity in Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$
• Spectral functions of the Higgs mode near two-dimensional quantum critical points
• Renormalization group theory of nematic ordering in d-wave superconductors
• The Higgs mode in a two-dimensional superfluid
• Theory of itinerant magnetic excitations in the SDW phase of iron-based superconductors
• Competing orders in FeAs layers
• Quantum Criticality in Electron-doped BaFe_{2-x}Ni_xAs_2
• Antiferromagnetic ordering in the absence of a structural distortion in Ba(Fe{1-x}Mn{x})2As2
• Renormalization group flow, competing phases, and the structure of superconducting gap in multi-band models of Iron based superconductors
• Superconductivity vs bound state formation in a two-band superconductor with small Fermi energy -- applications to Fe-pnictides/chalcogenides and doped SrTiO3
• Anomalous fluctuations in phases with a broken continuous symmetry
• Proximity of Iron Pnictide Superconductors to a Quantum Tricritical Point
• Complex phase diagram of Ba${}_{1-x}$Na${}_x$Fe${}_2$As${}_2$: a multitude of phases striving for the electronic entropy
• Competing magnetic double-Q phases and superconductivity-induced re-entrance of C2 magnetic stripe order in iron pnictides
• Vestigial chiral and charge orders from bidirectional spin-density waves: Application to the iron-based superconductors
• New Phase Induced by Pressure in the Iron-Arsenide Superconductor K-Ba122
• Tetragonal magnetic phase in Ba${}_{1-x}$K${}_x$Fe${}_2$As${}_2$ from x-ray and neutron diffraction
• Enhancement of the London penetration depth in pnictides at the onset of SDW order under superconducting dome
• Spin reorientation driven by the interplay between spin-orbit coupling and Hund's rule coupling in iron pnictides
• Microscopically derived Ginzburg-Landau theory for magnetic order in the iron pnictides
• First and second order magnetic and structural transitions in BaFe${}_{2(1-x)}$Co${}_{2x}$As${}_2$
• Stability of Quantum Critical Points in the Presence of Competing Orders
• Singularity of the London penetration depth at quantum critical points in superconductors
• Enhancing magnetic stripe order in iron pnictides by RKKY exchange interactions
• Theory of Valley-Density Wave and Hidden Order in Iron-Pnictides
• Superconductivity at the onset of spin-density-wave order in a metal
• How many quantum phase transitions exist inside the superconducting dome of the iron pnictides?
• Disorder-promoted $C_4$-symmetric magnetic order in iron-based superconductors
• Effect of magnetic criticality and Fermi-surface topology on the magnetic penetration depth
• Expansion of the tetragonal magnetic phase with pressure in the iron-arsenide superconductor Ba{1-x}KxFe2As2
• Anomalous Scaling of the Penetration Depth in Nodal Superconductors
• Suppression of superconductivity at nematic critical point in underdoped cuprates
• Charged fixed point in the Ginzburg-Landau superconductor and the role of the Ginzburg parameter $\kappa$
• Collective magnetic excitations of $C_4$ symmetric magnetic states in iron-based superconductors
• Competition between superconductivity and nematic order in high-$T_c$ superconductor
• Impact of ordering competition on the global phase diagram of iron pnictides
• Renormalization group analysis of competition between distinct order parameters

Cited by in corpus (14)

• Quantitative characterization of short-range orthorhombic fluctuations in FeSe through pair distribution function analysis
• Role of multiorbital effects in the magnetic phase diagram of iron-pnictides
• Emergent magnetic degeneracy in iron pnictides due to the interplay between spin-orbit coupling and quantum fluctuations
• Role of four-fermion interaction and impurity in the states of two-dimensional semi-Dirac materials
• Widespread orthorhombic fluctuations in the (Sr,Na)Fe${}_2$As${}_2$ family of superconductors
• Magnetic phase diagram of the iron pnictides in the presence of spin-orbit coupling: Frustration between $C_2$ and $C_4$ magnetic phases
• Large nematic susceptibility in the double-Q $C_4$ magnetic phase of Ba${}_{1-x}$Na${}_x$Fe${}_2$As${}_2$
• Competition between orthorhombic and re-entrant tetragonal phases in underdoped Ba${}_{1-x}$K${}_x$Fe${}_2$As${}_2$ probed by the response to controlled disorder
• Local Structure of Mott Insulating Iron Oxychalcogenides La${}_2$O${}_2$Fe${}_2$O$M$${}_2$ ($M$ = S, Se)
• Quantum criticality of fermion velocities and critical temperature nearby a putative quantum phase transition in the $d$-wave superconductors
• Incommensurate magnetic states induced by ordering competition in $\mathrm{B}{\mathrm{a}}_{1-\mathrm{x}}\mathrm{N}{\mathrm{a}}_{\mathrm{x}}\mathrm{F}{\mathrm{e}}_2\mathrm{A}{\mathrm{s}}_2$
• Fermion-fermion interaction driven phase transitions in rhombohedral trilayer graphene
• Critical behavior around the fixed points driven by fermion-fermion interactions and disorders in the nodal-line superconductors
• Magnetic excitations in the normal and nematic phases of iron pnictides