Test for BCS-BEC Crossover in the Cuprate Superconductors

Abstract

In this paper we address the question of whether high-temperature superconductors have anything in common with BCS-BEC crossover theory. Towards this goal, we present a proposal and related predictions which provide a concrete test for the applicability of this theoretical framework. These predictions characterize the behavior of the Ginzburg-Landau coherence length, ${\xi }_0^{\text{coh}}$, near the transition temperature $T_{\text{c}}$, and across the entire superconducting $T_{\text{c}}$ dome in the phase diagram. That we are lacking a systematic characterization of ${\xi }_0^{\text{coh}}$ in the entire class of cuprate superconductors is perhaps surprising, as it is one of the most fundamental properties of any superconductor. This paper is written to motivate further experiments and, thus, address this shortcoming. Here we show how measurements of ${\xi }_0^{\text{coh}}$ contain direct indications for whether or not the cuprates are associated with BCS-BEC crossover and, if so, where within the crossover spectrum a particular superconductor lies.

arXiv comment9 pages, 3 figures; published version

References in corpus (34)

• Magic-angle graphene superlattices: a new platform for unconventional superconductivity
• Theory of ultracold Fermi gases
• Theory of Intertwined Orders in High Temperature Superconductors
• Tunable Phase Boundaries and Ultra-Strong Coupling Superconductivity in Mirror Symmetric Magic-Angle Trilayer Graphene
• BCS-BEC Crossover: From High Temperature Superconductors to Ultracold Superfluids
• The Nernst effect in high-$T_c$ superconductors
• Highly crystalline 2D superconductors
• Field-induced superconducting phase of FeSe in the BCS-BEC cross-over
• Similarities between organic and cuprate superconductors
• BCS-BEC Crossover and the Unitary Fermi Gas
• Phase diagram of a strongly disordered s-wave superconductor, NbN, close to the metal-insulator transition
• Exotic Superconducting States in FeSe-based Materials
• Giant superconducting fluctuations in the compensated semimetal FeSe at the BCS-BEC crossover
• Gate-controlled BCS-BEC crossover in a two-dimensional superconductor
• Photoemission perspective on pseudogap, superconducting fluctuations, and charge order in cuprates: a review of recent progress
• Superconductivity in an electron band just above the Fermi level: possible route to BCS-BEC superconductivity
• Crossover between Strongly-coupled and Weakly-coupled Exciton Superfluids
• Decrease of upper critical field with underdoping in cuprate superconductors
• Superconducting transitions from the pseudogap state: d-wave symmetry, lattice, and low-dimensional effects
• Quantum vortex core and missing pseudogap in the multi-band BCS-BEC-crossover superconductor FeSe
• Preformed Cooper pairs in layered FeSe-based superconductors
• Hole Doping Dependence of the Coherence Length in $L{a}_{2-x}S{r}_{x}Cu{O}_4$ Thin Films
• Hole doping dependences of the magnetic penetration depth and vortex core size in YBa2Cu3Oy: Evidence for stripe correlations near 1/8 hole doping
• Gate-controlled low carrier density superconductors: Toward the two-dimensional BCS-BEC crossover
• Thermodynamics of transition to BCS-BEC crossover superconductivity in FeSe${}_{1-x}$S${}_x$
• Spin-charge-entangled non-Fermi liquid in a candidate material for a doped spin liquid
• Magic gap ratio for optimally robust fermionic condensation and its implications for high-Tc superconductivity
• Extraordinary $\pi$-Electron Superconductivity Emerging from a Quantum Spin Liquid
• Extent of Fermi-surface reconstruction in the high-temperature superconductor HgBa${}_2$CuO${}_{4+\delta }$
• Absence of a BCS-BEC crossover in the cuprate superconductors
• Cuprate diamagnetism in the presence of a pseudogap: Beyond the standard fluctuation formalism
• Combined effects of pairing fluctuations and a pseudogap in the Cuprate Hall effect
• Magnetotransport properties of untwinned YBa_{2}Cu_{3}O_{y} single crystals: Novel 60-K-phase anomalies in the charge transport
• Unified approach to electrical and thermal transport in high-$T_c$ superconductors

Cited by in corpus (5)

• When Superconductivity Crosses Over: From BCS to BEC
• Feshbach hypothesis of high-Tc superconductivity in cuprates
• Bypassing the lattice BCS-BEC crossover in strongly correlated superconductors: resilient coherence from multiorbital physics
• Signature of preformed pairs in angle-resolved photoemission spectroscopy
• Real-space d-wave superconductivity from weak attraction