Collective modes and quasiparticle interference on the local density of states of cuprate superconductors

Abstract

The energy, momentum and temperature dependence of the quasiparticle local density of states (LDOS) of a two-dimensional $d_{x^2-y^2}$-wave superconductor with random disorder is investigated using the first-order T-matrix approximation. The results suggest that collective modes such as spin/charge density waves are relevant low-energy excitations of the cuprates that contribute to the observed LDOS modulations in recent scanning tunneling microscopy studies of $\mathrm{B}{\mathrm{i}}_2\mathrm{S}{\mathrm{r}}_2\mathrm{CaC}{\mathrm{u}}_2{\mathrm{O}}_{\mathrm{x}}$.

5 figures, accepted for publication in Physical Review B, Rapid Communications. Contact author: Nai-Chang Yeh (e-mail address: [email protected])

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• Scanning tunneling spectroscopic evidence for magnetic field-induced microscopic orders in the high-$T_c$ superconductor YBa${}_2$Cu${}_3$O${}_{7-\delta }$
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