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 (2)

• Magnetic order in the pseudogap phase of high-$T_C$ superconductors
• Phase diagram and critical exponents of a dissipative Ising spin chain in a transverse magnetic field