The origins of macroscopic quantum coherence in high temperature super conductivity
arXiv:1410.3659 · doi:10.1016/j.physc.2015.04.006
Abstract
A new, theoretical approach to macroscopic quantum coherence and superconductivity in the p-type (hole doped) cuprates is proposed. The theory includes mechanisms to account for e-pair coupling in the superconducting and pseudogap phases and their inter relations observed in these materials. Electron pair coupling in the superconducting phase is facilitated by local quantum potentials created by static dopants in a mechanism which explains experimentally observed optimal doping levels and the associated peak in critical temperature. By contrast, evidence suggests that electrons contributing to the pseudogap are predominantly coupled by fractal spin waves (fractons) induced by the fractal arrangement of dopants. On another level, the theory offers new insights into the emergence of a macroscopic quantum potential generated by a fractal distribution of dopants. This, in turn, leads to the emergence of coherent, macroscopic spin waves and a second associated macroscopic quantum potential, possibly supported by charge order. These quantum potentials play two key roles. The first involves the transition of an expected diffusive process (normally associated with Anderson localization) in fractal networks, into e-pair coherence. The second involves the facilitation of tunnelling between localized e-pairs. These combined effects lead to the merger of the super conducting and pseudo gap phases into a single coherent condensate at optimal doping. The underlying theory relating to the diffusion to quantum transition is supported by Coherent Random Lasing, which can be explained using an analogous approach. As a final step, an experimental program is outlined to validate the theory and suggests a new approach to increase the stability of electron pair condensates at higher temperatures.
arXiv comment39 pages, 4 figures
References in corpus (33)
- Angle-resolved photoemission spectroscopy of the cuprate superconductors
- Evidence for ubiquitous strong electron-phonon coupling in high-temperature superconductors
- Direct observation of competition between superconductivity and charge density wave order in YBa2Cu3Oy
- Discovery of microscopic electronic inhomogeneity in the high-Tc superconductor Bi2Sr2CaCu2O8+x
- Quantum Magnetic Excitations from Stripes in Copper-Oxide Superconductors
- Charge order driven by Fermi-arc instability in Bi2201
- The pseudogap: friend or foe of high Tc?
- Two Gaps Make a High Temperature Superconductor?
- How Cooper pairs vanish approaching the Mott insulator in Bi2Sr2CaCu2O8+d
- An unusual isotope effect in a high-transition-temperature superconductor
- Scale-free structural organization of oxygen interstitials in La2CuO4+y
- Simultaneous Transitions in Cuprate Momentum-Space Topology and Electronic Symmetry Breaking
- Charge ordering in the electron-doped superconductor Nd2-xCexCuO4
- Evolution and Control of Oxygen Order in a Cuprate Superconductor
- Visualizing the emergence of the pseudogap state and the evolution to superconductivity in a lightly hole-doped Mott insulator
- Optimum inhomogeneity of local lattice distortions in La2CuO4+y
- High Temperature Superconductivity: Ineluctable Complexity
- Mechanism of High Temperature Superconductivity in a striped Hubbard Model
- Anderson localization vs. Mott-Hubbard metal-insulator transition in disordered, interacting lattice fermion systems
- Derivation of the postulates of quantum mechanics from the first principles of scale relativity
- Fracton pairing mechanism for "strange" superconductors: Self-assembling organic polymers and copper-oxide compounds
- Generalized quantum potentials in scale relativity
- Experimental evidence of a fractal dissipative regime in high-T_c superconductors
- Universal Disorder in Bi2Sr2CaCu2O8+x
- Strong Coupling of the Iron-Quadrupole and Anion-Dipole Polarizations in Ba(FeCo)As
- The role of quantum recurrence in superconductivity, carbon nanotubes and related gauge symmetry breaking
- Theoretical understanding of the quasiparticle dispersion in bilayer high- superconductors
- Coherent Random Lasing and "Almost Localized" Photon Modes
- Electron-phonon interaction enhanced by antiferromagnetic and superconducting fluctuations in cuprate oxide superconductors
- Recent Advances in High-Temperature Superconductivity
- Magnon Wave-function and Impurity Effects in S=1 Antiferromagnetic Chains: A Large-n Approach
- Slow fracton modes in antiferromagnetic correlations of high-Tc superconductors
- Fracton Superconductivity in Quasicrystals --- A Theoretical Possibility Suggested by Experiment