Nexus between quantum criticality and the chemical potential pinning in high-$T_c$ cuprates

Details Nexus between quantum criticality and the chemical potential pinning in high-$T_c$ cuprates Nexus between quantum criticality and the chemical potential pinning in high-$T_c$ cuprates

2005-05-04

arxiv.org/abs/cond-mat/0505100v2

Phys. Rev. B 72, 060513R (2005)

Physics

Condensed Matter

Strongly Correlated Electrons

4+ pages, 2 figures, typos corrected, version as published

Scientific paper

10.1103/PhysRevB.72.060513

For strongly correlated electrons the relation between total number of charge carriers $n_e$ and the chemical potential $\mu$ reveals for large Coulomb energy the apparently paradoxical pinning of $\mu$ within the Mott gap, as observed in high-$T_c$ cuprates. By unravelling consequences of the non-trivial topology of the charge gauge U(1) group and the associated ground state degeneracy we found a close kinship between the pinning of $\mu$ and the zero-temperature divergence of the charge compressibility $\kappa\sim\partial n_e/\partial\mu$, which marks a novel quantum criticality governed by topological charges rather than Landau principle of the symmetry breaking.

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