Pebbles in the nodal pond

Zaanen, Jan

doi:10.1038/422569a

Cited by 10 publications

(7 citation statements)

References 10 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Optically pumped magnetometers (OPMs) ( Kominis et al, 2003 ) have also been introduced for brain recordings although their use in large multichannel instruments is still under exploration ( Boto et al, 2017 ; Boto et al, 2018 ). OPMs are less sensitive than the traditional SQUIDs, but because they can be positioned directly on the scalp and thereby closer to the neural sources, the measured signals will be larger and higher spatial frequencies can be sampled.…”

Section: Acquisition and Analysis Of Meg Signalsmentioning

confidence: 99%

IFCN-endorsed practical guidelines for clinical magnetoencephalography (MEG)

Hari

Baillet

Barnes

et al. 2018

Clinical Neurophysiology

126

102

View full text Add to dashboard Cite

show abstract

Section: Acquisition and Analysis Of Meg Signalsmentioning

confidence: 99%

IFCN-endorsed practical guidelines for clinical magnetoencephalography (MEG)

Hari

Baillet

Barnes

et al. 2018

Clinical Neurophysiology

126

102

View full text Add to dashboard Cite

show abstract

“…The presence of sharp peaks in the power spectrum of the differential conductance maps taken from the d-wave superconducting state at low temperatures is a clear-cut demonstration of the existence of the Bogoliubov quasiparticles as sharp, phasecoherent excitations. 30 This fact is corroborated by evidence from ARPES suggesting that the excitations in the superconducting state at optimal doping are long-lived, unlike those in the normal state at the same doping. [11][12][13][14][15] These peaks in the power spectrum behave exactly as the heuristic "octet model" suggests.…”

Section: Introductionmentioning

confidence: 79%

Self-energies and quasiparticle scattering interference

Sulangi

Zaanen

2018

Phys. Rev. B

Self Cite

View full text Add to dashboard Cite

The cuprate high-temperature superconductors are known to host a wide array of effects due to interactions and disorder. In this work, we look at some of the consequences of these effects which can be visualized by scanning tunneling spectroscopy in order to provide a guide for future experiments. These interaction and disorder effects can be incorporated into a mean-field description by means of a self-energy appearing in the Green's function. We first examine the quasiparticle scattering interference (QPI) spectra in the superconducting state at optimal doping as temperature is increased. Assuming agreement with angle-resolved photoemission experiments which suggest that the scattering rate depends on temperature, resulting in the filling of the d-wave gap, we find that the peaks predicted by the octet model become progressively smeared as temperature is increased. When the scattering rate is of the same order of magnitude as the superconducting gap, the spectral function shows Fermi-arc-like patterns, while the power spectrum of the local density of states shows the destruction of the octet-model peaks. We next consider the normal state properties of the optimally-doped cuprates. We model this by adding a marginal Fermi liquid (MFL) self-energy to the normal-state propagator, and consider the dependence of the QPI spectra on frequency, temperature, and doping. We demonstrate that the MFL self-energy leads to a smearing of the caustics appearing in the normal-state QPI power spectrum as either temperature or frequency is increased at fixed doping. The smearing is found to be more prominent in the MFL case than in an ordinary Fermi liquid. We also consider the case of a marginal Fermi liquid with a strongly momentum-dependent self-energy which gives rise to a visible "nodal-antinodal" dichotomy at the normal state, and discuss how the spectra as seen in ARPES and STS differ from both an isotropic metal and a broadened d-wave superconductor. Finally, we discuss how these results become modified in the presence of weak distributed disorder and finite-temperature smearing.

show abstract

“…The electronic state in one of our microscopically derived solutions corresponds to the dynamical stripe state mentioned in some pioneering works. [14][15][16][17] In our 2D model, the electrons cannot have the long-range order at finite temperature because of the strong fluctuation characteristic of low-dimensionality. However, in three-dimensional real materials, the spatially inhomogeneous fluctuation may tend to have the long-range order and form the striped state, observed in the neutron scattering experiments.…”

Section: Discussionmentioning

confidence: 99%

“…The stripe with such strong fluctuations in metallic state is called a dynamical stripe. [14][15][16][17] The angle resolved photo-emission spectroscopy (ARPES) shows that the stripes in Bi 2 Sr 2 CaCu 2 O 8+δ has more dynamic character than those in La 2−x Sr x CuO 4 . The discrimination whether the stripe is static or dynamic is to be judged from the characteristic energy of the fluctuation mode.…”

Section: Introductionmentioning

confidence: 99%

Metallic State of the Three-Band Hubbard Model with Super-Lattice Structure

2006

View full text Add to dashboard Cite

We investigate the dynamical superlattice correlation in the two-dimensional three-band Hubbard model on the basis of the unrestricted fluctuation exchange approximation. We calculate the one-particle spectral function, the spin correlation function and the charge correlation function at finite temperature. We find that some experimental results can be reproduced consistenly by taking inhomogenous distribution of Cu 3d electrons into account.The correlation functions suggest that several kinds of instabilities with spatial inhomogenieties exist in some regions, where these instabilities significantly affect the one-particle spectral fuctions.

show abstract

Pebbles in the nodal pond

Cited by 10 publications

References 10 publications

IFCN-endorsed practical guidelines for clinical magnetoencephalography (MEG)

IFCN-endorsed practical guidelines for clinical magnetoencephalography (MEG)

Self-energies and quasiparticle scattering interference

Metallic State of the Three-Band Hubbard Model with Super-Lattice Structure

Contact Info

Product

Resources

About