Fourier Transformed Scanning Tunneling Peaks in the $d$-density wave phase

TL;DR

This paper revisits the Fourier transformed scanning tunneling spectra of the $d$-density wave phase using a more realistic band structure aligned with ARPES data, revealing shifted peaks and their energy dispersion.

Contribution

It provides a revised calculation of the Fourier transformed spectra with an improved band structure, highlighting the energy-dependent shift of spectral peaks.

Findings

Peaks at $( ext{±}rac{ ext{π}}{4},0)$ and $(0, ext{±}rac{ ext{π}}{4})$ are still present.

Positive energy peaks shift near $( ext{±}rac{2 ext{ extpi}}{5},0)$ and $(0, ext{±}rac{2 ext{ extpi}}{5})$.

Spectral peaks disperse slowly with energy.

Abstract

In this brief note we repeat an earlier calculation of the Fourier transformed scanning tunneling spectra of the $d$-density wave (DDW) phase using a different band structure, which is more realistic and consistent with the angle resolved photoemission spectroscopy (ARPES) data. We note that four peaks, which used to be located at $(\pm \pi/4,0)$ and $(0, \pm \pi/4)$, are still present, but at positive energies their wavevectors shift to the neighborhood of $(\pm 2 \pi/5,0)$, $(0, \pm 2\pi/5)$ and slowly disperse with energy. The implications for the sensitivity with respect to the band structure are discussed.