Condensation Energy and Spectral Functions in High Temperature Superconductors

A pairing gap and coherence are the two hallmarks of superconductivity. In a classical BCS superconductor they are established simultaneously at Tc. In the cuprates, however, an energy gap (pseudogap) extends above Tc. The origin of this gap is one of the central issues in high temperature superconductivity. Recent experimental evidence demonstrates that the pseudogap and the superconducting gap are associated with different energy scales. It is however not clear whether they...

Recent angle-resolved photoemission (ARPES) studies of the high Tc superconductors are reviewed. Amongst the topics discussed are: the spectral function interpretation of ARPES data and sum rules; studies of the momentum distribution and the Fermi surface (FS); dispersion of electronic states, flat bands and superlattice effects; unusual lineshapes and their temperature dependence; the question of bilayer splitting; detailed studies of the superconducting gap and its anisotro...

Recently there has been an accumulation of experimental evidence in the high temperature superconductors suggesting the relevance of electron-phonon coupling in these materials. These findings challenge some well-held beliefs of what electron-phonon interactions can and cannot do. In this article we review evidence primarily from angle-resolved photoemission (ARPES) measurements which point out the importance of electronic coupling to certain phonon modes in the cuprates.

The pursuit of a comprehensive understanding of the dynamical nature of intertwined orders in quantum matter has fueled the development of several new experimental techniques, including time- and angle-resolved photoemission spectroscopy (TR-ARPES). In this regard, the study of copper-oxide high-temperature superconductors, prototypical quantum materials, has furthered both the technical advancement of the experimental technique, as well as the understanding of their correlat...

Angle resolved photoemission experiments by Kanigel, et al (cond-mat/0605499) [Nature Physics 2, 447 (2006)] have made a remarkable observation that low energy electronic excitations in the normal state of underdoped cuprate superconductors exist on open ``Fermi arcs'' instead of a closed Fermi surface. These arcs shrink upon cooling, with the arc length appearing to extrapolate to nodal points at zero temperature. We show that this striking non-Fermi liquid behavior could re...

Recently, angle-resolved photoemission spectroscopy has been used to highlight an anomalously large band renormalization at high binding energies in cuprate superconductors: the high energy "waterfall" or high energy anomaly (HEA). The anomaly is present for both hole- and electron-doped cuprates as well as the half-filled parent insulators with different energy scales arising on either side of the phase diagram. While photoemission matrix elements clearly play a role in chan...

Fully describing the single particle spectral function observed for high temperature superconduc- tors in the normal state is an important goal, yet unachieved. Here, we present a phenomenological model that demonstrates the capability to meet such a goal. The model results from employing key phenomenological improvement of the so-called extremely correlated Fermi liquid (ECFL) model, and is shown to successfully describe the data as a function of momentum as well as energy, ...

The formation of Cooper pairs, a bound state of two electrons of opposite spin and momenta by exchange of a phonon [1], is a defining feature of conventional superconductivity. In the cuprate high temperature superconductors, even though it has been established that the superconducting state also consists of Cooper pairs, the pairing mechanism remains intensely debated. Here we investigate superconducting pairing in the Bi2Sr2CaCu2O8+\delta (Bi2212) cuprate by employing spect...

he relationship between photoemission spectra of high-$T_{\textrm{c}}$ cuprates and their thermodynamic and transport properties are discussed. The doping dependence of the expected quasi-particle density at the Fermi level ($E_\mathrm{F}$) are compared with the electronic specific heat coefficient $\gamma$ and that of the spectral weight at $E_\mathrm{F}$ with the in-plane and out-of-plane superfluid density. We have estimated the electrical resistivity of underdoped cuprate...

In order to understand the origin of high-temperature superconductivity in copper oxides, we must understand the normal state from which it emerges. Here, we examine the evolution of the normal state electronic excitations with temperature and carrier concentration in Bi2Sr2CaCu2O8 using angle-resolved photoemission. In contrast to conventional superconductors, where there is a single temperature scale Tc separating the normal from the superconducting state, the high- tempera...