Novel quantum criticality due to emergent topological conservation law in high-$T_c$ cuprates

Details Novel quantum criticality due to emergent topological conservation law in high-$T_c$ cuprates Novel quantum criticality due to emergent topological conservation law in high-$T_c$ cuprates

2006-05-18

arxiv.org/abs/cond-mat/0605453v1

Physica B 378-380 (2006) 135

Physics

Condensed Matter

Strongly Correlated Electrons

2 pages, SCES '05, Vienna

Scientific paper

10.1016/j.physb.2006.01.262

We argue that in strongly correlated electron system collective instanton excitations of the phase field (dual to the charge) arise with a great degree of stability, governed by gauge flux changes by an integer multiple of $2\pi$. By unraveling consequences of the non-trivial topology of the charge gauge U(1) group, we found that the pinning of $\mu$ and the zero-temperature divergence of charge compressibility $\kappa\sim\partial n_e/\partial\mu$ defines novel "hidden" quantum criticality on verge of the Mott transition governed by the protectorate of stable topological numbers rather than Landau paradigm of the symmetry breaking.

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