Effective theory of fluctuating circulating currents in high-Tc cuprates

Abstract

We derive an effective dissipative quantum field theory for fluctuating orbital currents in clean $Cu{O}_2$ sheets of high-$T_c$ cuprates, based on a three-band model. The Coulomb repulsion term between $Cu$- and $O$-sites is decoupled in terms of current operators representing horizontal and vertical parts of circulating currents within each $Cu{O}_2$ unit cell of the lattice. The model has ordering of currents at finite temperatures. The dissipative kernel in the model is of the form $|\omega |/|\mathbf{q}|$, indicating Landau damping. Applications of the effective theory to other models are also discussed.

5 pages, 1 figure, 16 references. To be published in Physical Review B

References in corpus (9)

• Hidden Order in the Cuprates
• Magnetic order in the pseudogap phase of high-$T_C$ superconductors
• A Theory of the Pseudogap State of the Cuprates
• Influence of Generic Scale Invariance on Classical and Quantum Phase Transitions
• Phase diagram and critical exponents of a dissipative Ising spin chain in a transverse magnetic field
• Theory of the Quantum Critical Fluctuations in Cuprates
• A model of phase fluctuations in a lattice d-wave superconductor: application to the Cooper pair charge-density-wave in underdoped cuprates
• No evidence for spontaneous orbital currents in finite size studies of three-band models for CuO planes
• The Influence of Quantum Critical Fluctuations of Circulating Current Order Parameters on the Normal State Properties of Cuprates

Cited by in corpus (8)

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• Theory of Superconductivity in the Cuprates
• Thermodynamic Properties near the onset of Loop-Current Order in high-$T_c$ superconducting cuprates
• Three distinct types of quantum phase transitions in a (2+1)-dimensional array of dissipative Josephson junctions
• Monte Carlo simulations of dissipative quantum Ising models
• Collective Modes in the Loop Current Ordered Phase of Cuprates
• Quantum criticality in a dissipative (2+1)-dimensional XY model of circulating currents in high-Tc cuprates
• Criticality of compact and noncompact quantum dissipative $Z_4$ models in $(1+1)$ dimensions