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

Abstract

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.

arXiv comment4+ pages, 2 figures, typos corrected, version as published

References in corpus (6)

• LDA energy bands, low-energy Hamiltonians, t', t'', t_{perp}(k), and J_{perp}
• Quantum phase transitions
• Non Fermi-Liquid States and Pairing of a general Model of Copper-Oxide Metals
• Doping dependent evolution of the electronic structure of La2-xSrxCuO4 in the superconducting and metallic phases
• Electronic Structure of La2-xSrxCuO4 in the Vicinity of the Superconductor-Insulator Transition
• Temperature dependent effective mass renormalization in a Coulomb Fermi liquid