Nernst and Seebeck Coefficients of the Cuprate SuperconductorYBa$_2$Cu$_3$O$_{6.67}$: A Study of Fermi Surface Reconstruction

Abstract: The Seebeck and Nernst coefficients $S$ and $\nu$ of the cuprate superconductor YBa$2$Cu$_3$O$_y$ (YBCO) were measured in a single crystal with doping $p = 0.12$ in magnetic fields up to H = 28 T. Down to T=9 K, $\nu$ becomes independent of field by $H \simeq 30$ T, showing that superconducting fluctuations have become negligible. In this field-induced normal state, $S/T$ and $\nu/T$ are both large and negative in the $T \to 0$ limit, with the magnitude and sign of $S/T$ consistent with the small electron-like Fermi surface pocket detected previously by quantum oscillations and the Hall effect. The change of sign in $S(T)$ at $T \simeq 50$ K is remarkably similar to that observed in La${2-x}$Ba$x$CuO$_4$, La${2-x-y}$Nd$y$Sr$_x$CuO$_4$ and La${2-x-y}$Eu$_y$Sr$_x$CuO$_4$, where it is clearly associated with the onset of stripe order. We propose that a similar density-wave mechanism causes the Fermi surface reconstruction in YBCO.