The role of the pseudogap in cuprate superconductors revealed by the Hall effect

Abstract

Cuprate high-temperature superconductors are known to have a normal-state pseudogap but, after many years of intense research, its relation to the superconductivity is still a mystery. Similarly, the in-plane Hall coefficient $R_{\mathrm{H}}$ has a large temperature variation caused by changes in the carrier density which is also a long-standing puzzle. We approach both problems by a kinetic theory of phase separation that reproduces the charge density wave by a free energy array of potential wells. The charge modulation favors local hole-hole attraction yielding local superconducting pairs and a transition by long-range phase order at $T_{\mathrm{c}}$. As the temperature increases the modulations decrease and the charge density increases by thermal activation. This approach reproduces the $R_{\mathrm{H}}$ of La${}_{2-x}$Sr${}_x$CuO${}_4$ compounds of $x=0.0-0.25$ and clarifies the role of the pseudogap and the disorder in cuprates.

Latex 4 pages and two figures

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