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Critical doping for the onset of fermi-surface reconstruction by charge-density-wave order in the cuprate superconductor La2-xSrxCuO4

Physical Review X (2016) 6(2)
DOI: 10.1103/PhysRevX.6.021004
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Abstract

The Seebeck coefficient S of the cuprate superconductor La2-xSrxCuO4 (LSCO) was measured in magnetic fields large enough to access the normal state at low temperatures, for a range of Sr concentrations from x = 0.07 to x = 0.15. For x = 0.11, 0.12, 0.125, and 0.13, S/T decreases upon cooling to become negative at low temperatures. The same behavior is observed in the Hall coefficient RH(T). In analogy with other hole-doped cuprates at similar hole concentrations p, the negative S and RH show that the Fermi surface of LSCO undergoes a reconstruction caused by the onset of charge-density-wave modulations. Such modulations have indeed been detected in LSCO by x-ray diffraction in precisely the same doping range. Our data show that in LSCO this Fermi-surface reconstruction is confined to 0.085 < p < 0.15. We argue that in the field-induced normal state of LSCO, charge-density-wave order ends at a critical doping pCDW = 0.15 ± 0.005, well below the pseudogap critical doping p* ≃ 0.19.

Figures

  • FIG. 1. Temperature-doping phase diagram of the cuprate superconductors YBCO (a) and LSCO (b). The superconducting transition temperature Tc is drawn as a black line. CDW modulations are detected by x-ray diffraction below TCDW (green triangles) in YBCO (up triangles [11], down triangles [12]) and LSCO (up triangles [13], down triangle [14]). SDW modulations are detected by neutron diffraction below TSDW (blue squares) in YBCO [15] and LSCO [16–20]. When plotted as S=T vs T, the normal-state Seebeck coefficient peaks at a temperature Tmax (full red circles) before it drops at low temperatures because of Fermisurface reconstruction (YBCO, Ref. [6]; LSCO, this work, Figs. 3 and 4). A similar Tmax can also be defined for the Hall coefficient (open red circles), below which RHðTÞ drops at low temperatures (YBCO, Ref. [4]).
  • FIG. 2. Isotherms of the Seebeck coefficient in LSCO, plotted as S=T vs magnetic fieldH, at various temperatures, as indicated, for six samples, with x ¼ 0.07 (a), x ¼ 0.085 (b), x ¼ 0.125 (c), x ¼ 0.13 (d), x ¼ 0.144 (e), and x ¼ 0.15 (f). For x ¼ 0.125 and 0.13, S=T at high H decreases at low temperatures, to reach negative values. For x ¼ 0.144, S=T also decreases at low temperatures, below 15 K. This decrease is the signature of FSR. In contrast, for x ¼ 0.07 and 0.15, S=T at the highest measured field keeps increasing with decreasing temperature down to the lowest temperature. This shows that there is no FSR at those dopings, at least down to 4 K and 9 K, respectively. The
  • Fig. 1(b), we plot Tmax vs p for our eight samples, with
  • FIG. 4. Same as in Fig. 3, for samples with x ¼ 0.11 (yellow), x ¼ 0.12 (blue), x ¼ 0.125 (red), and x ¼ 0.13 (green), measured at H ¼ 16 T (full circles), 17.5 T (open squares), and 44 T (full squares). The data in panel (b) are normalized to their value at T ¼ 100 K. FSR is clearly observed in all four samples, as a drop in S=T at low temperature. Inset of panel (b): Isotherm at T ¼ 8 K for x ¼ 0.12, showing that S=T becomes increasingly negative with an increasing field, demonstrating that the negative S is a property of the normal state.
  • FIG. 5. Comparison of LSCO (red) and YBCO (green) at p ¼ 0.12. (a) Temperature dependence of the x-ray intensity associated with the CDW modulations, normalized at Tc, detected in LSCO [13] and YBCO [10]. Lines are a guide to the eye. The cusp is at Tc. (b) Normal-state Seebeck coefficient of LSCO (this work) and YBCO [6], measured in a magnetic field as indicated, plotted as S=T vs T. Tmax is the temperature below which S=T drops to reach negative values at low temperatures (arrow), the signature of FSR. This Tmax is plotted as full circles in Fig. 1. Lines are a guide to the eye. (c) Hall coefficient of LSCO at H ¼ 16 T and YBCO at H ¼ 15 T [2], plotted as eRH=V, where e is the electron charge and V the volume per planar Cu atom. Tmax is the temperature below which RHðTÞ drops to reach negative values at low temperatures (arrow), another signature of FSR. Tmax is plotted as open circles in Fig. 1(a) [4].

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APA

Badoux, S., Afshar, S. A. A., Michon, B., Ouellet, A., Fortier, S., LeBoeuf, D., … Taillefer, L. (2016). Critical doping for the onset of fermi-surface reconstruction by charge-density-wave order in the cuprate superconductor La2-xSrxCuO4. Physical Review X, 6(2). https://doi.org/10.1103/PhysRevX.6.021004

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