Quantum String Liquid State in LaOFeAs and Superconductivity

Abstract

Superconducting LaOFeAs family of even electron metallic systems have striking resemblance to odd electron cuprates. We suggest that this resemblance is caused by presence of two coupled 2D resonating valence bond systems in LaOFeAs . Bond charge repulsion and Hund coupling fuse the 2 species of valence bonds into closed strings with a Haldane gap, resulting in a quantum string liquid. A pair of doped holes (electrons) creates an open string and remain at the ends as holon(doublon). Charge -2e spin singlet strings condense to produce high Tc superconductivity. Higher Tc's are likely in our string route to High Tc superconductivity, when competing orders are taken care of.