On the size of superconducting islands on the density-wave background in organic metals

Abstract

Most high-$T_c$ superconductors are spatially inhomogeneous. Usually, this heterogeneity originates from the interplay of various types of electronic ordering. It affects various superconducting properties, such as the transition temperature, the magnetic upper critical field, the critical current, etc. In this paper, we analyze the parameters of spatial phase segregation during the first-order transition between superconductivity (SC) and a charge- or spin-density wave state in quasi-one-dimensional metals with imperfect nesting, typical of organic superconductors. An external pressure or another driving parameter increases the transfer integrals in electron dispersion, which only slightly affects SC but violates the Fermi surface nesting and suppresses the density wave (DW). At a critical pressure $P_c$, the transition from a DW to SC occurs. We estimate the characteristic size of superconducting islands during this phase transition in organic metals in two ways. Using the Ginzburg-Landau expansion, we analytically obtain a lower bound for the size of SC domains. To estimate a more specific interval of the possible size of the superconducting islands in (TMTSF)${}_2$PF${}_6$ samples, we perform numerical calculations of the percolation probability via SC domains and compare the results with experimental resistivity data. This helps to develop a consistent microscopic description of SC spatial heterogeneity in various organic superconductors.

arXiv comment11 pages, 3 figures

References in corpus (44)

• Direct observation of competition between superconductivity and charge density wave order in YBa2Cu3Oy
• Imaging the granular structure of high-Tc superconductivity in underdoped Bi2Sr2CaCu2O8+x
• Progress and perspectives on the electron-doped cuprates
• Electronic crystals: an experimental overview
• High Temperature Superconductivity in Iron Pnictides and Chalcogenides
• Inhomogeneity of charge density wave order and quenched disorder in a high Tc superconductor
• Connection between charge-density-wave order and charge transport in the cuprate superconductors
• Charge ordering in the electron-doped superconductor Nd2-xCexCuO4
• Momentum-dependent charge correlations in YBa${}_2$Cu${}_3$O${}_{6+\delta }$ superconductors probed by resonant x-ray scattering: Evidence for three competing phases
• Electronic Structure and Superconductivity of FeSe-Related Superconductors
• Using controlled disorder to probe the interplay between charge order and superconductivity in NbSe2
• Inhomogeneous superconductivity and the "pseudogap state of novel superconductors
• Observation of two types of charge density wave orders in superconducting La${}_{2-x}$Sr${}_x$CuO${}_4$
• Enhancement of Superconducting Transition Temperature due to the strong Antiferromagnetic Spin Fluctuations in Non-centrosymmetric Heavy-fermion Superconductor CeIrSi3 :A 29Si-NMR Study under Pressure
• Imaging nanoscale Fermi surface variations in an inhomogeneous superconductor
• Synchrotron x-ray scattering study of charge-density-wave order in HgBa${}_2$CuO${}_{4+\delta }$
• Coexistence of Superconductivity and Spin Density Wave orderings in the organic superconductor (TMTSF)_2PF_6
• Sixfold enhancement of superconductivity in a tunable electronic nematic system
• Microscopic theory of spin-triplet $f$-wave pairing in quasi-1D organic superconductors
• From charge- and spin-ordering to superconductivity in the organic charge-transfer solids
• Correlation between Fermi surface transformations and superconductivity in the electron-doped high-$T_c$ superconductor Nd${}_{2-x}$Ce${}_x$CuO${}_4$
• Microscopic theory of the pseudogap and Peierls transition in quasi-one-dimensional materials
• Coexistence of Superconductivity and Antiferromagnetism Probed by Simultaneous NMR and Electrical Transport in (TMTSF)2PF6
• Enhancement of superconductivity at the onset of charge-density-wave order in a metal
• Domain walls at the spin density wave endpoint of the organic superconductor (TMTSF)2PF6 under pressure
• Superconductivity in the charge-density-wave state of the organic metal α-(BEDT-TTF)2KHg(SCN)4
• Odd-frequency pairing in (TMTSF)2ClO4
• Enhanced superconducting pairing strength near a nonmagnetic nematic quantum critical point
• Soliton phase near antiferromagnetic quantum critical point in Q1D conductors
• Gossamer bulk high-temperature superconductivity in FeSe
• Coexistence of Superconductor and Spin-Density Wave in (TMTSF)2ClO4: Spatial Structure of the Two-phase State
• Nature of superconducting state in the new phase in (TMTSF)${}_2$PF${}_6$ under pressure
• Properties of superconductivity on the density wave background with small ungapped Fermi surface pockets
• Crossover from impurity-controlled to granular superconductivity in (TMTSF)2ClO4
• Conductivity of anisotropic inhomogeneous superconductors above critical temperature
• Experimental evidence for Zeeman spin-orbit coupling in layered antiferromagnetic conductors
• Quantum Hall Transitions in (TMTSF)${}_2$PF${}_6$
• Enhancement of superconductivity by pressure-induced critical ferromagnetic fluctuations in UCoGe
• Superconductivity on the density wave background with soliton-wall structure
• Role of Anion Ordering in the Coexistence of Spin-Density-Wave and Superconductivity in (TMTSF)2ClO4
• Anisotropic zero-resistance onset in organic superconductors
• Fermi surface properties of the bifunctional organic metal $\kappa$-(BETS)${}_2$Mn[N(CN)${}_2$]${}_3$ near the metal--insulator transition
• Coherent heavy charge carriers in an organic conductor near the bandwidth-controlled Mott transition
• Inhomogeneous superconductivity onset in FeSe studied by transport properties

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• First-order phase transition between superconductivity and charge/spin-density wave as the reason of their coexistence in organic metals
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