Competing Orders and Quantum Phase Fluctuations on the Low-Energy Excitations and Pseudogap Phenomena of Cuprate Superconductors

Abstract

We investigate the low-energy quasiparticle excitation spectra of cuprate superconductors by incorporating both superconductivity (SC) and competing orders (CO) in the bare Green's function and quantum phase fluctuations in the proper self-energy. Our approach provides consistent explanations for various empirical observations, including the excess subgap quasiparticle density of states, ``dichotomy'' in the momentum-dependent quasiparticle coherence and the temperature-dependent gap evolution, and the presence (absence) of the low-energy pseudogap in hole- (electron-) type cuprates depending on the relative scale of the CO and SC energy gaps.

6 pages, 4 figures. Corresponding author: Nai-Chang Yeh ([email protected])

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• Observation of vortices and hidden pseudogap from scanning tunneling spectroscopic studies of electron-doped cuprate superconductor $S{r}_{0.9}L{a}_{0.1}Cu{O}_2$
• Scanning tunneling spectroscopic evidence for magnetic field-induced microscopic orders in the high-$T_c$ superconductor YBa${}_2$Cu${}_3$O${}_{7-\delta }$
• Unconventional Low-Energy Excitations of Cuprate Superconductors
• Possible Competing Order-Induced Fermi Arcs in Cuprate Superconductors
• Macroscopic evidence for quantum criticality and field-induced quantum fluctuations in cuprate superconductors
• Electromagnetic response of high-Tc superconductors -- the slave-boson and doped-carrier theories
• Spectroscopic Evidence for Competing Order-Induced Pseudogap Phenomena and Unconventional Low-Energy Excitations in High-TC Cuprate Superconductors
• Induced polarization at a paraelectric/superconducting interface
• Low temperature thermal conductivity in a d-wave superconductor with coexisting charge order: Effect of self-consistent disorder and vertex corrections
• Comparative studies of the scanning tunneling spectra in cuprate and iron-arsenide superconductors