Charge modulation, spin response, and dual Hofstadter butterfly in high-Tc cuprates

Abstract

The modulated density of states observed in recent STM experiments in underdoped cuprates is argued to be a manifestation of the charge density wave of Cooper pairs (CPCDW). CPCDW formation is due to superconducting phase fluctuations enhanced by Mott-Hubbard correlations near half-filling. The physics behind the CPCDW is related to a Hofstadter problem in a dual superconductor. It is shown that CPCDW does not impact nodal fermions at the leading order. An experiment is proposed to probe coupling of the CPCDW to the spin carried by nodal quasiparticles.

arXiv comment4 pages. Streamlined introduction, corrected typos, added references. To appear in PRL. For related work and information see cond-mat/0408344 and visit http://www.pha.jhu.edu/people/faculty/zbt.html

References in corpus (13)

• How to detect fluctuating order in the high-temperature superconductors
• Hidden Order in the Cuprates
• A Four-Unit-Cell Periodic Pattern of Quasiparticle States Surrounding Vortex Cores in Bi2Sr2CaCu2O8+d
• Local Ordering in the Pseudogap State of the High-T${}_c$ Superconductor Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$
• Periodic Density of States Modulations in Superconducting $\mathrm{B}{\mathrm{i}}_2\mathrm{S}{\mathrm{r}}_2\mathrm{CaC}{\mathrm{u}}_2{\mathrm{O}}_{8+\delta }$
• QED3 theory of pairing pseudogap in cuprates: From d-wave superconductor to antiferromagnet via "algebraic" Fermi liquid
• Algebraic Fermi liquid from phase fluctuations: "topological" fermions, vortex "berryons" and QED3 theory of cuprate superconductors
• Pair Density Wave in the Pseudogap State of High Temperature Superconductors
• Competing orders in a magnetic field: spin and charge order in the cuprate superconductors
• Dual Order Parameter for the Nodal Liquid
• Antiferromagnetism from phase disordering of a d-wave superconductor
• Global Phase Diagram of the High Tc Cuprates
• Quantum criticality of d-wave quasiparticles and superconducting phase fluctuations

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