Modulation of the local density of states within the $d$-density wave theory in the underdoped cuprates

TL;DR

This paper investigates how local density of states in underdoped cuprates is affected by coexisting d-density wave and d-wave superconducting states, using self-consistent calculations to match experimental STM spectra.

Contribution

It introduces a theoretical framework combining d-density wave and d-wave superconductivity with impurity effects to explain STM observations in underdoped cuprates.

Findings

Captures key features of low-temperature STM spectra in underdoped BSCCO.

Shows local modulations of order parameters due to impurities.

Provides insights into the interplay of competing orders in cuprates.

Abstract

The low temperature scanning tunneling microscopy spectra in the underdoped regime is analyzed from the perspective of coexisting $d$-density wave and d-wave superconducting states. The calculations are carried out in the presence of a low concentration of unitary impurities and within the framework of the fully self-consistent Bogoliubov-de Gennes theory, which allows local modulations of the magnitude of the order parameters in response to the impurities. Our theory captures the essential aspects of the experiments in the underdoped BSCCO at very low temperatures.