Sharp Signature of a dx2−y2 Quantum Critical Point in the Hall Coefficient of Cuprate Superconductors
Sudip Chakravarty, Chetan Nayak, Sumanta Tewari, Xiao Yang
DOI 10.1103/PhysRevLett.89.277003 · Physical Review Letters
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Abstract
We study the behavior of the Hall coefficient, RH, in a system exhibiting dx2−y2 density-wave 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 nHall=1/RH evinces a sharp signature of the transition. There is a kink in nHall at the critical value of the carrier concentration, xc; as the critical point is approached from the ordered side, the slope of nHall diverges. Hall transport experiments in the cuprates, at high magnetic fields sufficient to destroy superconductivity, should reveal this effect.
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