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Normal state specific heat in the cuprate superconductors La2−xSrxCuO4 and Bi2+ySr2−x−yLaxCuO6+δ near the critical point of the pseudogap phase

C. Girod, D. LeBoeuf, A. Demuer, G. Seyfarth, S. Imajo, K. Kindo, Y. Kohama, M. Lizaire, A. Legros, A. Gourgout, H. Takagi, T. Kurosawa, M. Oda, N. Momono, J. Chang, S. Ono, G.-q. Zheng, C. Marcenat, L. Taillefer, T. Klein

DOI 10.1103/PhysRevB.103.214506 · Physical Review B

T1

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Abstract

The specific heat C of the cuprate superconductors La2−xSrxCuO4 and Bi2+ySr2−x−yLaxCuO6+δ was measured at low temperatures (down to 0.5 K) for dopings p close to p★, the critical doping for the onset of the pseudogap phase. A magnetic field up to 35 T was applied to suppress superconductivity, giving direct access to the normal state at low temperatures, and enabling a determination of Ce, the electronic contribution to the normal-state specific heat at T→0. In La2−xSrxCuO4 at x=p=0.22, 0.24 and 0.25, Ce/T=15to16mJmol−1K−2 at T=2K, values that are twice as large as those measured at higher doping (p>0.3) and lower doping (p<0.15). This confirms the presence of a broad peak in the doping dependence of Ce at p★≃0.19 as previously reported for samples in which superconductivity was destroyed by Zn impurities. Moreover, at those three dopings, we find a logarithmic growth as T→0 such that Ce/T∼Bln(T0/T). The peak versus p and the logarithmic dependence versus T are the two typical thermodynamic signatures of quantum criticality. In the very different cuprate Bi2+ySr2−x−yLaxCuO6+δ, we again find that Ce/T∼Bln(T0/T) at p≃p★, strong evidence that this ln(1/T) dependence of the electronic specific heat—first discovered in the cuprates La1.8−xEu0.2SrxCuO4 and La1.6−xNd0.4SrxCuO4—is a universal property of the pseudogap critical point.

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FormulaReported Tc (K)Pressure (GPa)Type
Bi2+ySr2-x-yLaxCuO6+δ

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11.5Pressure not reportedunknown
Bi2+ySr2-x-yLaxCuO6+δ

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10Pressure not reportedunknown
Bi2+ySr2-x-yLaxCuO6+δ

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13.5Pressure not reportedunknown
Bi2+ySr2-x-yLaxCuO6+δ

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18Pressure not reportedunknown
La2-xSrxCuO4

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20Pressure not reportedunknown
La2-xSrxCuO4

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25Pressure not reportedunknown
La2-xSrxCuO4

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16Pressure not reportedunknown
La2-xSrxCuO4

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Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula.

15Pressure not reportedunknown

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