The absence of Ginzburg-Landau mechanism for vestigial order in the normal phase above a two-component superconductor

Abstract

A two-component superconductor may hypothetically support a vestigial order phase above its superconducting transition temperature, with rotational or time-reversal symmetry spontaneously broken while remain non-superconducting. This has been suggested as an explanation to the observed normal state nematicity of the nematic superconductor $M_x$Bi${}_2$Se${}_3$. We examine the condition for this vestigial order to occur within Ginzburg-Landau theory with order parameter fluctuations, on both the nematic and chiral sides of the theory. Contrary to prior theoretical results, we rule out a large portion of parameter space for possible vestigial order. We argue that very extreme anisotropy is one prerequisite for a stable vestigial phase, which is likely not met in real materials.

arXiv comment14 pages, 7 figures; the accepted version

References in corpus (41)

• Observation of topological order in a Superconducting doped topological insulator (based on the Bi2Se3 class)
• A superconductor to superfluid phase transition in liquid metallic hydrogen
• The Order Parameter for the Superconducting Phases of UPt${}_3$
• Spin-Rotation Symmetry Breaking in the Superconducting State of CuxBi2Se3
• Bulk superconducting phase with a full energy gap in the doped topological insulator Cu_xBi_2Se_3
• Thermodynamic evidence for nematic superconductivity in Cu${}_x$Bi${}_2$Se${}_3$
• Odd-parity topological superconductor with nematic order: Application to CuxBi2Se3
• Intertwined vestigial order in quantum materials: nematicity and beyond
• Nonperturbative renormalization group approach to frustrated magnets
• Commensurate Two-Component Bosons in Optical Lattice: Groundstate Phase Diagram
• Rotational Symmetry Breaking in a Trigonal superconductor Nb-doped Bi2Se3
• Nonperturbative renormalization for 2PI effective action techniques
• Renormalization in Self-Consistent Approximations schemes at Finite Temperature I: Theory
• Evolution of the fermi surface of a doped topological insulator with carrier concentration
• Quartic metal: Spontaneous breaking of time-reversal symmetry due to four-fermion correlations in Ba${}_{1-x}$K${}_x$Fe${}_2$As${}_2$
• Renormalization of Φ-derivable approximations in scalar field theories
• Odd-parity superconductors with two-component order parameters: nematic and chiral, full gap and Majorana node
• Nematic superconductivity in doped Bi2Se3 topological superconductors
• Phase transitions in a three dimensional $U(1)\times U(1)$ lattice London superconductor: Metallic superfluid and charge-4e superconducting states
• Vestigial nematic order and superconductivity in the doped topological insulator Cu${}_x$Bi${}_2$Se${}_3$
• Time reversal symmetry breakdown in normal and superconducting states in frustrated three-band systems
• Identification of nematic superconductivity from the upper critical field
• $Z_3$-vestigial nematic order due to superconducting fluctuations in the doped topological insulator Nb${}_x$Bi${}_2$Se${}_3$ and Cu${}_x$Bi${}_2$Se${}_3$
• Chiral transitions in three-dimensional magnets and higher order ε-expansion
• Structural distortion behind the nematic superconductivity in Sr${}_x$Bi${}_2$Se${}_3$
• Nematic Skyrmions in Odd-Parity Superconductors
• Phase transitions and anomalous normal state in superconductors with broken time reversal symmetry
• Quasi-particle evidence for the nematic state above $T_{\mathrm{c}}$ in Sr${}_x$Bi${}_2$Se${}_3$
• Uniaxial-strain Control of Nematic Superconductivity in Sr${}_x$Bi${}_2$Se${}_3$
• Nanocalorimetric Evidence for Nematic Superconductivity in the Doped Topological Insulator Sr${}_{0.1}$Bi${}_2$Se${}_3$
• Superconductivity-Induced Ferromagnetism and Weyl Superconductivity in Nb-doped Bi${}_2$Se${}_3$
• Fluctuation and strain effects in a chiral $p$-wave superconductor
• Chiral Higgs Mode in Nematic Superconductors
• Link between superconductivity and a Lifshitz transition in intercalated Bi${}_2$Se${}_3$
• Chiral Superconductivity in Thin Films of doped Bi${}_2$Se${}_3$
• Signatures of Nematic Superconductivity in Doped Bi${}_2$Se${}_3$ under Applied Stress
• Half Quantum Vortices in Nematic Superconductor
• Bosonic self-energy functional theory
• Nematic superconductivity in topological insulators induced by hexagonal warping
• Breaking of Ginzburg-Landau description in the temperature dependence of the anisotropy in the nematic superconductor
• Shear Modulus Anomaly of Unconventional Superconductor in a Symmetry Breaking Field

Cited by in corpus (2)

• Cascade of vestigial orders in two-component superconductors: nematic, ferromagnetic, s-wave charge-4e, and d-wave charge-4e states
• Revisiting vestigial order in nematic superconductors: gauge-field mechanisms and model constraints