Theory of the Quantum Critical Fluctuations in Cuprates

Abstract

The statistical mechanics of the time-reversal and inversion symmetry breaking order parameter, possibly observed in the pseudogap region of the phase diagram of the Cuprates, can be represented by the Ashkin-Teller model. We add kinetic energy and dissipation to the model for a quantum generalization and show that the correlations are determined by two sets of charges, one interacting locally in time and logarithmically in space and the other locally in space and logarithmically in time. The quantum critical fluctuations are derived and shown to be of the form postulated in 1989 to give the marginal fermi-liquid properties. The model solved and the methods devised are likely to be of interest also to other quantum phase transitions.

References in corpus (3)

• Magnetic order in the pseudogap phase of high-$T_C$ superconductors
• Dissipation, topology, and quantum phase transition in a one-dimensional Joesphson junction array
• Floating phase in a dissipative Josephson junction array

Cited by in corpus (19)

• Electrodynamics of Correlated Electron Materials
• Pairing State with a time-reversal symmetry breaking in FeAs based superconductors
• Numerical analysis of three-band models for CuO planes as candidates for a spontaneous T violating orbital current phase
• Thermodynamic Properties near the onset of Loop-Current Order in high-$T_c$ superconducting cuprates
• Quantum criticality in spin chains with non-ohmic dissipation
• Universality of the single-particle spectra of cuprate superconductors
• Local Quantum Criticality in the Two-dimensional Dissipative Quantum XY Model
• Long Wavelength Correlations and Transport in a Marginal Fermi Liquid
• Quantum criticality in two dimensions and Marginal Fermi Liquid
• Monte Carlo simulations of dissipative quantum Ising models
• Three distinct types of quantum phase transitions in a (2+1)-dimensional array of dissipative Josephson junctions
• Effective theory of fluctuating circulating currents in high-Tc cuprates
• Critical behavior of the spin correlation function in Ashkin-Teller and Baxter models with a line defect
• Optics clues to pairing glues in high T${}_c$ cuprates
• Spin correlation function in 2D statistical mechanics models with inhomogeneous line defects
• Monte Carlo simulations of the disordered three-color quantum Ashkin-Teller chain
• Dynamic charge order from strong correlations in the cuprates
• Quantum-critical resistivity of strange metals in a magnetic field
• Comments on the d-wave pairing mechanism for cuprate high $T_c$ superconductors: Higher is different?