Sharp signature of DDW quantum critical point in the Hall coefficient of the cuprates

Details Sharp signature of DDW quantum critical point in the Hall coefficient of the cuprates Sharp signature of DDW quantum critical point in the Hall coefficient of the cuprates

2002-01-14

arxiv.org/abs/cond-mat/0201228v1

Phys. Rev. Lett. 89, 277003 (2002).

Physics

Condensed Matter

Superconductivity

5 pages, 2 eps figures

Scientific paper

10.1103/PhysRevLett.89.277003

We study the behavior of the Hall coefficient, $R_H$, in a system exhibiting $d_{{x^2}-{y^2}}$ density-wave (DDW) order in a regime in which the carrier concentration, $x$, is tuned to approach a quantum critical point at which the order is destroyed. At the mean-field level, we find that $n_{\rm Hall}=1/R_H$ evinces a sharp signature of the transition. There is a kink in $n_{\rm Hall}$ at the critical value of the carrier concentration, $x_c$; as the critical point is approached from the ordered side, the slope of $n_{\rm Hall}$ diverges. Hall transport experiments in the cuprates, at high magnetic fields sufficient to destroy superconductivity, should reveal this effect.

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