Composite charge order in the pseudogap region of the cuprates

Abstract

We study the Ginzburg-Landau free energy functional for two coupled U(1) charge order parameters describing two non-equivalent charge orders with wave vector $\mathbf{Q}$ detected in X-ray and STM measurements of underdoped cuprates. We do not rely on a mean-field analysis, but rather utilize a field-theoretical technique suitable to study the interplay between vortex physics and discrete symmetry breaking in two-dimensional systems with U(1) symmetry. Our calculations support the idea that in the clean systems there are two transitions: from a high temperature disordered state into a state with a composite charge order which breaks time-reversal symmetry, but leaves U(1) fields disordered, and then into a state with quasi long range order in the U(1) fields.

arXiv comment8 pages, 1 figure; the version to appear in Phys. Rev. B, typos removed

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• Interplay between pair-density-wave and charge-density-wave orders in underdoped cuprates
• Density-wave instabilities of fractionalized Fermi liquids
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• Giant Phonon Anomaly associated with Superconducting Fluctuations in the Pseudogap Phase of Cuprates
• Emergent Charge Order from Correlated Electron-Phonon Physics in Cuprates
• Strong competition between ${\Theta }_{II}$-loop-current order and $d$-wave charge order along the diagonal direction in a two-dimensional hot spot model
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• Angle Resolved Photo-Emission Spectroscopy signature of the Resonant Excitonic State
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• $d$-Density Wave (DDW) Scenario Description of the New Hidden Charge Order in Cuprates
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